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
Rosati, Giacomo The Duflo non-commutative Fourier transform for the Lorentz group. (English) Zbl 07818854 Int. J. Geom. Methods Mod. Phys. 17, Suppl. 1, Article ID 2040011, 8 p. (2020). MSC: 16T05 17B37 81R60 81T75 22E43 PDFBibTeX XMLCite \textit{G. Rosati}, Int. J. Geom. Methods Mod. Phys. 17, Article ID 2040011, 8 p. (2020; Zbl 07818854) Full Text: DOI
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
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
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz On the concept of a filtered bundle. (English) Zbl 1390.58002 Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1850013, 34 p. (2018). Reviewer: Derek J. Jung (Urbana) MSC: 58A20 55R10 16W70 13F20 PDFBibTeX XMLCite \textit{A. J. Bruce} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 1, Article ID 1850013, 34 p. (2018; Zbl 1390.58002) Full Text: DOI arXiv
Fang, Xiao-Li; Kim, Tae-Hwa; Zhang, Xiao-Hui Symmetry and pseudosymmetry of \(v\)-Yetter-Drinfeld categories for Hom-Hopf algebras. (English) Zbl 1383.16032 Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750129, 27 p. (2017). MSC: 16T05 16T15 PDFBibTeX XMLCite \textit{X.-L. Fang} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750129, 27 p. (2017; Zbl 1383.16032) Full Text: DOI
Aschieri, Paolo Deformation quantization of principal bundles. (English) Zbl 1364.53090 Int. J. Geom. Methods Mod. Phys. 13, No. 8, Article ID 1630010, 23 p. (2016). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 16T05 16T15 81R50 81R60 PDFBibTeX XMLCite \textit{P. Aschieri}, Int. J. Geom. Methods Mod. Phys. 13, No. 8, Article ID 1630010, 23 p. (2016; Zbl 1364.53090) Full Text: DOI arXiv
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
Gogberashvili, Merab Octonionic geometry and conformal transformations. (English) Zbl 1343.53024 Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650092, 6 p. (2016). MSC: 53B50 81R20 81V25 16H05 PDFBibTeX XMLCite \textit{M. Gogberashvili}, Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650092, 6 p. (2016; Zbl 1343.53024) Full Text: DOI arXiv
Bekar, Murat; Yayli, Yusuf Semi-Euclidean quasi-elliptic planar motion. (English) Zbl 1343.53012 Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650089, 11 p. (2016). MSC: 53A17 53A35 16H05 PDFBibTeX XMLCite \textit{M. Bekar} and \textit{Y. Yayli}, Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650089, 11 p. (2016; Zbl 1343.53012) Full Text: DOI
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
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
Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir Parameter-dependent associative Yang-Baxter equations and Poisson brackets. (English) Zbl 1314.16024 Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460036, 18 p. (2014). Reviewer: V. Gorbatsevich (Moskva) MSC: 16T25 17B63 PDFBibTeX XMLCite \textit{A. Odesskii} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460036, 18 p. (2014; Zbl 1314.16024) Full Text: DOI arXiv
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
Dabrowski, Ludwik; Sitarz, Andrzej; Zucca, Alessandro Dirac operators on noncommutative principal circle bundles. (English) Zbl 1284.58015 Int. J. Geom. Methods Mod. Phys. 11, No. 1, Article ID 1450012, 29 p. (2014). MSC: 58J42 55R10 16T05 PDFBibTeX XMLCite \textit{L. Dabrowski} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 1, Article ID 1450012, 29 p. (2014; Zbl 1284.58015) Full Text: DOI arXiv
