Mudrov, Andrey Shapovalov elements of classical and quantum groups. (English) Zbl 07821456 J. Pure Appl. Algebra 228, No. 7, Article ID 107634, 14 p. (2024). MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{A. Mudrov}, J. Pure Appl. Algebra 228, No. 7, Article ID 107634, 14 p. (2024; Zbl 07821456) Full Text: DOI arXiv
McCarthy, J. P. A state-space approach to quantum permutations. (English) Zbl 1509.46045 Expo. Math. 40, No. 3, 628-664 (2022). Reviewer: Uwe Franz (Besançon) MSC: 46L67 17B37 20P05 20G42 81R50 PDFBibTeX XMLCite \textit{J. P. McCarthy}, Expo. Math. 40, No. 3, 628--664 (2022; Zbl 1509.46045) Full Text: DOI arXiv
Elduque, Alberto; Kochetov, Mikhail; Rodrigo-Escudero, Adrián Gradings on associative algebras with involution and real forms of classical simple Lie algebras. (English) Zbl 1510.17048 J. Algebra 590, 61-138 (2022). MSC: 17B70 16W50 16W10 PDFBibTeX XMLCite \textit{A. Elduque} et al., J. Algebra 590, 61--138 (2022; Zbl 1510.17048) Full Text: DOI arXiv
Cantuba, Rafael Reno S. A Casimir element inexpressible as a Lie polynomial. (English) Zbl 1504.17018 Int. Electron. J. Algebra 30, 1-15 (2021). MSC: 17B37 17B60 16S15 PDFBibTeX XMLCite \textit{R. R. S. Cantuba}, Int. Electron. J. Algebra 30, 1--15 (2021; Zbl 1504.17018) Full Text: DOI arXiv
Alev, Jacques; Dumas, François Homogeneous localizations of some quantum enveloping superalgebras. (English) Zbl 1470.17008 J. Algebra Appl. 20, No. 1, Article ID 2140005, 25 p. (2021). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B35 17B70 17B20 16S85 PDFBibTeX XMLCite \textit{J. Alev} and \textit{F. Dumas}, J. Algebra Appl. 20, No. 1, Article ID 2140005, 25 p. (2021; Zbl 1470.17008) Full Text: DOI
Bisbo, Asmus K.; De Bie, Hendrik; Van der Jeugt, Joris Representations of the Lie superalgebra \(\mathfrak{osp}(1|2n)\) with polynomial bases. (English) Zbl 1489.17008 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 031, 27 p. (2021). Reviewer: Allan Berele (Chicago) MSC: 17B10 05E10 81R05 15A66 PDFBibTeX XMLCite \textit{A. K. Bisbo} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 031, 27 p. (2021; Zbl 1489.17008) Full Text: DOI arXiv
Barreiro, Elisabete; Calderón, A. J.; Navarro, Rosa M.; Sánchez, José M. On the structure of graded Lie algebras of order \(3\). (English) Zbl 1510.17046 Colloq. Math. 162, No. 2, 245-262 (2020). MSC: 17B70 17B65 17B05 PDFBibTeX XMLCite \textit{E. Barreiro} et al., Colloq. Math. 162, No. 2, 245--262 (2020; Zbl 1510.17046) Full Text: DOI
Wenzl, Hans On representations of \(U'_q\mathfrak{so}_n\). (English) Zbl 1446.17028 Trans. Am. Math. Soc. 373, No. 5, 3295-3322 (2020). Reviewer: Yiqiang Li (Buffalo) MSC: 17B37 PDFBibTeX XMLCite \textit{H. Wenzl}, Trans. Am. Math. Soc. 373, No. 5, 3295--3322 (2020; Zbl 1446.17028) Full Text: DOI arXiv
Frappat, Luc; Gaboriaud, Julien; Ragoucy, Eric; Vinet, Luc The \(q\)-Higgs and Askey-Wilson algebras. (English) Zbl 1430.81042 Nucl. Phys., B 944, Article ID 114632, 13 p. (2019). MSC: 81R50 17B37 17B35 33D45 81Q35 81R05 PDFBibTeX XMLCite \textit{L. Frappat} et al., Nucl. Phys., B 944, Article ID 114632, 13 p. (2019; Zbl 1430.81042) 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
Gordienko, A. S. On \(H\)-simple not necessarily associative algebras. (English) Zbl 1435.17001 J. Algebra Appl. 18, No. 9, Article ID 1950162, 20 p. (2019). MSC: 17A30 16R10 16R50 16T05 17A36 17A50 18A40 20C30 PDFBibTeX XMLCite \textit{A. S. Gordienko}, J. Algebra Appl. 18, No. 9, Article ID 1950162, 20 p. (2019; Zbl 1435.17001) Full Text: DOI arXiv
Calderón Martín, Antonio J.; Navarro Izquierdo, Francisco J. Techniques of graphs in the study of the structure of graded modules. (English) Zbl 1414.05308 Discrete Appl. Math. 263, 79-87 (2019). MSC: 05E15 05C25 17C70 17C20 17C55 PDFBibTeX XMLCite \textit{A. J. Calderón Martín} and \textit{F. J. Navarro Izquierdo}, Discrete Appl. Math. 263, 79--87 (2019; Zbl 1414.05308) Full Text: DOI
Hornhardt, Caio De Naday; Dos Santos, Helen Samara; Kochetov, Mikhail Group gradings on the superalgebras \(M(m,n)\), \(A(m,n)\) and \(P(n)\). (English) Zbl 1441.17023 J. Pure Appl. Algebra 223, No. 4, 1590-1616 (2019). Reviewer: Candido Martín González (Málaga) MSC: 17B70 16W50 16W55 17A70 PDFBibTeX XMLCite \textit{C. De N. Hornhardt} et al., J. Pure Appl. Algebra 223, No. 4, 1590--1616 (2019; Zbl 1441.17023) Full Text: DOI arXiv
