Jarvis, Peter D.; Thierry-Mieg, Jean Indecomposable doubling for representations of the type I Lie superalgebras \(sl(m/n)\) and \(osp(2/2n)\). (English) Zbl 07656192 J. Phys. A, Math. Theor. 55, No. 47, Article ID 475206, 13 p. (2022). Reviewer: Angelo Bianchi (São José dos Campos) MSC: 17B10 17B20 17B56 PDFBibTeX XMLCite \textit{P. D. Jarvis} and \textit{J. Thierry-Mieg}, J. Phys. A, Math. Theor. 55, No. 47, Article ID 475206, 13 p. (2022; Zbl 07656192) Full Text: DOI arXiv
Latini, Danilo; Marquette, Ian; Zhang, Yao-Zhong Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras. (English) Zbl 07625573 J. Phys. A, Math. Theor. 55, No. 33, Article ID 335203, 42 p. (2022). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 17B20 17B35 17B80 81R12 PDFBibTeX XMLCite \textit{D. Latini} et al., J. Phys. A, Math. Theor. 55, No. 33, Article ID 335203, 42 p. (2022; Zbl 07625573) Full Text: DOI arXiv
Troost, Jan Lie algebra fermions. (English) Zbl 1519.81251 J. Phys. A, Math. Theor. 53, No. 42, Article ID 425401, 44 p. (2020). MSC: 81Q60 81R10 17B20 PDFBibTeX XMLCite \textit{J. Troost}, J. Phys. A, Math. Theor. 53, No. 42, Article ID 425401, 44 p. (2020; Zbl 1519.81251) Full Text: DOI arXiv
Avetisyan, M. Y.; Mkrtchyan, R. L. \(X_2\) series of universal quantum dimensions. (English) Zbl 1511.17028 J. Phys. A, Math. Theor. 53, No. 4, Article ID 045202, 28 p. (2020). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{M. Y. Avetisyan} and \textit{R. L. Mkrtchyan}, J. Phys. A, Math. Theor. 53, No. 4, Article ID 045202, 28 p. (2020; Zbl 1511.17028) Full Text: DOI arXiv
Campoamor-Stursberg, R.; Marquette, I. Generalized conformal pseudo-Galilean algebras and their Casimir operators. (English) Zbl 1510.17052 J. Phys. A, Math. Theor. 52, No. 47, Article ID 475202, 17 p. (2019). MSC: 17B81 17B35 81R05 PDFBibTeX XMLCite \textit{R. Campoamor-Stursberg} and \textit{I. Marquette}, J. Phys. A, Math. Theor. 52, No. 47, Article ID 475202, 17 p. (2019; Zbl 1510.17052) Full Text: DOI arXiv
Campoamor-Stursberg, R. The external labelling problem and Clebsch-Gordan series of semisimple Lie algebras. (English) Zbl 1507.17012 J. Phys. A, Math. Theor. 52, No. 12, Article ID 125201, 29 p. (2019). MSC: 17B10 17B15 17B20 PDFBibTeX XMLCite \textit{R. Campoamor-Stursberg}, J. Phys. A, Math. Theor. 52, No. 12, Article ID 125201, 29 p. (2019; Zbl 1507.17012) Full Text: DOI
Cheng, Miranda C. N.; Duncan, John F. R.; Harvey, Jeffrey A. Weight one Jacobi forms and umbral moonshine. (English) Zbl 1436.11052 J. Phys. A, Math. Theor. 51, No. 10, Article ID 104002, 37 p. (2018). MSC: 11F50 11F22 PDFBibTeX XMLCite \textit{M. C. N. Cheng} et al., J. Phys. A, Math. Theor. 51, No. 10, Article ID 104002, 37 p. (2018; Zbl 1436.11052) Full Text: DOI arXiv
Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen; Ono, Ken; Rolen, Larry Number theoretic generalization of the monster denominator formula. (English) Zbl 1421.11031 J. Phys. A, Math. Theor. 50, No. 47, Article ID 473001, 14 p. (2017). MSC: 11F22 17B69 PDFBibTeX XMLCite \textit{K. Bringmann} et al., J. Phys. A, Math. Theor. 50, No. 47, Article ID 473001, 14 p. (2017; Zbl 1421.11031) Full Text: DOI arXiv
Carnahan, Scott Fricke Lie algebras and the genus zero property in Moonshine. (English) Zbl 1376.81057 J. Phys. A, Math. Theor. 50, No. 40, Article ID 404002, 21 p. (2017). MSC: 81T30 17B67 17B69 81R10 81T40 11F22 PDFBibTeX XMLCite \textit{S. Carnahan}, J. Phys. A, Math. Theor. 50, No. 40, Article ID 404002, 21 p. (2017; Zbl 1376.81057) Full Text: DOI arXiv
