Ali, Sajid; Azad, Hassan; Biswas, Indranil; Mahomed, Fazal M. Ideals and conjugacy classes in solvable Lie algebras. (English) Zbl 07796839 Int. J. Geom. Methods Mod. Phys. 20, No. 12, Article ID 2350202, 11 p. (2023). MSC: 17Bxx PDFBibTeX XMLCite \textit{S. Ali} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 12, Article ID 2350202, 11 p. (2023; Zbl 07796839) Full Text: DOI arXiv
Abramov, Viktor Ternary algebras associated with irreducible tensor representations of SO(3) and the quark model. (English) Zbl 07792290 Int. J. Geom. Methods Mod. Phys. 20, No. 5, Article ID 2350076, 18 p. (2023). MSC: 22E70 15A69 15B30 81R05 81V05 PDFBibTeX XMLCite \textit{V. Abramov}, Int. J. Geom. Methods Mod. Phys. 20, No. 5, Article ID 2350076, 18 p. (2023; Zbl 07792290) Full Text: DOI arXiv
Dvoeglazov, Valeriy V. On negative energy 4-spinors and masses in the Dirac equation. (English) Zbl 07787144 Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350071, 9 p. (2023). MSC: 22E60 81Q05 83A05 PDFBibTeX XMLCite \textit{V. V. Dvoeglazov}, Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350071, 9 p. (2023; Zbl 07787144) Full Text: DOI arXiv
Harrathi, Fattoum; Mabrouk, Sami; Ncib, Othmen; Silvestrov, Sergei Kupershmidt operators on Hom-Malcev algebras and their deformation. (English) Zbl 07787118 Int. J. Geom. Methods Mod. Phys. 20, No. 3, Article ID 2350046, 34 p. (2023). MSC: 17D30 17B61 17D10 17A01 17A30 17B10 PDFBibTeX XMLCite \textit{F. Harrathi} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 3, Article ID 2350046, 34 p. (2023; Zbl 07787118) Full Text: DOI arXiv
Ma, Yanzhi; Song, Yunjia; Yang, Ben; Wang, Zenggui Lie symmetry analysis, exact solutions and power series solutions of the logarithmic Monge-Ampère flow evolution equation. (English) Zbl 07802678 Int. J. Geom. Methods Mod. Phys. 19, No. 13, Article ID 2250209, 15 p. (2022). MSC: 22E50 22E60 53A10 PDFBibTeX XMLCite \textit{Y. Ma} et al., Int. J. Geom. Methods Mod. Phys. 19, No. 13, Article ID 2250209, 15 p. (2022; Zbl 07802678) Full Text: DOI
Masson, T.; Nieuviarts, G. Derivation-based noncommutative field theories on \(AF\) algebras. (English) Zbl 07822285 Int. J. Geom. Methods Mod. Phys. 18, No. 13, Article ID 2150213, 56 p. (2021). MSC: 81R60 46L89 16W25 81T75 46L35 81R40 PDFBibTeX XMLCite \textit{T. Masson} and \textit{G. Nieuviarts}, Int. J. Geom. Methods Mod. Phys. 18, No. 13, Article ID 2150213, 56 p. (2021; Zbl 07822285) Full Text: DOI arXiv
Grabowski, Janusz; Ravanpak, Zohreh Discrete mechanics on unitary octonions. (English) Zbl 07820777 Int. J. Geom. Methods Mod. Phys. 18, No. 6, Article ID 2150093, 20 p. (2021). MSC: 17B66 17Dxx 20N05 22A22 70G45 70Hxx PDFBibTeX XMLCite \textit{J. Grabowski} and \textit{Z. Ravanpak}, Int. J. Geom. Methods Mod. Phys. 18, No. 6, Article ID 2150093, 20 p. (2021; Zbl 07820777) Full Text: DOI arXiv
Cortés, V.; Gall, L.; Mohaupt, T. Four-dimensional vector multiplets in arbitrary signature. II. (English) Zbl 07813583 Int. J. Geom. Methods Mod. Phys. 17, No. 10, Article ID 2050151, 36 p. (2020). MSC: 17B81 81T60 PDFBibTeX XMLCite \textit{V. Cortés} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 10, Article ID 2050151, 36 p. (2020; Zbl 07813583) Full Text: DOI
Cortés, V.; Gall, L.; Mohaupt, T. Four-dimensional vector multiplets in arbitrary signature. I. (English) Zbl 07813582 Int. J. Geom. Methods Mod. Phys. 17, No. 10, Article ID 2050150, 25 p. (2020). MSC: 17B81 81T60 PDFBibTeX XMLCite \textit{V. Cortés} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 10, Article ID 2050150, 25 p. (2020; Zbl 07813582) Full Text: DOI arXiv
Hosseini, Masoumeh; Salimi Moghaddam, Hamid Reza Classification of Douglas \((\alpha, \beta)\)-metrics on five-dimensional nilpotent Lie groups. (English) Zbl 07811489 Int. J. Geom. Methods Mod. Phys. 17, No. 8, Article ID 2050112, 15 p. (2020). MSC: 22E60 53C60 PDFBibTeX XMLCite \textit{M. Hosseini} and \textit{H. R. Salimi Moghaddam}, Int. J. Geom. Methods Mod. Phys. 17, No. 8, Article ID 2050112, 15 p. (2020; Zbl 07811489) Full Text: DOI arXiv
Yourdkhany, Mahdieh; Nadjafikhah, Mehdi; Toomanian, Megerdich Lie symmetry analysis, conservation laws and some exact solutions of the time-fractional Buckmaster equation. (English) Zbl 07807448 Int. J. Geom. Methods Mod. Phys. 17, No. 3, Article ID 2050040, 21 p. (2020). MSC: 17B45 34K37 70G65 PDFBibTeX XMLCite \textit{M. Yourdkhany} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 3, Article ID 2050040, 21 p. (2020; Zbl 07807448) Full Text: DOI
Tang, Rong; Sheng, Yunhe; Zhou, Yanqiu Deformations of relative Rota-Baxter operators on Leibniz algebras. (English) Zbl 07807363 Int. J. Geom. Methods Mod. Phys. 17, No. 12, Article ID 2050174, 21 p. (2020). MSC: 17A32 17B38 17B62 PDFBibTeX XMLCite \textit{R. Tang} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 12, Article ID 2050174, 21 p. (2020; Zbl 07807363) Full Text: DOI arXiv
Shanker, Gauree; Rani, Sarita On \(S\)-curvature of a homogeneous Finsler space with square metric. (English) Zbl 07806583 Int. J. Geom. Methods Mod. Phys. 17, No. 2, Article ID 2050019, 16 p. (2020). MSC: 22E60 53C30 53C60 PDFBibTeX XMLCite \textit{G. Shanker} and \textit{S. Rani}, Int. J. Geom. Methods Mod. Phys. 17, No. 2, Article ID 2050019, 16 p. (2020; Zbl 07806583) Full Text: DOI arXiv