Draper, Cristina; Guido, Valerio Gradings on the real form \(\mathfrak{e}_{6, -14}\). (English) Zbl 1459.17016 J. Math. Phys. 59, No. 10, 101702, 20 p. (2018). MSC: 17B10 17B25 17B70 PDFBibTeX XMLCite \textit{C. Draper} and \textit{V. Guido}, J. Math. Phys. 59, No. 10, 101702, 20 p. (2018; Zbl 1459.17016) Full Text: DOI arXiv
Córdova-Martínez, Alejandra S.; Elduque, Alberto Gradings on semisimple algebras. (English) Zbl 1453.17018 Linear Algebra Appl. 559, 145-171 (2018). MSC: 17B70 16W50 PDFBibTeX XMLCite \textit{A. S. Córdova-Martínez} and \textit{A. Elduque}, Linear Algebra Appl. 559, 145--171 (2018; Zbl 1453.17018) Full Text: DOI arXiv
Elduque, Alberto; Kochetov, Mikhail Gradings on the simple real Lie algebras of types \(G_2\) and \(D_4\). (English) Zbl 1457.17024 J. Algebra 512, 382-426 (2018). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 17B70 17B25 17C40 17A75 PDFBibTeX XMLCite \textit{A. Elduque} and \textit{M. Kochetov}, J. Algebra 512, 382--426 (2018; Zbl 1457.17024) Full Text: DOI arXiv
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián Gradings on classical central simple real Lie algebras. (English) Zbl 1448.17031 J. Algebra 506, 1-42 (2018). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 17B70 PDFBibTeX XMLCite \textit{Y. Bahturin} et al., J. Algebra 506, 1--42 (2018; Zbl 1448.17031) Full Text: DOI arXiv
Calderón, Antonio J.; Draper, Cristina; Martín, Cándido; Ndoye, Daouda Orthogonal-gradings on \(H^*\)-algebras. (English) Zbl 1417.16037 Mediterr. J. Math. 15, No. 1, Paper No. 16, 18 p. (2018). MSC: 16W50 46K70 17D05 PDFBibTeX XMLCite \textit{A. J. Calderón} et al., Mediterr. J. Math. 15, No. 1, Paper No. 16, 18 p. (2018; Zbl 1417.16037) Full Text: DOI
Havlíček, Miloslav; Kotrbatý, Jan; Moylan, Patrick; Pošta, Severin Construction of representations of Poincaré group using Lie fields. (English) Zbl 1395.22012 J. Math. Phys. 59, No. 2, 021702, 23 p. (2018). Reviewer: Vesselin Drensky (Sofia) MSC: 22E70 22E43 20E22 20G20 20G45 17B35 81R05 PDFBibTeX XMLCite \textit{M. Havlíček} et al., J. Math. Phys. 59, No. 2, 021702, 23 p. (2018; Zbl 1395.22012) Full Text: DOI
Calderón Martín, Antonio Jesús; Martín González, Cándido; Ndoye, Daouda On groupoid gradings. (English) Zbl 1406.16040 J. Geom. Phys. 123, 61-70 (2018). Reviewer: Cristina Draper Fontanals (Malaga) MSC: 16W50 18B40 17B70 PDFBibTeX XMLCite \textit{A. J. Calderón Martín} et al., J. Geom. Phys. 123, 61--70 (2018; Zbl 1406.16040) Full Text: DOI
Calderón Martín, Antonio J. Extended magmas and their applications. (English) Zbl 1404.20050 J. Algebra Appl. 16, No. 8, Article ID 1750150, 11 p. (2017). MSC: 20N02 17A60 17A70 PDFBibTeX XMLCite \textit{A. J. Calderón Martín}, J. Algebra Appl. 16, No. 8, Article ID 1750150, 11 p. (2017; Zbl 1404.20050) Full Text: DOI
Calderón Martín, Antonio J. Graded extended Lie-type algebras. (English) Zbl 1406.17002 Commun. Algebra 45, No. 2, 866-877 (2017). MSC: 17A30 17A32 17B70 17A60 18D50 PDFBibTeX XMLCite \textit{A. J. Calderón Martín}, Commun. Algebra 45, No. 2, 866--877 (2017; Zbl 1406.17002) Full Text: DOI
Draper, Cristina; Elduque, Alberto An overview of fine gradings on simple Lie algebras. (English) Zbl 1390.17038 Note Mat. 36, Suppl. 1, 15-34 (2016). MSC: 17B70 17B40 17B20 17B60 PDFBibTeX XMLCite \textit{C. Draper} and \textit{A. Elduque}, Note Mat. 36, 15--34 (2016; Zbl 1390.17038) Full Text: DOI arXiv
Elduque, Alberto Gradings on algebras over algebraically closed fields. (English) Zbl 1419.17008 Gueye, Cheikh Thiécoumbe (ed.) et al., Non-associative and non-commutative algebra and operator theory. NANCAOT, Dakar, Senegal, May 23–25, 2014: workshop in honor of Professor Amin Kaidi. Cham: Springer. Springer Proc. Math. Stat. 160, 113-121 (2016). MSC: 17A60 14L15 17A36 PDFBibTeX XMLCite \textit{A. Elduque}, Springer Proc. Math. Stat. 160, 113--121 (2016; Zbl 1419.17008) Full Text: DOI arXiv
Schütz, G. M. Duality relations for the periodic ASEP conditioned on a low current. (English) Zbl 1353.82045 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations III. Particle systems and PDEs III, Braga, Portugal, December 2014. Cham: Springer (ISBN 978-3-319-32142-4/hbk; 978-3-319-32144-8/ebook). Springer Proceedings in Mathematics & Statistics 162, 323-350 (2016). MSC: 82C20 37N20 82C41 82C22 81R50 17B37 PDFBibTeX XMLCite \textit{G. M. Schütz}, Springer Proc. Math. Stat. 162, 323--350 (2016; Zbl 1353.82045) Full Text: DOI arXiv
