Ogievetsky, Oleg; Pyatov, Pavel Cayley-Hamilton theorem for symplectic quantum matrix algebras. (English) Zbl 1467.81082 J. Geom. Phys. 165, Article ID 104211, 19 p. (2021). MSC: 81T32 81R50 53D45 PDFBibTeX XMLCite \textit{O. Ogievetsky} and \textit{P. Pyatov}, J. Geom. Phys. 165, Article ID 104211, 19 p. (2021; Zbl 1467.81082) Full Text: DOI arXiv
Ogievetsky, Oleg; Pyatov, Pavel Quantum matrix algebras of BMW type: structure of the characteristic subalgebra. (English) Zbl 1462.81110 J. Geom. Phys. 162, Article ID 104086, 35 p. (2021). MSC: 81R50 17B37 15A30 08A30 53D55 PDFBibTeX XMLCite \textit{O. Ogievetsky} and \textit{P. Pyatov}, J. Geom. Phys. 162, Article ID 104086, 35 p. (2021; Zbl 1462.81110) Full Text: DOI arXiv
Gurevich, Dimitri; Saponov, Pavel; Talalaev, Dmitry Drinfeld-Sokolov reduction in quantum algebras: canonical form of generating matrices. (English) Zbl 1398.81129 Lett. Math. Phys. 108, No. 10, 2303-2314 (2018). MSC: 81R50 17B37 20F55 20C08 11G09 PDFBibTeX XMLCite \textit{D. Gurevich} et al., Lett. Math. Phys. 108, No. 10, 2303--2314 (2018; Zbl 1398.81129) Full Text: DOI
Gurevich, Dimitri; Saponov, Pavel Quantum geometry and quantization on \(U(u(2))\) background. Noncommutative Dirac monopole. (English) Zbl 1341.81033 J. Geom. Phys. 106, 87-97 (2016). MSC: 81R50 81S05 83C65 17B37 81R60 26B05 81V10 PDFBibTeX XMLCite \textit{D. Gurevich} and \textit{P. Saponov}, J. Geom. Phys. 106, 87--97 (2016; Zbl 1341.81033) Full Text: DOI arXiv
Chervov, A.; Falqui, G.; Rubtsov, V.; Silantyev, A. Algebraic properties of Manin matrices. II: \(q\)-analogues and integrable systems. (English) Zbl 1314.15020 Adv. Appl. Math. 60, 25-89 (2014). MSC: 15B33 05A19 05A30 15A15 16T20 17B37 20G42 81R50 PDFBibTeX XMLCite \textit{A. Chervov} et al., Adv. Appl. Math. 60, 25--89 (2014; Zbl 1314.15020) Full Text: DOI arXiv
Gurevich, Dimitri; Saponov, Pavel Braided algebras and their applications to noncommutative geometry. (English) Zbl 1292.17011 Adv. Appl. Math. 51, No. 2, 228-253 (2013). MSC: 17B37 16T25 17B35 58B34 81R10 PDFBibTeX XMLCite \textit{D. Gurevich} and \textit{P. Saponov}, Adv. Appl. Math. 51, No. 2, 228--253 (2013; Zbl 1292.17011) Full Text: DOI arXiv
Gurevich, Dimitri; Pyatov, Pavel; Saponov, Pavel Braided Weyl algebras and differential calculus on \(U(u(2))\). (English) Zbl 1259.17010 J. Geom. Phys. 62, No. 5, 1175-1188 (2012). MSC: 17B37 16T20 58B34 PDFBibTeX XMLCite \textit{D. Gurevich} et al., J. Geom. Phys. 62, No. 5, 1175--1188 (2012; Zbl 1259.17010) Full Text: DOI arXiv
Gurevich, D.; Pyatov, P.; Saponov, P. Representation theory of (modified) reflection equation algebra of \(\mathrm{GL}(m|n)\) type. (English. Russian original) Zbl 1206.81061 St. Petersbg. Math. J. 20, No. 2, 213-253 (2009); translation from Algebra Anal. 20, No. 2, 70-133 (2008). MSC: 81R50 17B37 PDFBibTeX XMLCite \textit{D. Gurevich} et al., St. Petersbg. Math. J. 20, No. 2, 213--253 (2009; Zbl 1206.81061); translation from Algebra Anal. 20, No. 2, 70--133 (2008) Full Text: DOI arXiv
Gurevich, D. I.; Pyatov, P. N.; Access, P. A. Saponov Spectral parameterization for power sums of a quantum supermatrix. (English. Russian original) Zbl 1173.81006 Theor. Math. Phys. 159, No. 2, 587-597 (2009); translation from Teor. Mat. Fiz. 159, No. 2, 207-219 (2009). MSC: 81Q10 PDFBibTeX XMLCite \textit{D. I. Gurevich} et al., Theor. Math. Phys. 159, No. 2, 587--597 (2009; Zbl 1173.81006); translation from Teor. Mat. Fiz. 159, No. 2, 207--219 (2009) Full Text: DOI arXiv
Chervov, A.; Falqui, G.; Rubtsov, V. Algebraic properties of Manin matrices. I. (English) Zbl 1230.05043 Adv. Appl. Math. 43, No. 3, 239-315 (2009). MSC: 05A19 15B33 81R50 PDFBibTeX XMLCite \textit{A. Chervov} et al., Adv. Appl. Math. 43, No. 3, 239--315 (2009; Zbl 1230.05043) Full Text: DOI arXiv
Hai, Phùng Hô; Kriegk, Benoît; Lorenz, Martin \(N\)-homogeneous superalgebras. (English) Zbl 1151.16028 J. Noncommut. Geom. 2, No. 1, 1-51 (2008). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S37 16W55 16W30 PDFBibTeX XMLCite \textit{P. H. Hai} et al., J. Noncommut. Geom. 2, No. 1, 1--51 (2008; Zbl 1151.16028) Full Text: DOI arXiv