Cariñena, J. F.; Grabowski, J.; de Lucas, J. Quasi-Lie schemes for PDEs. (English) Zbl 1423.35012 Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950096, 36 p. (2019). MSC: 35A30 17B66 22E70 37K35 81T10 81T40 81R12 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 7, Article ID 1950096, 36 p. (2019; Zbl 1423.35012) Full Text: DOI arXiv
Palese, Marcella; Winterroth, Ekkehart Higgs fields induced by Yang-Mills type Lagrangians on gauge-natural prolongations of principal bundles. (English) Zbl 1422.81130 Int. J. Geom. Methods Mod. Phys. 16, No. 3, Article ID 1950049, 15 p. (2019). MSC: 81R40 55N30 53Z05 58A20 55R10 58A12 58E30 81V22 81R05 81V35 PDFBibTeX XMLCite \textit{M. Palese} and \textit{E. Winterroth}, Int. J. Geom. Methods Mod. Phys. 16, No. 3, Article ID 1950049, 15 p. (2019; Zbl 1422.81130) Full Text: DOI arXiv
Fioresi, R.; Latini, E.; Marrani, A. The \(q\)-linked complex Minkowski space, its real forms and deformed isometry groups. (English) Zbl 1431.17009 Int. J. Geom. Methods Mod. Phys. 16, No. 1, Article ID 1950009, 21 p. (2019). MSC: 17B37 16T20 20G42 81R50 17B60 PDFBibTeX XMLCite \textit{R. Fioresi} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 1, Article ID 1950009, 21 p. (2019; Zbl 1431.17009) Full Text: DOI arXiv
Koivisto, Tomi An integrable geometrical foundation of gravity. (English) Zbl 1408.83039 Int. J. Geom. Methods Mod. Phys. 15, Suppl. 01, Article ID 1840006, 22 p. (2018). MSC: 83D05 51P05 83C40 70S15 53B50 17B81 PDFBibTeX XMLCite \textit{T. Koivisto}, Int. J. Geom. Methods Mod. Phys. 15, Article ID 1840006, 22 p. (2018; Zbl 1408.83039) Full Text: DOI arXiv
Fraj, N. Ben; Khalfoun, H.; Faidi, T. The relative cohomology of the Lie superalgebra of contact vector fields on \(S^{1 | 2}\). (English) Zbl 1441.53075 Int. J. Geom. Methods Mod. Phys. 15, No. 12, Article ID 1850203, 19 p. (2018). MSC: 53D55 14F10 17B10 17B68 17B56 81R10 PDFBibTeX XMLCite \textit{N. B. Fraj} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 12, Article ID 1850203, 19 p. (2018; Zbl 1441.53075) Full Text: DOI
Faidi, Thamer \(\mathfrak{h}\)-Relative cohomology on \(S^{1 | 1}\) and deformations. (English) Zbl 1462.53082 Int. J. Geom. Methods Mod. Phys. 15, No. 12, Article ID 1850202, 15 p. (2018). MSC: 53D55 14F10 17B10 17B68 17B56 35S05 81R10 PDFBibTeX XMLCite \textit{T. Faidi}, Int. J. Geom. Methods Mod. Phys. 15, No. 12, Article ID 1850202, 15 p. (2018; Zbl 1462.53082) Full Text: DOI
Gao, Bian; Cui, Jifeng; Wang, Xiaoli; Yan, Zhaowen \((2 + 1)\)-Dimensional generalized third-order Heisenberg supermagnet model. (English) Zbl 1407.82065 Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850185, 12 p. (2018). MSC: 82D40 17B65 17B80 37K10 37K30 37K35 81Q60 PDFBibTeX XMLCite \textit{B. Gao} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850185, 12 p. (2018; Zbl 1407.82065) Full Text: DOI
Yan, Zhaowen; Li, Chuanzhong Fermionic covariant prolongation structure theory for a \((2 + 1)\)-dimensional super nonlinear evolution equation. (English) Zbl 1388.37072 Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850114, 11 p. (2018). MSC: 37K10 37K20 37K35 17B65 17B80 82D40 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{C. Li}, Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850114, 11 p. (2018; Zbl 1388.37072) Full Text: DOI
Bolokhov, S. V.; Ivashchuk, V. D. On generalized Melvin solutions for Lie algebras of rank \(3\). (English) Zbl 1390.83309 Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850108, 13 p. (2018). MSC: 83E15 83C15 17B45 17B20 PDFBibTeX XMLCite \textit{S. V. Bolokhov} and \textit{V. D. Ivashchuk}, Int. J. Geom. Methods Mod. Phys. 15, No. 7, Article ID 1850108, 13 p. (2018; Zbl 1390.83309) Full Text: DOI arXiv
Mondal, Santu; Dutta, Sourav; Tarafdar, Manjusha; Chakraborty, Subenoy A cosmological study of Einstein-Skyrme model in anisotropic Kantowski-Sachs spacetime using Lie and Noether symmetries. (English) Zbl 1471.83026 Int. J. Geom. Methods Mod. Phys. 15, No. 6, Article ID 1850089, 11 p. (2018). MSC: 83F05 83C15 83C55 76E20 76M60 35R03 70H33 17B81 PDFBibTeX XMLCite \textit{S. Mondal} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 6, Article ID 1850089, 11 p. (2018; Zbl 1471.83026) Full Text: DOI
Merati, S.; Farhangdoost, M. R. Representation up to homotopy of hom-Lie algebroids. (English) Zbl 1390.53092 Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850074, 13 p. (2018). MSC: 53D17 17B15 17B66 PDFBibTeX XMLCite \textit{S. Merati} and \textit{M. R. Farhangdoost}, Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850074, 13 p. (2018; Zbl 1390.53092) Full Text: DOI arXiv
Basdouri, Khaled; Omri, Salem Cohomology and deformation of \(\mathfrak{aff}(1 | 1)\) acting on differential operators. (English) Zbl 1390.17028 Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850072, 15 p. (2018). MSC: 17B56 53D55 58H15 81S10 46S60 35S05 PDFBibTeX XMLCite \textit{K. Basdouri} and \textit{S. Omri}, Int. J. Geom. Methods Mod. Phys. 15, No. 5, Article ID 1850072, 15 p. (2018; Zbl 1390.17028) Full Text: DOI