Draper, Cristina; Guido, Valerio Gradings on the real form \(\mathfrak{e}_{6,-26}\). (English) Zbl 1349.81195 J. Math. Phys. 57, No. 10, 101704, 18 p. (2016). MSC: 81V22 81R05 17B70 83E15 17B81 PDFBibTeX XMLCite \textit{C. Draper} and \textit{V. Guido}, J. Math. Phys. 57, No. 10, 101704, 18 p. (2016; Zbl 1349.81195) Full Text: DOI arXiv
Huang, Hau-Wen Center of the universal Askey-Wilson algebra at roots of unity. (English) Zbl 1342.81206 Nucl. Phys., B 909, 260-296 (2016). MSC: 81R50 17B37 33D80 33D45 PDFBibTeX XMLCite \textit{H.-W. Huang}, Nucl. Phys., B 909, 260--296 (2016; Zbl 1342.81206) Full Text: DOI arXiv
Huang, Hau-Wen Finite-dimensional irreducible modules of the universal Askey-Wilson algebra. (English) Zbl 1331.33036 Commun. Math. Phys. 340, No. 3, 959-984 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 06F25 13E15 17B37 20G42 PDFBibTeX XMLCite \textit{H.-W. Huang}, Commun. Math. Phys. 340, No. 3, 959--984 (2015; Zbl 1331.33036) Full Text: DOI arXiv
Belitsky, V.; Schütz, G. M. Self-duality for the two-component asymmetric simple exclusion process. (English) Zbl 1332.82067 J. Math. Phys. 56, No. 8, 083302, 20 p. (2015). Reviewer: Arvind Ayyer (Bangalore) MSC: 82C22 82C31 82C41 81R50 17B37 PDFBibTeX XMLCite \textit{V. Belitsky} and \textit{G. M. Schütz}, J. Math. Phys. 56, No. 8, 083302, 20 p. (2015; Zbl 1332.82067) Full Text: DOI arXiv Link
Ashton, Thomas; Mudrov, Andrey R-matrix and Mickelsson algebras for orthosymplectic quantum groups. (English) Zbl 1322.81055 J. Math. Phys. 56, No. 8, 081701, 8 p. (2015). Reviewer: Ming Ding (Tianjin) MSC: 81R50 17B37 81R05 22E70 PDFBibTeX XMLCite \textit{T. Ashton} and \textit{A. Mudrov}, J. Math. Phys. 56, No. 8, 081701, 8 p. (2015; Zbl 1322.81055) Full Text: DOI arXiv Link
Much, A. Relativistic corrections to the Moyal-Weyl spacetime. (English) Zbl 1310.81096 J. Math. Phys. 56, No. 2, 022301, 15 p. (2015). MSC: 81R50 81T75 17B37 83C65 81T70 PDFBibTeX XMLCite \textit{A. Much}, J. Math. Phys. 56, No. 2, 022301, 15 p. (2015; Zbl 1310.81096) Full Text: DOI arXiv
Calderón Martín, Antonio J.; Sánchez Delgado, José M. On the structure of graded Leibniz algebras. (English) Zbl 1377.17001 Algebra Colloq. 22, No. 1, 83-96 (2015). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 17A32 17A60 17B70 PDFBibTeX XMLCite \textit{A. J. Calderón Martín} and \textit{J. M. Sánchez Delgado}, Algebra Colloq. 22, No. 1, 83--96 (2015; Zbl 1377.17001) Full Text: DOI
Moylan, Patrick Localizations of \(U_q(\mathfrak{sl}(2))\) and \(U_q(\mathfrak{osp}(1|2))\) associated with Euclidean and super Euclidean algebras. (English) Zbl 1375.17011 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the 10th international workshop, LT 10, Varna, Bulgaria, June 17–23, 2013. Tokyo: Springer (ISBN 978-4-431-55284-0/hbk; 978-4-431-55285-7/ebook). Springer Proceedings in Mathematics & Statistics 111, 369-379 (2014). MSC: 17B35 17B37 17B81 PDFBibTeX XMLCite \textit{P. Moylan}, Springer Proc. Math. Stat. 111, 369--379 (2014; Zbl 1375.17011) Full Text: DOI
Aranda Orna, Diego; Draper Fontanals, Cristina; Guido, Valerio Weyl groups of some fine gradings on \(\mathfrak{e}_6\). (English) Zbl 1325.17006 J. Algebra 417, 353-390 (2014). Reviewer: Candido Martín González (Málaga) MSC: 17B25 17B70 PDFBibTeX XMLCite \textit{D. Aranda Orna} et al., J. Algebra 417, 353--390 (2014; Zbl 1325.17006) Full Text: DOI
Calderón Martín, Antonio Jesús; Draper Fontanals, Cristina; Martín González, Cándido; Sánchez Delgado, José María Gradings and symmetries on Heisenberg type algebras. (English) Zbl 1385.17011 Linear Algebra Appl. 458, 463-502 (2014). MSC: 17B70 17B75 17B30 17B40 PDFBibTeX XMLCite \textit{A. J. Calderón Martín} et al., Linear Algebra Appl. 458, 463--502 (2014; Zbl 1385.17011) Full Text: DOI arXiv
Calderón Martín, Antonio J. Lie algebras with a set grading. (English) Zbl 1302.17042 Linear Algebra Appl. 452, 7-20 (2014). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 17B70 17B65 17B05 17B20 PDFBibTeX XMLCite \textit{A. J. Calderón Martín}, Linear Algebra Appl. 452, 7--20 (2014; Zbl 1302.17042) Full Text: DOI