Funke, Jens; Kudla, Stephen S. Mock modular forms and geometric theta functions for indefinite quadratic forms. (English) Zbl 1376.81058 J. Phys. A, Math. Theor. 50, No. 40, Article ID 404001, 19 p. (2017). MSC: 81T30 11F27 11E16 11F55 17B67 81R10 11F22 PDFBibTeX XMLCite \textit{J. Funke} and \textit{S. S. Kudla}, J. Phys. A, Math. Theor. 50, No. 40, Article ID 404001, 19 p. (2017; Zbl 1376.81058) Full Text: DOI Link
Di Francesco, Philippe; Kedem, Rinat; Turmunkh, Bolor A path model for Whittaker vectors. (English) Zbl 1370.81090 J. Phys. A, Math. Theor. 50, No. 25, Article ID 255201, 35 p. (2017). MSC: 81R12 37K10 22E47 33C15 17B20 17B67 17B37 81R50 PDFBibTeX XMLCite \textit{P. Di Francesco} et al., J. Phys. A, Math. Theor. 50, No. 25, Article ID 255201, 35 p. (2017; Zbl 1370.81090) Full Text: DOI arXiv
Stoilova, N. I.; Van der Jeugt, J. Gel’fand-Zetlin basis for a class of representations of the Lie superalgebra \(\mathfrak{gl}(\infty|\infty)\). (English) Zbl 1350.17008 J. Phys. A, Math. Theor. 49, No. 16, Article ID 165204, 21 p. (2016). MSC: 17B10 17B20 17B65 PDFBibTeX XMLCite \textit{N. I. Stoilova} and \textit{J. Van der Jeugt}, J. Phys. A, Math. Theor. 49, No. 16, Article ID 165204, 21 p. (2016; Zbl 1350.17008) Full Text: DOI arXiv
Holweck, Frédéric; Lévay, Péter Classification of multipartite systems featuring only \(|W\rangle\) and \(|GHZ\rangle\) genuine entangled states. (English) Zbl 1342.81039 J. Phys. A, Math. Theor. 49, No. 8, Article ID 085201, 21 p. (2016). MSC: 81P40 51A05 17C20 PDFBibTeX XMLCite \textit{F. Holweck} and \textit{P. Lévay}, J. Phys. A, Math. Theor. 49, No. 8, Article ID 085201, 21 p. (2016; Zbl 1342.81039) Full Text: DOI arXiv
Stoilova, N. I.; Van der Jeugt, J. A class of infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\) and the parastatistics Fock space. (English) Zbl 1328.17009 J. Phys. A, Math. Theor. 48, No. 15, Article ID 155202, 16 p. (2015). MSC: 17B10 17B20 81T30 PDFBibTeX XMLCite \textit{N. I. Stoilova} and \textit{J. Van der Jeugt}, J. Phys. A, Math. Theor. 48, No. 15, Article ID 155202, 16 p. (2015; Zbl 1328.17009) Full Text: DOI arXiv
Eisner, Idan Exotic cluster structures on \({SL}_{5}\). (English) Zbl 1307.53064 J. Phys. A, Math. Theor. 47, No. 47, Article ID 474002, 23 p. (2014). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 13F60 PDFBibTeX XMLCite \textit{I. Eisner}, J. Phys. A, Math. Theor. 47, No. 47, Article ID 474002, 23 p. (2014; Zbl 1307.53064) Full Text: DOI arXiv
Lazarescu, Alexandre; Pasquier, Vincent Bethe ansatz and \(Q\)-operator for the open ASEP. (English) Zbl 1294.82015 J. Phys. A, Math. Theor. 47, No. 29, Article ID 295202, 48 p. (2014). MSC: 82B23 17B80 37K15 PDFBibTeX XMLCite \textit{A. Lazarescu} and \textit{V. Pasquier}, J. Phys. A, Math. Theor. 47, No. 29, Article ID 295202, 48 p. (2014; Zbl 1294.82015) Full Text: DOI arXiv
Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. On an approach for computing the generating functions of the characters of simple Lie algebras. (English) Zbl 1287.81057 J. Phys. A, Math. Theor. 47, No. 14, Article ID 145202, 14 p. (2014). MSC: 17B10 17B20 81R12 PDFBibTeX XMLCite \textit{J. Fernández Núñez} et al., J. Phys. A, Math. Theor. 47, No. 14, Article ID 145202, 14 p. (2014; Zbl 1287.81057) Full Text: DOI arXiv
Lyakhovsky, V. D.; Uvarov, Ph. V. Multivariate Chebyshev polynomials. (English) Zbl 1300.33015 J. Phys. A, Math. Theor. 46, No. 12, Article ID 125201, 22 p. (2013). Reviewer: Jorge Vargas (Cordoba) MSC: 33C45 17B22 42C05 PDFBibTeX XMLCite \textit{V. D. Lyakhovsky} and \textit{Ph. V. Uvarov}, J. Phys. A, Math. Theor. 46, No. 12, Article ID 125201, 22 p. (2013; Zbl 1300.33015) Full Text: DOI