Ravanpak, Zohreh; Rezaei-Aghdam, Adel; Haghighatdoost, Ghorbanali Invariant Poisson-Nijenhuis structures on Lie groups and classification. (English) Zbl 1400.37064 Int. J. Geom. Methods Mod. Phys. 15, No. 4, Article ID 1850059, 37 p. (2018). Reviewer: Marco Zambon (Madrid) MSC: 37J35 53D17 17B62 17B80 16T25 70G65 PDFBibTeX XMLCite \textit{Z. Ravanpak} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 4, Article ID 1850059, 37 p. (2018; Zbl 1400.37064) Full Text: DOI arXiv
Chen, Chao; Chen, Zhiqi; Hu, Yuwang Einstein metrics and Einstein-Randers metrics on a class of homogeneous manifolds. (English) Zbl 1385.53032 Int. J. Geom. Methods Mod. Phys. 15, No. 4, Article ID 1850052, 21 p. (2018). MSC: 53C25 53C30 17B20 22E46 PDFBibTeX XMLCite \textit{C. Chen} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 4, Article ID 1850052, 21 p. (2018; Zbl 1385.53032) Full Text: DOI
Asgari, Farhad; Salimi Moghaddam, Hamid Reza Left invariant Randers metrics of Berwald type on tangent Lie groups. (English) Zbl 1392.53033 Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1850015, 10 p. (2018). Reviewer: Gauree Shanker (Bathinda) MSC: 53B21 22E60 22E15 53C60 14M15 53C30 PDFBibTeX XMLCite \textit{F. Asgari} and \textit{H. R. Salimi Moghaddam}, Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1850015, 10 p. (2018; Zbl 1392.53033) Full Text: DOI arXiv
Arbuzov, Andrej B.; Cirilo-Lombardo, Diego Julio Dynamical symmetries, coherent states and nonlinear realizations: the \(\mathrm{SO}(2, 4)\) case. (English) Zbl 1380.81159 Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1850005, 20 p. (2018). MSC: 81R30 81R05 81R40 20C35 17B45 PDFBibTeX XMLCite \textit{A. B. Arbuzov} and \textit{D. J. Cirilo-Lombardo}, Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1850005, 20 p. (2018; Zbl 1380.81159) Full Text: DOI arXiv
Fraj, Nizar Ben; Laraiedh, Ismail; Abdaoui, M. Cohomology of \(\mathfrak{aff}(2)\) acting on some modules and deformations. (English) Zbl 1386.17022 Int. J. Geom. Methods Mod. Phys. 14, No. 12, Article ID 1750180, 17 p. (2017). MSC: 17B56 17A70 53D55 46S60 PDFBibTeX XMLCite \textit{N. B. Fraj} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 12, Article ID 1750180, 17 p. (2017; Zbl 1386.17022) Full Text: DOI
Khalfoun, Hafedh \(\mathfrak{aff}(1 | 1)\)-relative cohomology on \(\mathbb{R}^{1 | 1}\). (English) Zbl 1386.17023 Int. J. Geom. Methods Mod. Phys. 14, No. 12, Article ID 1750174, 12 p. (2017). MSC: 17B56 17B66 17A70 46S60 PDFBibTeX XMLCite \textit{H. Khalfoun}, Int. J. Geom. Methods Mod. Phys. 14, No. 12, Article ID 1750174, 12 p. (2017; Zbl 1386.17023) Full Text: DOI
Abramov, Viktor Matrix 3-Lie superalgebras and BRST supersymmetry. (English) Zbl 1392.17004 Int. J. Geom. Methods Mod. Phys. 14, No. 11, Article ID 1750160, 18 p. (2017). MSC: 17A70 15A66 17B60 17B66 17B81 81T60 PDFBibTeX XMLCite \textit{V. Abramov}, Int. J. Geom. Methods Mod. Phys. 14, No. 11, Article ID 1750160, 18 p. (2017; Zbl 1392.17004) Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe; Wang, Chunyue Omni \(n\)-Lie algebras and linearization of higher analogues of Courant algebroids. (English) Zbl 1375.53100 Int. J. Geom. Methods Mod. Phys. 14, No. 7, Article ID 1750113, 18 p. (2017). MSC: 53D17 17B99 PDFBibTeX XMLCite \textit{J. Liu} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 7, Article ID 1750113, 18 p. (2017; Zbl 1375.53100) Full Text: DOI arXiv
Basdouri, Imed; Nasri, Elamine; Mechi, Hassen Cohomology of the vector fields Lie algebras on \(\mathbb{R}\) acting on trilinear differential operators, vanishing on \(\mathfrak{aff}(1)\). (English) Zbl 1400.17009 Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750150, 28 p. (2017). MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750150, 28 p. (2017; Zbl 1400.17009) Full Text: DOI
Rezaei-Aghdam, A.; Sedghi-Ghadim, L. 3-Leibniz bialgebras (3-Lie bialgebras). (English) Zbl 1400.17003 Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750142, 27 p. (2017). MSC: 17A32 17A40 17B56 17B60 17B80 PDFBibTeX XMLCite \textit{A. Rezaei-Aghdam} and \textit{L. Sedghi-Ghadim}, Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750142, 27 p. (2017; Zbl 1400.17003) Full Text: DOI arXiv
Sepehri, Alireza; Pradhan, Anirudh; Pincak, Richard; Rahaman, Farook; Beesham, A.; Ghaffary, Tooraj Birth of the GUP and its effect on the entropy of the universe in Lie-\(N\)-algebra. (English) Zbl 1373.81249 Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750130, 29 p. (2017). MSC: 81S05 62J10 81T30 83E30 83C65 94A17 17B81 PDFBibTeX XMLCite \textit{A. Sepehri} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750130, 29 p. (2017; Zbl 1373.81249) Full Text: DOI arXiv
Özer, H. T. Casimir \(\mathcal{WA}_N\) algebras as the truncated \(\mathcal{W}_\infty\) algebra. (English) Zbl 1373.81236 Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750121, 22 p. (2017). MSC: 81R10 17B05 17B68 17B81 PDFBibTeX XMLCite \textit{H. T. Özer}, Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750121, 22 p. (2017; Zbl 1373.81236) Full Text: DOI arXiv
Armakan, A. R.; Farhangdoost, M. R. Geometric aspects of extensions of hom-Lie superalgebras. (English) Zbl 1365.17008 Int. J. Geom. Methods Mod. Phys. 14, No. 6, Article ID 1750085, 13 p. (2017). MSC: 17B56 17B99 53C05 PDFBibTeX XMLCite \textit{A. R. Armakan} and \textit{M. R. Farhangdoost}, Int. J. Geom. Methods Mod. Phys. 14, No. 6, Article ID 1750085, 13 p. (2017; Zbl 1365.17008) Full Text: DOI