Calderón Martín, Antonio J. On the structure of graded commutative algebras. (English) Zbl 1298.17009 Linear Algebra Appl. 447, 110-118 (2014). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 17A60 17B70 PDFBibTeX XMLCite \textit{A. J. Calderón Martín}, Linear Algebra Appl. 447, 110--118 (2014; Zbl 1298.17009) Full Text: DOI
Hrivnák, Jiří; Novotný, Petr Graded contractions of the Gell-Mann graded \(sl(3,\mathbb{C})\). (English) Zbl 1284.17016 J. Math. Phys. 54, No. 8, 081702, 25 p. (2013). MSC: 17B70 PDFBibTeX XMLCite \textit{J. Hrivnák} and \textit{P. Novotný}, J. Math. Phys. 54, No. 8, 081702, 25 p. (2013; Zbl 1284.17016) Full Text: DOI arXiv
Kochetov, Mikhail; Parsons, Nicholas; Sadov, Sergey Counting fine gradings on matrix algebras and on classical simple Lie algebras. (English) Zbl 1286.17026 Int. J. Algebra Comput. 23, No. 7, 1755-1781 (2013). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B70 16W50 65A05 PDFBibTeX XMLCite \textit{M. Kochetov} et al., Int. J. Algebra Comput. 23, No. 7, 1755--1781 (2013; Zbl 1286.17026) Full Text: DOI arXiv
Calderón Martín, Antonio Jesús On extended graded Poisson algebras. (English) Zbl 1343.17014 Linear Algebra Appl. 439, No. 4, 879-892 (2013). MSC: 17B63 17B70 58A50 PDFBibTeX XMLCite \textit{A. J. Calderón Martín}, Linear Algebra Appl. 439, No. 4, 879--892 (2013; Zbl 1343.17014) Full Text: DOI
Abramsky, Samson Coalgebras, Chu spaces, and representations of physical systems. (English) Zbl 1270.81040 J. Philos. Log. 42, No. 3, 551-574 (2013). MSC: 81P45 81P68 17B62 81P05 PDFBibTeX XMLCite \textit{S. Abramsky}, J. Philos. Log. 42, No. 3, 551--574 (2013; Zbl 1270.81040) Full Text: DOI arXiv
Calderón Martín, Antonio Jesús; Draper Fontanals, Cristina; Martín González, Cándido Gradings on Lie triple systems related to exceptional Lie algebras. (English) Zbl 1365.17001 J. Pure Appl. Algebra 217, No. 4, 672-688 (2013). MSC: 17A40 17B25 PDFBibTeX XMLCite \textit{A. J. Calderón Martín} et al., J. Pure Appl. Algebra 217, No. 4, 672--688 (2013; Zbl 1365.17001) Full Text: DOI
Kanakoglou, Konstantinos Gradings, braidings, representations, paraparticles: some open problems. (English) Zbl 1370.17029 Axioms 1, No. 1, 74-98 (2012). MSC: 17B81 16T05 16W50 81R10 PDFBibTeX XMLCite \textit{K. Kanakoglou}, Axioms 1, No. 1, 74--98 (2012; Zbl 1370.17029) Full Text: DOI arXiv
Calderón Martín, Antonio J.; Sánchez Delgado, José M. On the structure of graded Lie superalgebras. (English) Zbl 1260.17025 Mod. Phys. Lett. A 27, No. 25, Paper No. 1250142, 18 p. (2012). MSC: 17B70 17A70 81R10 PDFBibTeX XMLCite \textit{A. J. Calderón Martín} and \textit{J. M. Sánchez Delgado}, Mod. Phys. Lett. A 27, No. 25, Paper No. 1250142, 18 p. (2012; Zbl 1260.17025) Full Text: DOI
Elduque, Alberto; Kochetov, Mikhail Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra. (English) Zbl 1267.16037 J. Algebra 366, 165-186 (2012). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 16W50 16S50 17D05 17C40 17A35 17B70 PDFBibTeX XMLCite \textit{A. Elduque} and \textit{M. Kochetov}, J. Algebra 366, 165--186 (2012; Zbl 1267.16037) Full Text: DOI arXiv
Zolotykh, A. A.; Zolotykh, P. A. Finite gradings of special linear Lie algebras. (English. Russian original) Zbl 1317.17034 J. Math. Sci., New York 185, No. 2, 282-299 (2012); translation from Fundam. Prikl. Mat. 16, No. 8, 163-187 (2010). MSC: 17B70 PDFBibTeX XMLCite \textit{A. A. Zolotykh} and \textit{P. A. Zolotykh}, J. Math. Sci., New York 185, No. 2, 282--299 (2012; Zbl 1317.17034); translation from Fundam. Prikl. Mat. 16, No. 8, 163--187 (2010) Full Text: DOI
Draper Fontanals, Cristina A non-computational approach to the gradings on \(\mathfrak f_4\). (English) Zbl 1257.17039 Rev. Mat. Iberoam. 28, No. 1, 273-296 (2012). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B70 17B25 PDFBibTeX XMLCite \textit{C. Draper Fontanals}, Rev. Mat. Iberoam. 28, No. 1, 273--296 (2012; Zbl 1257.17039) Full Text: DOI
Havlíček, Miloslav; Pošta, Severin Center of quantum algebra \(U_q^{\prime}(\operatorname{so}_3)\). (English) Zbl 1316.81057 J. Math. Phys. 52, No. 4, 043521, 15 p. (2011). MSC: 81R50 17B37 16U70 PDFBibTeX XMLCite \textit{M. Havlíček} and \textit{S. Pošta}, J. Math. Phys. 52, No. 4, 043521, 15 p. (2011; Zbl 1316.81057) Full Text: DOI
Han, Gang The Weyl group of the fine grading of \(\mathrm{sl}(n,\mathbb{C})\) associated with tensor product of generalized Pauli matrices. (English) Zbl 1316.81045 J. Math. Phys. 52, No. 4, 042109, 18 p. (2011). MSC: 81R05 17B81 PDFBibTeX XMLCite \textit{G. Han}, J. Math. Phys. 52, No. 4, 042109, 18 p. (2011; Zbl 1316.81045) Full Text: DOI arXiv