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A. Characteristic classes of \(SL(N, \mathbb C)\)-bundles and quantum dynamical elliptic R-matrices. (English) Zbl 1273.81117 J. Phys. A, Math. Theor. 46, No. 3, Article ID 035201, 25 p. (2013). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 81R12 81R10 16T25 14D21 55R40 17B20 22E70 PDFBibTeX XMLCite \textit{A. Levin} et al., J. Phys. A, Math. Theor. 46, No. 3, Article ID 035201, 25 p. (2013; Zbl 1273.81117) Full Text: DOI arXiv
Larouche, M.; Lemire, F. W.; Patera, J. Centralizers of maximal regular subgroups in simple Lie groups and relative congruence classes of representations. (English) Zbl 1262.22004 J. Phys. A, Math. Theor. 44, No. 41, Article ID 415204, 23 p. (2011). Reviewer: Toshihisa Kubo (Tokyo) MSC: 22E46 17B10 17B20 PDFBibTeX XMLCite \textit{M. Larouche} et al., J. Phys. A, Math. Theor. 44, No. 41, Article ID 415204, 23 p. (2011; Zbl 1262.22004) Full Text: DOI arXiv
Larouche, M.; Patera, J. Branching rules for Weyl group orbits of simple Lie algebras \(B_n, C_n\) and \(D_n\). (English) Zbl 1220.17002 J. Phys. A, Math. Theor. 44, No. 11, Article ID 115203, 37 p. (2011). MSC: 17B10 17B20 22E70 PDFBibTeX XMLCite \textit{M. Larouche} and \textit{J. Patera}, J. Phys. A, Math. Theor. 44, No. 11, Article ID 115203, 37 p. (2011; Zbl 1220.17002) Full Text: DOI arXiv
Campoamor-Stursberg, Rutwig Internal labelling problem: an algorithmic procedure. (English) Zbl 1222.81185 J. Phys. A, Math. Theor. 44, No. 2, Article ID 025204, 18 p. (2011). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 81R05 17B20 17-08 PDFBibTeX XMLCite \textit{R. Campoamor-Stursberg}, J. Phys. A, Math. Theor. 44, No. 2, Article ID 025204, 18 p. (2011; Zbl 1222.81185) Full Text: DOI Link
Nesterenko, M.; Patera, J.; Szajewska, M.; Tereszkiewicz, A. Orthogonal polynomials of compact simple Lie groups: branching rules for polynomials. (English) Zbl 1225.22013 J. Phys. A, Math. Theor. 43, No. 49, Article ID 495207, 27 p. (2010). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 22E46 33D52 20F55 33C80 22E30 PDFBibTeX XMLCite \textit{M. Nesterenko} et al., J. Phys. A, Math. Theor. 43, No. 49, Article ID 495207, 27 p. (2010; Zbl 1225.22013) Full Text: DOI arXiv
Carbone, Lisa; Chung, Sjuvon; Cobbs, Leigh; McRae, Robert; Nandi, Debajyoti; Naqvi, Yusra; Penta, Diego Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits. (English) Zbl 1187.81156 J. Phys. A, Math. Theor. 43, No. 15, Article ID 155209, 30 p. (2010). MSC: 81R05 17B20 20F67 17B67 22E60 22E70 81R10 PDFBibTeX XMLCite \textit{L. Carbone} et al., J. Phys. A, Math. Theor. 43, No. 15, Article ID 155209, 30 p. (2010; Zbl 1187.81156) Full Text: DOI arXiv
Feigin, Evgeny; Littelmann, Peter Zhu’s algebra and the \(C_2\)-algebra in the symplectic and the orthogonal cases. (English) Zbl 1214.81243 J. Phys. A, Math. Theor. 43, No. 13, Article ID 135206, 18 p. (2010). Reviewer: Antun Milas (Albany) MSC: 81T40 17B69 17B20 17A70 22E70 PDFBibTeX XMLCite \textit{E. Feigin} and \textit{P. Littelmann}, J. Phys. A, Math. Theor. 43, No. 13, Article ID 135206, 18 p. (2010; Zbl 1214.81243) Full Text: DOI arXiv
Jin, Yidong; Liu, Wenli; Zhang, Zhixue Real simple \(n\)-Lie algebras admitting metric structures. (English) Zbl 1204.17005 J. Phys. A, Math. Theor. 42, No. 48, Article ID 485206, 9 p. (2009). MSC: 17A42 17B60 PDFBibTeX XMLCite \textit{Y. Jin} et al., J. Phys. A, Math. Theor. 42, No. 48, Article ID 485206, 9 p. (2009; Zbl 1204.17005) Full Text: DOI
Larouche, M.; Nesterenko, M.; Patera, J. Branching rules for the Weyl group orbits of the Lie algebra \(A_n\). (English) Zbl 1179.17011 J. Phys. A, Math. Theor. 42, No. 48, Article ID 485203, 15 p. (2009). MSC: 17B10 22E70 20F55 22E46 PDFBibTeX XMLCite \textit{M. Larouche} et al., J. Phys. A, Math. Theor. 42, No. 48, Article ID 485203, 15 p. (2009; Zbl 1179.17011) Full Text: DOI arXiv