Basdouri, Imed; Bartouli, Issam; Lerbet, Jean Deforming \(\mathfrak{h}\)-trivial the Lie algebra \(\operatorname{Vect}(S^1)\) inside the Lie algebra of pseudodifferential operators \(\Psi\mathcal{DO}\). (English) Zbl 1416.17008 Int. J. Geom. Methods Mod. Phys. 14, No. 6, Article ID 1750082, 20 p. (2017). MSC: 17B56 17B63 17B66 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 6, Article ID 1750082, 20 p. (2017; Zbl 1416.17008) Full Text: DOI
Khalfoun, Hafedh; Faidi, Thamer On the \(\mathfrak{aff}(m|1)\)-relative cohomology of the orthosymplectic superalgebra \(\mathfrak{osp}(m|2)\) and \(\mathfrak{aff}(m|1)\)-trivial deformation. (English) Zbl 1358.53091 Int. J. Geom. Methods Mod. Phys. 14, No. 2, Article ID 1750027, 18 p. (2017). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 14F10 17B10 17B68 PDFBibTeX XMLCite \textit{H. Khalfoun} and \textit{T. Faidi}, Int. J. Geom. Methods Mod. Phys. 14, No. 2, Article ID 1750027, 18 p. (2017; Zbl 1358.53091) Full Text: DOI
Nizar, Ben Fraj; Abdaoui, Meher; Hamza, Raouafi On \(\mathfrak{osp}(1|2)\)-relative cohomology of the Lie superalgebra of contact vector fields on \(\mathbb{R}^{1|1}\). (English) Zbl 1358.53092 Int. J. Geom. Methods Mod. Phys. 14, No. 2, Article ID 1750022, 29 p. (2017). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 14F10 17B10 17B68 PDFBibTeX XMLCite \textit{B. F. Nizar} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 2, Article ID 1750022, 29 p. (2017; Zbl 1358.53092) Full Text: DOI
El Gomdi, Nabila; Messaoud, Rim Cohomology of orthosymplectic Lie superalgebra acting on \(\lambda\)-densities on \(\mathbb{R}^{1|n}\). (English) Zbl 1391.17020 Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750016, 9 p. (2017). MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{N. El Gomdi} and \textit{R. Messaoud}, Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750016, 9 p. (2017; Zbl 1391.17020) Full Text: DOI
Okba, Basdouri; Elamine, Nasri \(\mathfrak{sl}(2,\mathbb R)\)-invariant 3-ary differential operators and cohomology of \((2,\mathbb R)\) acting on 3-ary differential operators. (English) Zbl 1391.17021 Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750015, 17 p. (2017). MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{B. Okba} and \textit{N. Elamine}, Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750015, 17 p. (2017; Zbl 1391.17021) Full Text: DOI
Yan, Zhao-Wen; Tala; Chen, Fang; Liu, Tao-Ran; Han, Jing-Min \((2+1)\)-dimensional supersymmetric integrable equations. (English) Zbl 1356.81201 Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750013, 12 p. (2017). MSC: 81T60 81R12 35Q55 35Q53 82B20 37K10 37K35 17B70 83E15 PDFBibTeX XMLCite \textit{Z.-W. Yan} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750013, 12 p. (2017; Zbl 1356.81201) Full Text: DOI
Hamza, Raouafi; Selmi, Zeineb; Boujelben, Jamel Differential operators on the supercircle \(S^{1|2}\) and symbol map. (English) Zbl 1371.58004 Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750002, 21 p. (2017). Reviewer: Andrew Bruce (Warszawa) MSC: 58A50 58C50 46S60 53D10 17B66 17B10 PDFBibTeX XMLCite \textit{R. Hamza} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 1, Article ID 1750002, 21 p. (2017; Zbl 1371.58004) Full Text: DOI
Basdouri, Imed; Derbali, Ammar; Chraygui, Mohamed Elkhames Cohomology of \(\mathfrak{aff}(2| 1)\) acting on the space of linear differential operators on the superspace \(\mathbb{R}^{1| 2}\). (English) Zbl 1391.17018 Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650124, 12 p. (2016). Reviewer: Anatoliy Petravchuk (Kyiv) MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650124, 12 p. (2016; Zbl 1391.17018) Full Text: DOI
Kahvecí, Derya; Yayli, Yusuf; Gök, İsmail The geometrical and algebraic interpretations of Euler-Rodrigues formula in Minkowski 3-space. (English) Zbl 1354.53021 Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650116, 10 p. (2016). MSC: 53A35 53B30 53A17 15B10 PDFBibTeX XMLCite \textit{D. Kahvecí} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650116, 10 p. (2016; Zbl 1354.53021) Full Text: DOI
Pessers, Victor; van der Veken, Joeri Riemannian manifolds as Lie-Rinehart algebras. (English) Zbl 1352.53008 Int. J. Geom. Methods Mod. Phys. 13, Suppl. 1, Article ID 1641003, 23 p. (2016). MSC: 53B20 17B66 PDFBibTeX XMLCite \textit{V. Pessers} and \textit{J. van der Veken}, Int. J. Geom. Methods Mod. Phys. 13, Article ID 1641003, 23 p. (2016; Zbl 1352.53008) Full Text: DOI
Yasar, Ergün The Hopf algebra structure of the \(h\)-deformed \(Z_{3}\)-graded quantum supergroup \(\mathrm{GL}_{h,j}(1|1)\). (English) Zbl 1345.81064 Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650103, 10 p. (2016). MSC: 81R50 17B37 17B01 16T05 PDFBibTeX XMLCite \textit{E. Yasar}, Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650103, 10 p. (2016; Zbl 1345.81064) Full Text: DOI