Ancochea Bermúdez, J. M.; Campoamor-Stursberg, R.; García Vergnolle, L. Classification of Lie algebras with naturally graded quasi-filiform nilradicals. (English) Zbl 1275.17023 J. Geom. Phys. 61, No. 11, 2168-2186 (2011). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 17B30 17B05 PDFBibTeX XMLCite \textit{J. M. Ancochea Bermúdez} et al., J. Geom. Phys. 61, No. 11, 2168--2186 (2011; Zbl 1275.17023) Full Text: DOI
McGraw, Jason Gradings by finite groups of the Witt algebra. (English) Zbl 1260.17026 Commun. Algebra 39, No. 3, 947-954 (2011). Reviewer: Cristina Draper Fontanals (Malaga) MSC: 17B70 17B50 17B40 PDFBibTeX XMLCite \textit{J. McGraw}, Commun. Algebra 39, No. 3, 947--954 (2011; Zbl 1260.17026) Full Text: DOI
Calderón Martín, A. J.; Draper, C.; Martín González, C. Gradings on the real forms of the Albert algebra, of \(\mathfrak{g}_2\), and of \(\mathfrak{f}_4\). (English) Zbl 1310.17004 J. Math. Phys. 51, No. 5, 053516, 21 p. (2010). MSC: 17B25 17B70 PDFBibTeX XMLCite \textit{A. J. Calderón Martín} et al., J. Math. Phys. 51, No. 5, 053516, 21 p. (2010; Zbl 1310.17004) Full Text: DOI
Han, Gang The symmetries of the fine gradings of \(\operatorname{sl}(n_k,\mathbb{C})\) associated with direct product of Pauli groups. (English) Zbl 1309.17007 J. Math. Phys. 51, No. 9, 092104, 15 p. (2010). MSC: 17B20 17B70 17B81 15A66 PDFBibTeX XMLCite \textit{G. Han}, J. Math. Phys. 51, No. 9, 092104, 15 p. (2010; Zbl 1309.17007) Full Text: DOI
Elduque, Alberto Fine gradings on simple classical Lie algebras. (English) Zbl 1213.17030 J. Algebra 324, No. 12, 3532-3571 (2010). Reviewer: Candido Martín González (Málaga) MSC: 17B70 17B60 PDFBibTeX XMLCite \textit{A. Elduque}, J. Algebra 324, No. 12, 3532--3571 (2010; Zbl 1213.17030) Full Text: DOI arXiv
Bahturin, Yuri; Kochetov, Mikhail Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\). (English) Zbl 1229.17031 J. Algebra 324, No. 11, 2971-2989 (2010). Reviewer: Cristina Draper Fontanals (Malaga) MSC: 17B70 17B60 PDFBibTeX XMLCite \textit{Y. Bahturin} and \textit{M. Kochetov}, J. Algebra 324, No. 11, 2971--2989 (2010; Zbl 1229.17031) Full Text: DOI arXiv
Draper Fontanals, Cristina; Martín González, Cándido; Viruel, Antonio Fine gradings on the Lie algebra \(\mathfrak d_4\). (English) Zbl 1229.17032 Forum Math. 22, No. 5, 863-877 (2010). Reviewer: Alberto Elduque (Zaragoza) (MR2719760) MSC: 17B70 17B40 17B20 PDFBibTeX XMLCite \textit{C. Draper Fontanals} et al., Forum Math. 22, No. 5, 863--877 (2010; Zbl 1229.17032) Full Text: DOI
Jordan, David A. Finite-dimensional simple Poisson modules. (English) Zbl 1239.17019 Algebr. Represent. Theory 13, No. 1, 79-101 (2010). Reviewer: Panagiotis Batakidis (Nicosia) MSC: 17B63 16D60 16S80 16W22 PDFBibTeX XMLCite \textit{D. A. Jordan}, Algebr. Represent. Theory 13, No. 1, 79--101 (2010; Zbl 1239.17019) Full Text: DOI arXiv
Calderón Martín, Antonio J. On the structure of graded Lie algebras. (English) Zbl 1275.17043 J. Math. Phys. 50, No. 10, 103513, 8 p. (2009). MSC: 17B70 17B05 17B22 17B65 PDFBibTeX XMLCite \textit{A. J. Calderón Martín}, J. Math. Phys. 50, No. 10, 103513, 8 p. (2009; Zbl 1275.17043) Full Text: DOI
Draper Fontanals, Cristina; Martín González, Cándido Gradings on the Albert algebra and on \(\mathfrak{f}_4\). (English) Zbl 1281.17035 Rev. Mat. Iberoam. 25, No. 3, 841-908 (2009). MSC: 17C40 17B25 17B70 PDFBibTeX XMLCite \textit{C. Draper Fontanals} and \textit{C. Martín González}, Rev. Mat. Iberoam. 25, No. 3, 841--908 (2009; Zbl 1281.17035) Full Text: DOI arXiv Euclid
Elduque, Alberto Gradings on symmetric composition algebras. (English) Zbl 1216.17004 J. Algebra 322, No. 10, 3542-3579 (2009). Reviewer: Candido Martín González (Málaga) MSC: 17A75 17B70 17B25 PDFBibTeX XMLCite \textit{A. Elduque}, J. Algebra 322, No. 10, 3542--3579 (2009; Zbl 1216.17004) Full Text: DOI arXiv
Kochetov, Mikhail Gradings on finite-dimensional simple Lie algebras. (English) Zbl 1230.17025 Acta Appl. Math. 108, No. 1, 101-127 (2009). MSC: 17B70 17B20 17B25 17B50 17B60 PDFBibTeX XMLCite \textit{M. Kochetov}, Acta Appl. Math. 108, No. 1, 101--127 (2009; Zbl 1230.17025) Full Text: DOI