Dehdashti, Sh.; Mahdifar, A.; Roknizadeh, R. Coherent state of \(\alpha\)-deformed Weyl-Heisenberg algebra. (English) Zbl 1269.81063 Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350014, 18 p. (2013). MSC: 81R15 34B20 35R03 81R30 16S80 PDFBibTeX XMLCite \textit{Sh. Dehdashti} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350014, 18 p. (2013; Zbl 1269.81063) Full Text: DOI
Agarwala, Susama Geometrically relating momentum cut-off and dimensional regularization. (English) Zbl 1262.81087 Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1250081, 24 p. (2013). MSC: 81T10 81T18 16T05 PDFBibTeX XMLCite \textit{S. Agarwala}, Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1250081, 24 p. (2013; Zbl 1262.81087) Full Text: DOI arXiv
Belhaj, Adil; Diaz, Pablo; Del Moral, Maria Pilar Garcia; Segui, Antonio On Chern-Simons quivers and toric geometry. (English) Zbl 1253.81092 Int. J. Geom. Methods Mod. Phys. 9, No. 7, Paper No. 1250050, 13 p. (2012). MSC: 81T13 14J45 14M25 16G20 PDFBibTeX XMLCite \textit{A. Belhaj} et al., Int. J. Geom. Methods Mod. Phys. 9, No. 7, Paper No. 1250050, 13 p. (2012; Zbl 1253.81092) Full Text: DOI arXiv
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
Kerner, Richard; Suzuki, Osamu Internal symmetry groups of cubic algebras. (English) Zbl 1264.81225 Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261007, 10 p. (2012). MSC: 81Q60 81T75 81T05 16W50 17A40 46L85 PDFBibTeX XMLCite \textit{R. Kerner} and \textit{O. Suzuki}, Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261007, 10 p. (2012; Zbl 1264.81225) Full Text: DOI
Daszkiewicz, Marcin Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries. (English) Zbl 1277.81068 Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261003, 9 p. (2012). MSC: 81R50 16T05 PDFBibTeX XMLCite \textit{M. Daszkiewicz}, Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261003, 9 p. (2012; Zbl 1277.81068) 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
Aluffi, Paolo; Marcolli, Matilde Algebro-geometric Feynman rules. (English) Zbl 1225.81101 Int. J. Geom. Methods Mod. Phys. 8, No. 1, 203-237 (2011). Reviewer: Stefan Weinzierl (Mainz) MSC: 81T18 81Q30 58D30 18F30 13D15 16S34 PDFBibTeX XMLCite \textit{P. Aluffi} and \textit{M. Marcolli}, Int. J. Geom. Methods Mod. Phys. 8, No. 1, 203--237 (2011; Zbl 1225.81101) 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
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
Shojaei-Fard, Ali From Dyson-Schwinger equations to the Riemann-Hilbert correspondence. (English) Zbl 1194.81167 Int. J. Geom. Methods Mod. Phys. 7, No. 4, 519-538 (2010). MSC: 81T16 57T05 16T05 81T15 81V10 PDFBibTeX XMLCite \textit{A. Shojaei-Fard}, Int. J. Geom. Methods Mod. Phys. 7, No. 4, 519--538 (2010; Zbl 1194.81167) Full Text: DOI
Berger, Roland Combinatorics and \(N\)-Koszul algebras. (English) Zbl 1183.16022 Int. J. Geom. Methods Mod. Phys. 5, No. 8, 1205-1214 (2008). MSC: 16S37 05E15 16T15 81R60 PDFBibTeX XMLCite \textit{R. Berger}, Int. J. Geom. Methods Mod. Phys. 5, No. 8, 1205--1214 (2008; Zbl 1183.16022) Full Text: DOI arXiv
Chatterjee, Saikat; Lahiri, Amitabha; Sengupta, Ambar N. Negative forms and path space forms. (English) Zbl 1141.81323 Int. J. Geom. Methods Mod. Phys. 5, No. 4, 573-586 (2008). MSC: 81T13 58Z05 16E45 PDFBibTeX XMLCite \textit{S. Chatterjee} et al., Int. J. Geom. Methods Mod. Phys. 5, No. 4, 573--586 (2008; Zbl 1141.81323) Full Text: DOI arXiv