Rezaei-Aghdam, Adel; Sephid, Mehdi Classical \(r\)-matrices of real low-dimensional Jacobi-Lie bialgebras and their Jacobi-Lie groups. (English) Zbl 1402.17026 Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650087, 34 p. (2016). MSC: 17B62 17B80 PDFBibTeX XMLCite \textit{A. Rezaei-Aghdam} and \textit{M. Sephid}, Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650087, 34 p. (2016; Zbl 1402.17026) Full Text: DOI arXiv
Oikonomou, V. K. Low dimensional supersymmetries in SUSY Chern-Simons systems and geometrical implications. (English) Zbl 1342.81245 Int. J. Geom. Methods Mod. Phys. 13, No. 6, Article ID 1650083, 17 p. (2016). MSC: 81T10 81T60 58J28 55R10 17B70 PDFBibTeX XMLCite \textit{V. K. Oikonomou}, Int. J. Geom. Methods Mod. Phys. 13, No. 6, Article ID 1650083, 17 p. (2016; Zbl 1342.81245) Full Text: DOI arXiv
Nishiyama, Seiya; da Providência, João Modified non-Euclidean transformation on the \(\frac{\mathrm{SO}(2N+2)}{U(N+1)}\) Grassmannian and \(\mathrm{SO}(2N+1)\) random phase approximation for unified description of Bose and Fermi type collective excitations. (English) Zbl 1381.81174 Int. J. Geom. Methods Mod. Phys. 13, No. 4, Article ID 1650043, 24 p. (2016). MSC: 81V35 81V70 PDFBibTeX XMLCite \textit{S. Nishiyama} and \textit{J. da Providência}, Int. J. Geom. Methods Mod. Phys. 13, No. 4, Article ID 1650043, 24 p. (2016; Zbl 1381.81174) Full Text: DOI arXiv
Torres del Castillo, G. F.; Rosete-Álvarez, D. A. Active versus passive transformations in the presence of a magnetic field. (English) Zbl 1337.81073 Int. J. Geom. Methods Mod. Phys. 13, No. 4, Article ID 1650041, 8 p. (2016). MSC: 81R05 70H33 78A30 37J15 81V10 22E70 PDFBibTeX XMLCite \textit{G. F. Torres del Castillo} and \textit{D. A. Rosete-Álvarez}, Int. J. Geom. Methods Mod. Phys. 13, No. 4, Article ID 1650041, 8 p. (2016; Zbl 1337.81073) Full Text: DOI arXiv
Cirilo-Lombardo, Diego Julio Coherent states, vacuum structure and infinite component relativistic wave equations. (English) Zbl 1333.81136 Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1650004, 10 p. (2016). MSC: 81Q05 81R20 81R05 81R30 22E70 57R17 PDFBibTeX XMLCite \textit{D. J. Cirilo-Lombardo}, Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1650004, 10 p. (2016; Zbl 1333.81136) Full Text: DOI arXiv
Basdouri, Imed; Boujelben, Maha; Derbali, Ammar First cohomology of \(\mathfrak{aff}(1)\) and \(\mathfrak{aff}(1|1)\) acting on linear differential operators. (English) Zbl 1391.17017 Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1550130, 11 p. (2016). MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1550130, 11 p. (2016; Zbl 1391.17017) Full Text: DOI
Reboiro, M.; Civitarese, O. Intelligent spin states constructed from \(\mathrm{SU}_{q}(2)\) coherent states. (English) Zbl 1331.81145 Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560023, 7 p. (2015). MSC: 81R30 81R15 22E45 81V80 81R50 17B37 81R25 PDFBibTeX XMLCite \textit{M. Reboiro} and \textit{O. Civitarese}, Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560023, 7 p. (2015; Zbl 1331.81145) Full Text: DOI
Aldaya, Víctor; Guerrero, Julio; Lopez-Ruiz, Francisco F.; Cossío, Francisco Symmetries from the solution manifold. (English) Zbl 1378.70023 Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560016, 11 p. (2015). MSC: 70H33 17B81 37J15 PDFBibTeX XMLCite \textit{V. Aldaya} et al., Int. J. Geom. Methods Mod. Phys. 12, No. 8, Article ID 1560016, 11 p. (2015; Zbl 1378.70023) Full Text: DOI
De Lucas, Javier; Tobolski, Mariusz; Vilariño, Silvia A new application of \(k\)-symplectic Lie systems. (English) Zbl 1334.34028 Int. J. Geom. Methods Mod. Phys. 12, No. 7, Article ID 1550071, 6 p. (2015). Reviewer: Werner M. Seiler (Kassel) MSC: 34A26 53Z05 70H99 PDFBibTeX XMLCite \textit{J. De Lucas} et al., Int. J. Geom. Methods Mod. Phys. 12, No. 7, Article ID 1550071, 6 p. (2015; Zbl 1334.34028) Full Text: DOI arXiv
Fakhri, H.; Nouraddini, M. Scalar product for the tensor operators of the quantum algebra \(\breve{U}_{q}(\mathrm{su}_{2})\) by the Wigner-Eckart theorem. (English) Zbl 1329.81239 Int. J. Geom. Methods Mod. Phys. 12, No. 10, Article ID 1550107, 6 p. (2015). MSC: 81R50 17B37 22E70 16T05 46L60 47B10 PDFBibTeX XMLCite \textit{H. Fakhri} and \textit{M. Nouraddini}, Int. J. Geom. Methods Mod. Phys. 12, No. 10, Article ID 1550107, 6 p. (2015; Zbl 1329.81239) Full Text: DOI
Kori, Tosiaki; Imai, Yuto Lie algebra extensions of current algebras on \(S^{3}\). (English) Zbl 1327.81277 Int. J. Geom. Methods Mod. Phys. 12, No. 9, Article ID 1550087, 7 p. (2015). MSC: 81T40 81R10 17B65 17B67 22E67 17B22 PDFBibTeX XMLCite \textit{T. Kori} and \textit{Y. Imai}, Int. J. Geom. Methods Mod. Phys. 12, No. 9, Article ID 1550087, 7 p. (2015; Zbl 1327.81277) Full Text: DOI arXiv
Nishiyama, Seiya; da Providência, João \(\frac{\mathrm{SO}(2N)}{U(N)}\) Riccati-Hartree-Bogoliubov equation based on the \(\mathrm{SO}(2N)\) Lie algebra of the fermion operators. (English) Zbl 1312.81141 Int. J. Geom. Methods Mod. Phys. 12, No. 3, Article ID 1550035, 26 p. (2015). MSC: 81V70 81R05 81V35 81Q05 81Q35 22E70 32Q15 PDFBibTeX XMLCite \textit{S. Nishiyama} and \textit{J. da Providência}, Int. J. Geom. Methods Mod. Phys. 12, No. 3, Article ID 1550035, 26 p. (2015; Zbl 1312.81141) Full Text: DOI arXiv