Jordan, David A.; Sasom, Nongkhran Reversible skew Laurent polynomial rings and deformations of Poisson automorphisms. (English) Zbl 1188.16022 J. Algebra Appl. 8, No. 5, 733-757 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S36 16W20 17B63 16S80 16W22 16W10 PDFBibTeX XMLCite \textit{D. A. Jordan} and \textit{N. Sasom}, J. Algebra Appl. 8, No. 5, 733--757 (2009; Zbl 1188.16022) Full Text: DOI arXiv
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\). (English) Zbl 1184.17004 Commun. Math. Phys. 281, No. 3, 805-826 (2008). MSC: 17B10 81R10 81S05 PDFBibTeX XMLCite \textit{S. Lievens} et al., Commun. Math. Phys. 281, No. 3, 805--826 (2008; Zbl 1184.17004) Full Text: DOI arXiv
Draper, Cristina Models of the Lie algebra \(F_4\). (English) Zbl 1140.17006 Linear Algebra Appl. 428, No. 11-12, 2813-2839 (2008). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B25 17B70 PDFBibTeX XMLCite \textit{C. Draper}, Linear Algebra Appl. 428, No. 11--12, 2813--2839 (2008; Zbl 1140.17006) Full Text: DOI
Patera, Jiří; Pelantová, Edita; Svobodová, Milena Fine group gradings of the real forms of \(\mathrm{sl}(4, \mathbb C)\), \(\mathrm{sp}(4, \mathbb C)\), and \(\mathrm{o}(4, \mathbb C)\). (English) Zbl 1152.81578 J. Math. Phys. 48, No. 9, 093503, 25 p. (2007). MSC: 17B70 81R05 PDFBibTeX XMLCite \textit{J. Patera} et al., J. Math. Phys. 48, No. 9, 093503, 25 p. (2007; Zbl 1152.81578) Full Text: DOI arXiv
Nesterenko, Maryna; Popovych, Roman Contractions of low-dimensional Lie algebras. (English) Zbl 1112.17007 J. Math. Phys. 47, No. 12, 123515, 45 p. (2006). MSC: 17B05 81R05 PDFBibTeX XMLCite \textit{M. Nesterenko} and \textit{R. Popovych}, J. Math. Phys. 47, No. 12, 123515, 45 p. (2006; Zbl 1112.17007) Full Text: DOI arXiv
Pelantová, Edita; Svobodová, Milena; Tremblay, Sébastien Fine grading of \(\mathrm{sl}(p^{2},\mathbb C)\) generated by tensor product of generalized Pauli matrices and its symmetries. (English) Zbl 1111.81080 J. Math. Phys. 47, No. 1, 013512, 18 p. (2006). MSC: 81R05 17B70 PDFBibTeX XMLCite \textit{E. Pelantová} et al., J. Math. Phys. 47, No. 1, 013512, 18 p. (2006; Zbl 1111.81080) Full Text: DOI arXiv
Hrivnák, J.; Novotný, P.; Patera, J.; Tolář, J. Graded contractions of the Pauli graded \(\text{sl}(3,\mathbb C)\). (English) Zbl 1161.17305 Linear Algebra Appl. 418, No. 2-3, 498-550 (2006). MSC: 17B20 22E70 81R05 PDFBibTeX XMLCite \textit{J. Hrivnák} et al., Linear Algebra Appl. 418, No. 2--3, 498--550 (2006; Zbl 1161.17305) Full Text: DOI arXiv
Draper Fontanals, Cristina; Martín González, Cándido Gradings on \(\mathfrak {g}_2\). (English) Zbl 1146.17027 Linear Algebra Appl. 418, No. 1, 85-111 (2006). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 17B70 17B25 17B40 PDFBibTeX XMLCite \textit{C. Draper Fontanals} and \textit{C. Martín González}, Linear Algebra Appl. 418, No. 1, 85--111 (2006; Zbl 1146.17027) Full Text: DOI
Ito, Tatsuro; Terwilliger, Paul; Weng, Chih-Wen The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation. (English) Zbl 1090.17004 J. Algebra 298, No. 1, 284-301 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 PDFBibTeX XMLCite \textit{T. Ito} et al., J. Algebra 298, No. 1, 284--301 (2006; Zbl 1090.17004) Full Text: DOI arXiv
Ciccoli, Nicola; Gavarini, Fabio A quantum duality principle for coisotropic subgroups and Poisson quotients. (English) Zbl 1137.58003 Adv. Math. 199, No. 1, 104-135 (2006). Reviewer: Giovanna Carnovale (Padova) MSC: 58B32 17B37 81R50 16W30 20G42 PDFBibTeX XMLCite \textit{N. Ciccoli} and \textit{F. Gavarini}, Adv. Math. 199, No. 1, 104--135 (2006; Zbl 1137.58003) Full Text: DOI arXiv
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V. Gradings on simple Jordan and Lie algebras. (English) Zbl 1066.17018 J. Algebra 283, No. 2, 849-868 (2005). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B70 16W50 17C50 17C70 PDFBibTeX XMLCite \textit{Y. A. Bahturin} et al., J. Algebra 283, No. 2, 849--868 (2005; Zbl 1066.17018) Full Text: DOI
Havlíček, Miloslav; Patera, Jiří; Pelantov’, Edita; Tolar, Jiří On Pauli graded contractions of \(sl(3,\mathbb{C})\). (English) Zbl 1362.17028 J. Nonlinear Math. Phys. 11, Suppl. 1, 37-42 (2004). MSC: 17B45 17B70 PDFBibTeX XMLCite \textit{M. Havlíček} et al., J. Nonlinear Math. Phys. 11, 37--42 (2004; Zbl 1362.17028) Full Text: DOI
