Liu, Jie Matrix spherical functions for \((\text{SU}(n+m),\text{S}(\text{U}(n)\times\text{U}(m)))\): two specific classes. (English) Zbl 07727622 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 055, 33 p. (2023). MSC: 17B10 22E46 33C50 PDFBibTeX XMLCite \textit{J. Liu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 055, 33 p. (2023; Zbl 07727622) Full Text: DOI arXiv
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
Grantcharov, Nikolay; Serganova, Vera Extension quiver for Lie superalgebra \(\mathfrak{q}(3)\). (English) Zbl 1498.17035 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 141, 32 p. (2020). Reviewer: Tiago Macedo (São Paulo) MSC: 17B55 17B10 PDFBibTeX XMLCite \textit{N. Grantcharov} and \textit{V. Serganova}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 141, 32 p. (2020; Zbl 1498.17035) Full Text: DOI arXiv
Hopkins, Sam Cyclic sieving for plane partitions and symmetry. (English) Zbl 1461.05240 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 130, 40 p. (2020). Reviewer: Andrea Svob (Rijeka) MSC: 05E18 05E10 17B10 17B37 PDFBibTeX XMLCite \textit{S. Hopkins}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 130, 40 p. (2020; Zbl 1461.05240) Full Text: DOI arXiv
Barbier, Sigiswald; Claerebout, Sam; De Bie, Hendrik A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(m, 2 | 2n)\). (English) Zbl 1484.17014 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 085, 33 p. (2020). MSC: 17B10 17B60 22E46 58C50 PDFBibTeX XMLCite \textit{S. Barbier} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 085, 33 p. (2020; Zbl 1484.17014) Full Text: DOI arXiv
Coquereaux, Robert; Zuber, Jean-Bernard The Horn problem for real symmetric and quaternionic self-dual matrices. (English) Zbl 1451.15008 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 029, 34 p. (2019). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 17B08 17B10 22E46 43A75 52B12 PDFBibTeX XMLCite \textit{R. Coquereaux} and \textit{J.-B. Zuber}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 029, 34 p. (2019; Zbl 1451.15008) Full Text: DOI arXiv
Mudrov, Andrey I. Contravariant form on tensor product of highest weight modules. (English) Zbl 1454.17009 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 026, 10 p. (2019). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B10 17B20 17B35 PDFBibTeX XMLCite \textit{A. I. Mudrov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 026, 10 p. (2019; Zbl 1454.17009) Full Text: DOI arXiv
Kodera, Ryosuke Braid group action on affine Yangian. (English) Zbl 1481.17012 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 020, 28 p. (2019). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 17B10 17B37 17B67 PDFBibTeX XMLCite \textit{R. Kodera}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 020, 28 p. (2019; Zbl 1481.17012) Full Text: DOI arXiv
Filipuk, Galina; Van Assche, Walter Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI. (English) Zbl 1400.33016 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 088, 19 p. (2018). MSC: 33C45 33E17 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{W. Van Assche}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 088, 19 p. (2018; Zbl 1400.33016) Full Text: DOI arXiv
Lusztig, George; Williamson, Geordie Billiards and tilting characters for \(\mathrm{SL}_3\). (English) Zbl 1447.20007 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 015, 22 p. (2018). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20C20 17B10 20C08 20G05 37C83 20C30 PDFBibTeX XMLCite \textit{G. Lusztig} and \textit{G. Williamson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 015, 22 p. (2018; Zbl 1447.20007) Full Text: DOI arXiv
Zhang, Huafeng Asymptotic representations of quantum affine superalgebras. (English) Zbl 1420.17017 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 066, 25 p. (2017). MSC: 17B37 17B10 81R50 PDFBibTeX XMLCite \textit{H. Zhang}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 066, 25 p. (2017; Zbl 1420.17017) Full Text: DOI arXiv
Zhang, Jiao; Hu, Naihong Realization of \(U_q({\mathfrak{sp}}_{2n})\) within the differential algebra on quantum symplectic space. (English) Zbl 1403.17011 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 084, 21 p. (2017). MSC: 17B10 17B37 20G42 81R50 81R60 81T75 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{N. Hu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 084, 21 p. (2017; Zbl 1403.17011) Full Text: DOI arXiv
Herlemont, Basile; Ogievetsky, Oleg Differential calculus on \(\mathbf{h}\)-deformed spaces. (English) Zbl 1388.16025 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 082, 28 p. (2017). MSC: 16S30 16S32 16T25 17B10 39A14 PDFBibTeX XMLCite \textit{B. Herlemont} and \textit{O. Ogievetsky}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 082, 28 p. (2017; Zbl 1388.16025) Full Text: DOI arXiv