Faizal, Mir Consequences of deformation of the Heisenberg algebra. (English) Zbl 1309.81108 Int. J. Geom. Methods Mod. Phys. 12, No. 2, Article ID 1550022, 9 p. (2015). MSC: 81R15 81P05 81T05 35R03 14D15 81S05 81T70 PDFBibTeX XMLCite \textit{M. Faizal}, Int. J. Geom. Methods Mod. Phys. 12, No. 2, Article ID 1550022, 9 p. (2015; Zbl 1309.81108) Full Text: DOI arXiv
Fiorenza, Domenico; Sati, Hisham; Schreiber, Urs Super-Lie \(n\)-algebra extensions, higher WZW models and super-\(p\)-branes with tensor multiplet fields. (English) Zbl 1309.81216 Int. J. Geom. Methods Mod. Phys. 12, No. 2, Article ID 1550018, 35 p. (2015). MSC: 81T30 17B55 83E30 83E50 PDFBibTeX XMLCite \textit{D. Fiorenza} et al., Int. J. Geom. Methods Mod. Phys. 12, No. 2, Article ID 1550018, 35 p. (2015; Zbl 1309.81216) Full Text: DOI arXiv
Rovi, Ana Hopf algebroids associated to Jacobi algebras. (English) Zbl 1339.17016 Int. J. Geom. Methods Mod. Phys. 11, No. 10, Article ID 1450092, 20 p. (2014). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B60 53D55 16T99 53D10 PDFBibTeX XMLCite \textit{A. Rovi}, Int. J. Geom. Methods Mod. Phys. 11, No. 10, Article ID 1450092, 20 p. (2014; Zbl 1339.17016) Full Text: DOI arXiv
Capozziello, Salvatore; Cirilo-Lombardo, D. J.; De Laurentis, Mariafelicia The affine structure of gravitational theories: symplectic groups and geometry. (English) Zbl 1329.83150 Int. J. Geom. Methods Mod. Phys. 11, No. 10, Article ID 1450081, 20 p. (2014). MSC: 83D05 83C05 22E10 17B45 81T20 53Z05 PDFBibTeX XMLCite \textit{S. Capozziello} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 10, Article ID 1450081, 20 p. (2014; Zbl 1329.83150) Full Text: DOI arXiv
Popescu, Paul Poisson structures on almost complex Lie algebroids. (English) Zbl 1302.32024 Int. J. Geom. Methods Mod. Phys. 11, No. 8, Article ID 1450069, 22 p. (2014). MSC: 32Q60 17B66 53D17 PDFBibTeX XMLCite \textit{P. Popescu}, Int. J. Geom. Methods Mod. Phys. 11, No. 8, Article ID 1450069, 22 p. (2014; Zbl 1302.32024) Full Text: DOI arXiv
Grabowski, Janusz Modular classes revisited. (English) Zbl 1343.53082 Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460042, 11 p. (2014). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 17B56 17B66 17B70 58A32 58C50 PDFBibTeX XMLCite \textit{J. Grabowski}, Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460042, 11 p. (2014; Zbl 1343.53082) Full Text: DOI arXiv
Elżanowski, Marek Z.; Preston, Serge Continuously defective crystals with a prescribed dislocation density. (English) Zbl 1302.74126 Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460034, 8 p. (2014). MSC: 74N05 53Z05 17B66 PDFBibTeX XMLCite \textit{M. Z. Elżanowski} and \textit{S. Preston}, Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460034, 8 p. (2014; Zbl 1302.74126) Full Text: DOI
Karaçuha, Serkan; Lomp, Christian Integral calculus on quantum exterior algebras. (English) Zbl 1302.16033 Int. J. Geom. Methods Mod. Phys. 11, No. 4, Article ID 1450026, 20 p. (2014). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16T20 58B32 16W25 16T05 17B37 17B40 PDFBibTeX XMLCite \textit{S. Karaçuha} and \textit{C. Lomp}, Int. J. Geom. Methods Mod. Phys. 11, No. 4, Article ID 1450026, 20 p. (2014; Zbl 1302.16033) Full Text: DOI arXiv
Bodaghi, Abasalt; Park, Choonkil Jordan \(*\)-derivations and quadratic Jordan \(\ast\)-derivations on real \(C^*\)-algebras and real \(JC^*\)-algebras. (English) Zbl 1370.39014 Int. J. Geom. Methods Mod. Phys. 10, No. 10, Article ID 1350051, 16 p. (2013). MSC: 39B82 47B48 39B52 39B72 47H10 17B65 PDFBibTeX XMLCite \textit{A. Bodaghi} and \textit{C. Park}, Int. J. Geom. Methods Mod. Phys. 10, No. 10, Article ID 1350051, 16 p. (2013; Zbl 1370.39014) Full Text: DOI
Zheng, Keli; Zhang, Yongzheng On \((\alpha, \beta, \gamma)\)-derivations of Lie superalgebras. (English) Zbl 1370.17023 Int. J. Geom. Methods Mod. Phys. 10, No. 10, Article ID 1350050, 18 p. (2013). MSC: 17B40 17B05 PDFBibTeX XMLCite \textit{K. Zheng} and \textit{Y. Zhang}, Int. J. Geom. Methods Mod. Phys. 10, No. 10, Article ID 1350050, 18 p. (2013; Zbl 1370.17023) Full Text: DOI
Dali, Béchir Bundles of Lie algebras. (English) Zbl 1285.53069 Int. J. Geom. Methods Mod. Phys. 10, No. 9, Article ID 1350045, 17 p. (2013). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B05 55R65 PDFBibTeX XMLCite \textit{B. Dali}, Int. J. Geom. Methods Mod. Phys. 10, No. 9, Article ID 1350045, 17 p. (2013; Zbl 1285.53069) Full Text: DOI
Salom, Igor; Šijački, Djordje Validity of the Gell-Mann formula for \(\mathrm{su}(n,\mathbb R)\) and \(\mathrm{su}(n)\) algebras. (English) Zbl 1272.17011 Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350017, 10 p. (2013). Reviewer: Evelyn Weimar-Woods (Berlin) MSC: 17B05 17B20 81R05 PDFBibTeX XMLCite \textit{I. Salom} and \textit{D. Šijački}, Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350017, 10 p. (2013; Zbl 1272.17011) Full Text: DOI
Jóźwikowski, Michał Jacobi vector fields for Lagrangian systems on algebroids. (English) Zbl 1387.70029 Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350011, 35 p. (2013). MSC: 70S05 17B99 53D17 70H03 70H25 PDFBibTeX XMLCite \textit{M. Jóźwikowski}, Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350011, 35 p. (2013; Zbl 1387.70029) Full Text: DOI arXiv