Patera, Jiří; Pelantová, Edita; Svobodová, Milena Fine grading of \(\text{o}(4,{\mathbb C})\). (English) Zbl 1071.17023 J. Math. Phys. 45, No. 6, 2188-2198 (2004). MSC: 17B70 PDFBibTeX XMLCite \textit{J. Patera} et al., J. Math. Phys. 45, No. 6, 2188--2198 (2004; Zbl 1071.17023) Full Text: DOI
Molev, A. I.; Ragoucy, E.; Sorba, P. Coideal subalgebras in quantum affine algebras. (English) Zbl 1129.17302 Rev. Math. Phys. 15, No. 8, 789-822 (2003). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{A. I. Molev} et al., Rev. Math. Phys. 15, No. 8, 789--822 (2003; Zbl 1129.17302) Full Text: DOI arXiv
Patera, Jiří; Pelantová, Edita; Svobodová, Milena The eight fine gradings of \(\text{sl}(4,\mathbb C)\) and \(\text{o}(6,\mathbb C)\). (English) Zbl 1060.17016 J. Math. Phys. 43, No. 12, 6353-6378 (2002). MSC: 17B70 81R05 PDFBibTeX XMLCite \textit{J. Patera} et al., J. Math. Phys. 43, No. 12, 6353--6378 (2002; Zbl 1060.17016) Full Text: DOI
Havlíček, Miloslav; Patera, Jiří; Pelantová, Edita; Tolar, Jiří Automorphisms of the fine grading of \(\text{sl}(n,\mathbb C)\) associated with the generalized Pauli matrices. (English) Zbl 1059.17018 J. Math. Phys. 43, No. 2, 1083-1094 (2002). MSC: 17B70 17B40 PDFBibTeX XMLCite \textit{M. Havlíček} et al., J. Math. Phys. 43, No. 2, 1083--1094 (2002; Zbl 1059.17018) Full Text: DOI arXiv
Patera, Jiří; Pelantová, Edita; Svobodová, Milena Fine gradings of \(\text{o}(5,\mathbb C)\), \(\text{sp}(4,\mathbb C)\) and of their real forms. (English) Zbl 1032.17050 J. Math. Phys. 42, No. 8, 3839-3853 (2001). MSC: 17B70 17B20 PDFBibTeX XMLCite \textit{J. Patera} et al., J. Math. Phys. 42, No. 8, 3839--3853 (2001; Zbl 1032.17050) Full Text: DOI
Havlíček, M.; Klimyk, A. U.; Pošta, S. Representations of the \(q\)-deformed algebra \(U_q'(\text{so}_4)\). (English) Zbl 1017.81025 J. Math. Phys. 42, No. 11, 5389-5416 (2001). MSC: 81R50 81R15 17B37 83C45 PDFBibTeX XMLCite \textit{M. Havlíček} et al., J. Math. Phys. 42, No. 11, 5389--5416 (2001; Zbl 1017.81025) Full Text: DOI arXiv
Havlíček, M.; Pošta, S. On the classification of irreducible finite-dimensional representations of \(U_q'(\text{so}_3)\) algebra. (English) Zbl 1032.17022 J. Math. Phys. 42, No. 1, 472-500 (2001). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{M. Havlíček} and \textit{S. Pošta}, J. Math. Phys. 42, No. 1, 472--500 (2001; Zbl 1032.17022) Full Text: DOI
Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A. Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. (English. Russian original) Zbl 1112.17301 Theor. Math. Phys. 124, No. 2, 1048-1058 (2000); translation from Teor. Mat. Fiz. 124, No, 2, 227-238 (2000). MSC: 17B66 81R05 PDFBibTeX XMLCite \textit{Č. Burdík} et al., Theor. Math. Phys. 124, No. 2, 1048--1058 (2000; Zbl 1112.17301); translation from Teor. Mat. Fiz. 124, No, 2, 227--238 (2000) Full Text: DOI
Havlíček, Miloslav; Patera, Jiří; Pelantová, Edita On Lie gradings. III: Gradings of the real forms of classical Lie algebras. (English) Zbl 1017.17027 Linear Algebra Appl. 314, No. 1-3, 1-47 (2000). Reviewer: Evelyn Weimar-Woods (Berlin) MSC: 17B70 17B05 PDFBibTeX XMLCite \textit{M. Havlíček} et al., Linear Algebra Appl. 314, No. 1--3, 1--47 (2000; Zbl 1017.17027) Full Text: DOI
Havlíček, M.; Pošta, S.; Winternitz, P. Nonlinear superposition formulas based on imprimitive group action. (English) Zbl 0968.34006 J. Math. Phys. 40, No. 6, 3104-3122 (1999). Reviewer: G.Czichowski (Greifswald) MSC: 34A26 17B66 PDFBibTeX XMLCite \textit{M. Havlíček} et al., J. Math. Phys. 40, No. 6, 3104--3122 (1999; Zbl 0968.34006) Full Text: DOI Link
Havlíček, M.; Klimyk, A. U.; Pošta, S. Representations of the cyclically symmetric \(q\)-deformed algebra \(\text{so}_q(3)\). (English) Zbl 0959.17015 J. Math. Phys. 40, No. 4, 2135-2161 (1999). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{M. Havlíček} et al., J. Math. Phys. 40, No. 4, 2135--2161 (1999; Zbl 0959.17015) Full Text: DOI arXiv
Buchwalter, S. A.; Moylan, P. Representations of the Poincaré Lie algebra from unitary representations of SO(1,4). (English) Zbl 1042.17503 J. Math. Phys. 39, No. 4, 2264-2272 (1998). MSC: 17B10 81R05 PDFBibTeX XMLCite \textit{S. A. Buchwalter} and \textit{P. Moylan}, J. Math. Phys. 39, No. 4, 2264--2272 (1998; Zbl 1042.17503) Full Text: DOI