Sitarz, Andrzej On matrix type corings, algebra coverings and Čech cohomology. (English) Zbl 1171.16306 Int. J. Geom. Methods Mod. Phys. 4, No. 7, 1099-1105 (2007). MSC: 16W30 16E40 PDFBibTeX XMLCite \textit{A. Sitarz}, Int. J. Geom. Methods Mod. Phys. 4, No. 7, 1099--1105 (2007; Zbl 1171.16306) Full Text: DOI arXiv
Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M. Hopf algebras in dynamical systems theory. (English) Zbl 1178.37023 Int. J. Geom. Methods Mod. Phys. 4, No. 4, 577-646 (2007). Reviewer: Eugene Kryachko (Liège) MSC: 37C10 16T05 34M50 37B55 17B81 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., Int. J. Geom. Methods Mod. Phys. 4, No. 4, 577--646 (2007; Zbl 1178.37023) Full Text: DOI arXiv
Ciupală, Cătălin 2-\(\rho\)-derivations on a \(\rho\)-algebra and applications to the quaternionic algebra. (English) Zbl 1138.58303 Int. J. Geom. Methods Mod. Phys. 4, No. 3, 457-469 (2007). MSC: 58B34 81R60 16W25 81T75 PDFBibTeX XMLCite \textit{C. Ciupală}, Int. J. Geom. Methods Mod. Phys. 4, No. 3, 457--469 (2007; Zbl 1138.58303) Full Text: DOI
Özer, H. T. On the Hopf structure of \(W_{2}\)-algebra and \(n = 1\) superconformal algebra in the OPE language. (English) Zbl 1114.81046 Int. J. Geom. Methods Mod. Phys. 3, No. 7, 1313-1321 (2006). MSC: 81R12 81R05 16W30 PDFBibTeX XMLCite \textit{H. T. Özer}, Int. J. Geom. Methods Mod. Phys. 3, No. 7, 1313--1321 (2006; Zbl 1114.81046) Full Text: DOI arXiv
Waldmann, Stefan The covariant Picard groupoid in differential geometry. (English) Zbl 1135.53061 Int. J. Geom. Methods Mod. Phys. 3, No. 3, 641-654 (2006). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 16D90 PDFBibTeX XMLCite \textit{S. Waldmann}, Int. J. Geom. Methods Mod. Phys. 3, No. 3, 641--654 (2006; Zbl 1135.53061) Full Text: DOI arXiv
Fujii, Kazuyuki Standard and non-standard quantum models: a non-commutative version of the classical system of \(\text{SU}(2)\) and \(\text{SU}(1,1)\) arising form quantum optics. (English) Zbl 1082.81051 Int. J. Geom. Methods Mod. Phys. 2, No. 5, 783-821 (2005). MSC: 81R60 81V80 81Q70 16W30 81V22 PDFBibTeX XMLCite \textit{K. Fujii}, Int. J. Geom. Methods Mod. Phys. 2, No. 5, 783--821 (2005; Zbl 1082.81051) Full Text: DOI arXiv
Brzeziński, Tomasz; Wrightson, Adam P. Complete coverings and Galois corings. (English) Zbl 1080.16038 Int. J. Geom. Methods Mod. Phys. 2, No. 5, 751-757 (2005). MSC: 16W30 81R50 PDFBibTeX XMLCite \textit{T. Brzeziński} and \textit{A. P. Wrightson}, Int. J. Geom. Methods Mod. Phys. 2, No. 5, 751--757 (2005; Zbl 1080.16038) Full Text: DOI arXiv
Coquereaux, R.; García, A. O. On bialgebras associated with paths and essential paths on ADE graphs. (English) Zbl 1102.81049 Int. J. Geom. Methods Mod. Phys. 2, No. 3, 441-466 (2005). MSC: 81R50 81T40 16W30 05C05 PDFBibTeX XMLCite \textit{R. Coquereaux} and \textit{A. O. García}, Int. J. Geom. Methods Mod. Phys. 2, No. 3, 441--466 (2005; Zbl 1102.81049) Full Text: DOI arXiv
Mozrzymas, Marek Wigner-Eckart theorem for tensor operators of Hopf algebras. (English) Zbl 1075.16018 Int. J. Geom. Methods Mod. Phys. 2, No. 3, 393-408 (2005). MSC: 16W30 81R50 17B37 PDFBibTeX XMLCite \textit{M. Mozrzymas}, Int. J. Geom. Methods Mod. Phys. 2, No. 3, 393--408 (2005; Zbl 1075.16018) Full Text: DOI arXiv
Beggs, E. J.; Brzeziński, Tomasz The van Est spectral sequence for Hopf algebras. (English) Zbl 1087.16024 Int. J. Geom. Methods Mod. Phys. 1, No. 1-2, 33-48 (2004). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 16W30 16E40 17B56 46L87 58A12 PDFBibTeX XMLCite \textit{E. J. Beggs} and \textit{T. Brzeziński}, Int. J. Geom. Methods Mod. Phys. 1, No. 1--2, 33--48 (2004; Zbl 1087.16024) Full Text: DOI arXiv