Basdouri, Imed; Laraiedh, Ismail; Ncib, Othmen The linear \(\mathfrak{aff}(n|1)\)-invariant differential operators on weighted densities on the superspace \(\mathbb R^{1|n}\) and \(\mathfrak{aff}(n|1)\)-relative cohomology. (English) Zbl 1266.53082 Int. J. Geom. Methods Mod. Phys. 10, No. 4, Paper No. 1320004, 9 p. (2013). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 17B56 17B66 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 4, Paper No. 1320004, 9 p. (2013; Zbl 1266.53082) Full Text: DOI
Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun; Eshaghi Gordji, Madjid Comment on “Stability of \((\alpha,\beta,\gamma)\)-derivations on Lie \(C^*\)-algebras” by M. Eshaghi Gordji and N. Ghobadipour. (English) Zbl 1282.39034 Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220027, 8 p. (2013). Reviewer: Camillo Trapani (Palermo) MSC: 39B82 39B52 46L57 PDFBibTeX XMLCite \textit{C. Park} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220027, 8 p. (2013; Zbl 1282.39034) Full Text: DOI
Benmouloud, S.; Mansouri, M. W.; Sbai, S. M. Dressing-modular vector field of Poisson-Lie group. (English) Zbl 1260.53130 Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220025, 6 p. (2013). MSC: 53D17 17B56 PDFBibTeX XMLCite \textit{S. Benmouloud} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220025, 6 p. (2013; Zbl 1260.53130) Full Text: DOI
Lv, Na; Mei, Jian-Qin; Zhang, Hong-Qing Lie symmetries of two \((2+1)\)-dimensional Toda-like lattices by the extended differential form method. (English) Zbl 1323.37042 Int. J. Geom. Methods Mod. Phys. 9, No. 8, Paper No. 1220014, 11 p. (2012). MSC: 37K35 37K60 37K30 PDFBibTeX XMLCite \textit{N. Lv} et al., Int. J. Geom. Methods Mod. Phys. 9, No. 8, Paper No. 1220014, 11 p. (2012; Zbl 1323.37042) Full Text: DOI
Ben Ammar, Mabrouk; Jabeur, Amina; Safi, Imen Cohomology of \(\mathfrak {osp}(1|2)\) acting on the space of bilinear differential operators on the superspace \(\mathbb R^{1|1}\). (English) Zbl 1263.17017 Int. J. Geom. Methods Mod. Phys. 9, No. 4, Paper No. 1250033, 15 p. (2012). Reviewer: Panagiotis Batakidis (Nicosia) MSC: 17B56 17B55 17B66 PDFBibTeX XMLCite \textit{M. Ben Ammar} et al., Int. J. Geom. Methods Mod. Phys. 9, No. 4, Paper No. 1250033, 15 p. (2012; Zbl 1263.17017) Full Text: DOI arXiv
Gribacheva, Dobrinka A natural connection on a basic class of Riemannian product manifolds. (English) Zbl 1255.53022 Int. J. Geom. Methods Mod. Phys. 9, No. 7, Paper No. 1250057, 14 p. (2012). MSC: 53C05 53C15 53C25 53B05 22E60 PDFBibTeX XMLCite \textit{D. Gribacheva}, Int. J. Geom. Methods Mod. Phys. 9, No. 7, Paper No. 1250057, 14 p. (2012; Zbl 1255.53022) Full Text: DOI arXiv
De Traubenberg, M. Rausch Higher-order extensions of the Poincaré algebra. (English) Zbl 1254.81053 Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261010, 9 p. (2012). MSC: 81R05 81P05 22E70 70H33 PDFBibTeX XMLCite \textit{M. R. De Traubenberg}, Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261010, 9 p. (2012; Zbl 1254.81053) Full Text: DOI
Kovačević, Domagoj; Meljanac, Stjepan Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations. (English) Zbl 1251.83006 Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261009, 8 p. (2012). MSC: 83A05 83D05 16T05 17B45 22E10 81T20 PDFBibTeX XMLCite \textit{D. Kovačević} and \textit{S. Meljanac}, Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261009, 8 p. (2012; Zbl 1251.83006) Full Text: DOI
Sheng, Yunhe; Zhu, Chenchang Integration of semidirect product Lie 2-algebras. (English) Zbl 1277.17012 Int. J. Geom. Methods Mod. Phys. 9, No. 5, 1250043, 31 p. (2012). Reviewer: Béchir Dali (Riyadh) MSC: 17B55 18B40 18D10 PDFBibTeX XMLCite \textit{Y. Sheng} and \textit{C. Zhu}, Int. J. Geom. Methods Mod. Phys. 9, No. 5, 1250043, 31 p. (2012; Zbl 1277.17012) Full Text: DOI arXiv
Ngakeu, Ferdinand Graded Poisson structures and Schouten-Nijenhuis bracket on almost commutative algebras. (English) Zbl 1257.81041 Int. J. Geom. Methods Mod. Phys. 9, No. 5, 1250042, 20 p. (2012). MSC: 81R60 15A69 17B75 17B63 53D17 PDFBibTeX XMLCite \textit{F. Ngakeu}, Int. J. Geom. Methods Mod. Phys. 9, No. 5, 1250042, 20 p. (2012; Zbl 1257.81041) Full Text: DOI
Ferro, L.; Ibort, A. Folding and unfolding quantum states. (English) Zbl 1253.81019 Int. J. Geom. Methods Mod. Phys. 9, No. 2, Paper No. 28, 13 p. (2012). MSC: 81P15 17C65 PDFBibTeX XMLCite \textit{L. Ferro} and \textit{A. Ibort}, Int. J. Geom. Methods Mod. Phys. 9, No. 2, Paper No. 28, 13 p. (2012; Zbl 1253.81019) Full Text: DOI
Stern, A. Properties of Snyder space. (English) Zbl 1253.81082 Int. J. Geom. Methods Mod. Phys. 9, No. 2, Paper No. 16, 7 p. (2012). MSC: 81R60 81R20 81R05 22D10 22E70 PDFBibTeX XMLCite \textit{A. Stern}, Int. J. Geom. Methods Mod. Phys. 9, No. 2, Paper No. 16, 7 p. (2012; Zbl 1253.81082) Full Text: DOI
Castro, Carlos On octonionic gravity, exceptional Jordan strings and nonassociative ternary gauge field theories. (English) Zbl 1267.81240 Int. J. Geom. Methods Mod. Phys. 9, No. 3, Paper No. 21, 23 p. (2012). MSC: 81T13 53C07 83C47 PDFBibTeX XMLCite \textit{C. Castro}, Int. J. Geom. Methods Mod. Phys. 9, No. 3, Paper No. 21, 23 p. (2012; Zbl 1267.81240) Full Text: DOI