Daumens, Michel Reducible boson fermion realizations for \(\text{osp}(1| 2)\) and \(\text{osp}(3| 2)\) superalgebras. (English) Zbl 0812.17024 J. Math. Phys. 35, No. 5, 2505-2515 (1994). Reviewer: J.Van der Jeugt (Gent) MSC: 17B70 81R05 PDFBibTeX XMLCite \textit{M. Daumens}, J. Math. Phys. 35, No. 5, 2505--2515 (1994; Zbl 0812.17024) Full Text: DOI
Yang, Yaping; Yu, Zurong Finite dimensional irreducible representations of the quantum algebra \(U_ q(C_ 2)\). (English) Zbl 0806.17006 J. Math. Phys. 35, No. 2, 1037-1043 (1994). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{Z. Yu}, J. Math. Phys. 35, No. 2, 1037--1043 (1994; Zbl 0806.17006) Full Text: DOI
Daumens, Michel Boson fermion realizations for the super-rotation algebra. (English) Zbl 0817.17005 J. Math. Phys. 35, No. 2, 986-992 (1994). Reviewer: J.Van der Jeugt (Gent) MSC: 17A70 81R05 PDFBibTeX XMLCite \textit{M. Daumens}, J. Math. Phys. 35, No. 2, 986--992 (1994; Zbl 0817.17005) Full Text: DOI
Bracken, A. J.; Gould, M. D.; Tsohantjis, I. Boson-fermion models for osp(1,2) and \(U_ q{[}\)osp(1,2)\(]\). (English) Zbl 0784.17016 J. Math. Phys. 34, No. 5, 1654-1664 (1993). Reviewer: J.Van der Jeugt (Gent) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{A. J. Bracken} et al., J. Math. Phys. 34, No. 5, 1654--1664 (1993; Zbl 0784.17016) Full Text: DOI
Burdík, Č.; Havlíček, M.; Vančura, A. Irreducible highest weight representations of quantum groups \(U_ q(gl(n,\mathbb{C}{}))\). (English) Zbl 0764.17008 Commun. Math. Phys. 148, No. 2, 417-423 (1992). Reviewer: J.Van der Jeugt (Gent) MSC: 17B37 81R50 17B10 PDFBibTeX XMLCite \textit{Č. Burdík} et al., Commun. Math. Phys. 148, No. 2, 417--423 (1992; Zbl 0764.17008) Full Text: DOI
Blank, J.; Havlíček, M. Irreducible *-representations of the Lie superalgebras \(B(0,n)\) with finite-degenerated vacuum. II. (English) Zbl 0655.17008 J. Math. Phys. 29, No. 3, 546-559 (1988). Reviewer: M.Scheunert MSC: 17B10 81R05 22E46 PDFBibTeX XMLCite \textit{J. Blank} and \textit{M. Havlíček}, J. Math. Phys. 29, No. 3, 546--559 (1988; Zbl 0655.17008) Full Text: DOI
Blank, J.; Havlíček, M. Irreducible *-representations of Lie superalgebras \(B(0,n)\) with finite- degenerated vacuum. (English) Zbl 0615.17002 J. Math. Phys. 27, 2823-2831 (1986). Reviewer: M.Scheunert MSC: 17B10 81R05 PDFBibTeX XMLCite \textit{J. Blank} and \textit{M. Havlíček}, J. Math. Phys. 27, 2823--2831 (1986; Zbl 0615.17002) Full Text: DOI
Dittmann, Jochen; Rudolph, Gerd Canonical realizations of Lie algebras associated with foliated coadjoint orbits. (English) Zbl 0605.58023 Ann. Inst. Henri Poincaré, Phys. Théor. 43, 251-267 (1985). MSC: 37J99 37C85 17B99 PDFBibTeX XMLCite \textit{J. Dittmann} and \textit{G. Rudolph}, Ann. Inst. Henri Poincaré, Phys. Théor. 43, 251--267 (1985; Zbl 0605.58023) Full Text: Numdam EuDML
Leĭtes, D. A. Lie superalgebras. (English. Russian original) Zbl 0567.17003 J. Sov. Math. 30, 2481-2512 (1985); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 25, 3-49 (1984). Reviewer: Aleksandr K. Guts (Omsk) MSC: 17B10 17-02 17B67 PDFBibTeX XMLCite \textit{D. A. Leĭtes}, J. Sov. Math. 30, 2481--2512 (1985; Zbl 0567.17003); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 25, 3--49 (1984) Full Text: DOI
Havlíček, M.; Lassner, W. On the “near to minimal” canonical realizations of the Lie algebra \(C_n\). (English) Zbl 0358.17011 Int. J. Theor. Phys. 15(1976), 877-884 (1977). Reviewer: M. Havlíček; W. Lassner MSC: 17B10 PDFBibTeX XMLCite \textit{M. Havlíček} and \textit{W. Lassner}, Int. J. Theor. Phys. 15, 877--884 (1977; Zbl 0358.17011) Full Text: DOI
Havlíček, M.; Exner, P. Matrix canonical realizations of the Lie algebra \(\mathrm{o}(m,n)\). I: Basic formulae and classification. (English) Zbl 0365.17004 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 23, 335-347 (1975). Reviewer: U. Cattaneo MSC: 17B10 22E70 PDFBibTeX XMLCite \textit{M. Havlíček} and \textit{P. Exner}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 23, 335--347 (1975; Zbl 0365.17004) Full Text: Numdam EuDML
Havlíček, M.; Lassner, W. Canonical realizations of the Lie algebras \(\mathrm{gl}(n,\mathbb R)\) and \(\mathrm{sl}(n,\mathbb R)\). I: Formulae and classification. (English) Zbl 0324.17002 Rep. Math. Phys. 8, 391-399 (1975). Reviewer: M. Havlíček MSC: 17B10 22E70 PDFBibTeX XMLCite \textit{M. Havlíček} and \textit{W. Lassner}, Rep. Math. Phys. 8, 391--399 (1975; Zbl 0324.17002) Full Text: DOI