Mouna, F.; Bouetou, T. B.; Nguiffo, M. B. On cohomology of nilpotent symplectic Lie algebras of dim. \(\leq 6\) and deformation of those of dim. \(\leq 4\). (English) Zbl 1272.17025 Int. J. Geom. Methods Mod. Phys. 9, No. 3, Paper No. 20, 25 p. (2012). Reviewer: V. Gorbatsevich (Moskva) MSC: 17B56 17B30 PDFBibTeX XMLCite \textit{F. Mouna} et al., Int. J. Geom. Methods Mod. Phys. 9, No. 3, Paper No. 20, 25 p. (2012; Zbl 1272.17025) Full Text: DOI
Belhaj, A.; Elrhalami, A.; Fahssi, N.-E.; Khan, M. J. I.; Saidi, E. H.; Segui, A. Brane realizations of quantum Hall solitons and Lie algebras. (English) Zbl 1257.81083 Int. J. Geom. Methods Mod. Phys. 9, No. 3, Paper No. 17, 16 p. (2012). MSC: 81V80 81T30 81T60 22E70 35C08 PDFBibTeX XMLCite \textit{A. Belhaj} et al., Int. J. Geom. Methods Mod. Phys. 9, No. 3, Paper No. 17, 16 p. (2012; Zbl 1257.81083) Full Text: DOI arXiv
Mekerov, Dimitar; Manev, Mancho Natural connection with totally skew-symmetric torsion on Riemannian almost product manifolds. (English) Zbl 1243.53045 Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250003, 14 p. (2012). MSC: 53C05 53C15 53C25 53B05 22E60 PDFBibTeX XMLCite \textit{D. Mekerov} and \textit{M. Manev}, Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250003, 14 p. (2012; Zbl 1243.53045) Full Text: DOI arXiv
Ozavsar, Muttalip; Yesilot, Gursel Differential calculus on the logarithmic extension of the quantum 3D space and Weyl algebra. (English) Zbl 1243.81095 Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1667-1678 (2011). MSC: 81R50 17B37 81R60 16T05 PDFBibTeX XMLCite \textit{M. Ozavsar} and \textit{G. Yesilot}, Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1667--1678 (2011; Zbl 1243.81095) Full Text: DOI
Brzeziński, Tomasz Divergences on projective modules and non-commutative integrals. (English) Zbl 1222.58006 Int. J. Geom. Methods Mod. Phys. 8, No. 4, 885-896 (2011). MSC: 58B32 16W25 PDFBibTeX XMLCite \textit{T. Brzeziński}, Int. J. Geom. Methods Mod. Phys. 8, No. 4, 885--896 (2011; Zbl 1222.58006) Full Text: DOI arXiv
Salom, Igor; Šijački, Djordje Generalization of the Gell-Mann decontraction formula for \(\text{sl}(n,\mathbb R)\) and \(\text{su}(n)\) algebras. (English) Zbl 1280.17009 Int. J. Geom. Methods Mod. Phys. 8, No. 2, 395-410 (2011). MSC: 17B05 17B81 81R05 22E70 PDFBibTeX XMLCite \textit{I. Salom} and \textit{D. Šijački}, Int. J. Geom. Methods Mod. Phys. 8, No. 2, 395--410 (2011; Zbl 1280.17009) Full Text: DOI arXiv
Julve, J.; Tiemblo, A. Dynamical variables in gauge-translational gravity. (English) Zbl 1216.83029 Int. J. Geom. Methods Mod. Phys. 8, No. 2, 381-393 (2011). MSC: 83C47 83C40 17B45 PDFBibTeX XMLCite \textit{J. Julve} and \textit{A. Tiemblo}, Int. J. Geom. Methods Mod. Phys. 8, No. 2, 381--393 (2011; Zbl 1216.83029) Full Text: DOI arXiv
Lv, Na; Mei, Jianqin; Guo, Qilong; Zhang, Hongqing Lie symmetries of two \((2+1)\)-dimensional differential-difference equations by geometric approach. (English) Zbl 1211.35264 Int. J. Geom. Methods Mod. Phys. 8, No. 1, 79-85 (2011). MSC: 35R10 37K05 37K30 35A30 PDFBibTeX XMLCite \textit{N. Lv} et al., Int. J. Geom. Methods Mod. Phys. 8, No. 1, 79--85 (2011; Zbl 1211.35264) Full Text: DOI
Eshaghi Gordji, M.; Ghobadipour, N. Stability of \((\alpha,\beta,\gamma)\)-derivatives on Lie \(C^*\)-algebras. (English) Zbl 1217.39034 Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1093-1102 (2010). Reviewer: Camillo Trapani (Palermo) MSC: 39B82 39B52 46K70 46L57 17B40 17B60 PDFBibTeX XMLCite \textit{M. Eshaghi Gordji} and \textit{N. Ghobadipour}, Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1093--1102 (2010; Zbl 1217.39034) Full Text: DOI arXiv
da Rocha, Roldão; Bernardini, Alex E.; Vaz, Jayme jun. \(\kappa \)-deformed Poincaré algebras and quantum Clifford-Hopf algebras. (English) Zbl 1201.83026 Int. J. Geom. Methods Mod. Phys. 7, No. 5, 821-836 (2010). MSC: 83C47 83A05 15A66 16T05 17B45 81T20 81T40 PDFBibTeX XMLCite \textit{R. da Rocha} et al., Int. J. Geom. Methods Mod. Phys. 7, No. 5, 821--836 (2010; Zbl 1201.83026) Full Text: DOI arXiv
Canarutto, Daniel Hermitian vector fields and covariant quantum mechanics of a spin particle. (English) Zbl 1209.81138 Int. J. Geom. Methods Mod. Phys. 7, No. 4, 599-623 (2010). MSC: 81S10 17B66 PDFBibTeX XMLCite \textit{D. Canarutto}, Int. J. Geom. Methods Mod. Phys. 7, No. 4, 599--623 (2010; Zbl 1209.81138) Full Text: DOI arXiv
Wang, Yan; Hou, Dongping; Bai, Chengming Operator forms of the classical Yang-Baxter equation in Lie superalgebras. (English) Zbl 1201.17018 Int. J. Geom. Methods Mod. Phys. 7, No. 4, 583-597 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B81 16T25 17B60 81R05 PDFBibTeX XMLCite \textit{Y. Wang} et al., Int. J. Geom. Methods Mod. Phys. 7, No. 4, 583--597 (2010; Zbl 1201.17018) Full Text: DOI
Salom, Igor; Šijački, Djordje Generalization of the Gell-Mann formula for \(\text{sl}(5,\mathbb R)\) and \(\text{su}(5)\) algebras. (English) Zbl 1226.17005 Int. J. Geom. Methods Mod. Phys. 7, No. 3, 455-470 (2010). MSC: 17B05 17B81 81R10 PDFBibTeX XMLCite \textit{I. Salom} and \textit{D. Šijački}, Int. J. Geom. Methods Mod. Phys. 7, No. 3, 455--470 (2010; Zbl 1226.17005) Full Text: DOI arXiv