Nirov, Khazret S.; Razumov, Alexander V. Highest \(\ell\)-weight representations and functional relations. (English) Zbl 1419.17022 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 043, 31 p. (2017). MSC: 17B37 16T25 17B10 PDFBibTeX XMLCite \textit{K. S. Nirov} and \textit{A. V. Razumov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 043, 31 p. (2017; Zbl 1419.17022) Full Text: DOI arXiv
Adamović, Dražen; Radobolja, Gordan On free field realizations of \(W(2,2)\)-modules. (English) Zbl 1410.17021 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 113, 13 p. (2016). MSC: 17B68 17B69 17B10 PDFBibTeX XMLCite \textit{D. Adamović} and \textit{G. Radobolja}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 113, 13 p. (2016; Zbl 1410.17021) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). (English) Zbl 1347.17012 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 018, 13 p. (2015). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B67 17B10 05E10 PDFBibTeX XMLCite \textit{V. Futorny} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 018, 13 p. (2015; Zbl 1347.17012) Full Text: DOI arXiv EMIS
Coulembier, Kevin; Mazorchuk, Volodymyr Extension fullness of the categories of Gelfand-Zeitlin and Whittaker modules. (English) Zbl 1331.17006 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 016, 17 p. (2015). MSC: 17B10 17B20 17B56 PDFBibTeX XMLCite \textit{K. Coulembier} and \textit{V. Mazorchuk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 016, 17 p. (2015; Zbl 1331.17006) Full Text: DOI arXiv EMIS
Aizawa, Naruhiko; Chandrashekar, Radhakrishnan; Segar, Jambulingam Lowest weight representations, singular vectors and invariant equations for a class of conformal Galilei algebras. (English) Zbl 1331.17005 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 002, 19 p. (2015). MSC: 17B10 17B80 58J70 PDFBibTeX XMLCite \textit{N. Aizawa} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 002, 19 p. (2015; Zbl 1331.17005) Full Text: DOI arXiv EMIS
Ravinder, Bhimarthi Demazure modules, Chari-Venkatesh modules and fusion products. (English) Zbl 1331.17022 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 110, 10 p. (2014). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{B. Ravinder}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 110, 10 p. (2014; Zbl 1331.17022) Full Text: DOI arXiv EMIS
Fourier, Ghislain; Hernandez, David Schur positivity and Kirillov-Reshetikhin modules. (English) Zbl 1372.17018 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 058, 9 p. (2014). Reviewer: Jan E. Grabowski (Lancaster) MSC: 17B67 17B10 17B37 05E05 PDFBibTeX XMLCite \textit{G. Fourier} and \textit{D. Hernandez}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 058, 9 p. (2014; Zbl 1372.17018) Full Text: DOI arXiv EMIS
Naoi, Katsuyuki Graded limits of minimal affinizations in type \(D\). (English) Zbl 1376.17023 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 047, 20 p. (2014). MSC: 17B37 17B10 17B67 PDFBibTeX XMLCite \textit{K. Naoi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 047, 20 p. (2014; Zbl 1376.17023) Full Text: DOI arXiv EMIS
Chari, Vyjayanthi; Schneider, Lisa; Shereen, Peri; Wand, Jeffrey Modules with Demazure flags and character formulae. (English) Zbl 1286.05178 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 032, 16 p. (2014). MSC: 05E10 14H42 17B10 PDFBibTeX XMLCite \textit{V. Chari} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 032, 16 p. (2014; Zbl 1286.05178) Full Text: DOI arXiv EMIS
Bennett, Matthew; Bianchi, Angelo Tilting modules in truncated categories. (English) Zbl 1376.17032 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 030, 24 p. (2014). MSC: 17B65 17B10 17B55 17B70 PDFBibTeX XMLCite \textit{M. Bennett} and \textit{A. Bianchi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 030, 24 p. (2014; Zbl 1376.17032) Full Text: DOI arXiv EMIS
Kubo, Toshihisa Systems of differential operators and generalized Verma modules. (English) Zbl 1290.22009 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 008, 35 p. (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E46 17B10 22E47 PDFBibTeX XMLCite \textit{T. Kubo}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 008, 35 p. (2014; Zbl 1290.22009) Full Text: DOI arXiv EMIS
Mellouli, Najla; Nibirantiza, Aboubacar; Radoux, Fabian \(\mathfrak{spo}(2|2)\)-equivariant quantizations on the supercircle \(S^{1|2}\). (English) Zbl 1380.53103 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 055, 17 p. (2013). MSC: 53D50 53D10 17B66 17B10 PDFBibTeX XMLCite \textit{N. Mellouli} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 055, 17 p. (2013; Zbl 1380.53103) Full Text: DOI arXiv EMIS
Witte, Nicholas S.; Ormerod, Christopher M. Construction of a Lax pair for the \(E_{6}^{(1)} \)q-Painlevé system. (English) Zbl 1383.33005 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 097, 27 p. (2012). MSC: 33E17 37K35 34M55 34M56 PDFBibTeX XMLCite \textit{N. S. Witte} and \textit{C. M. Ormerod}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 097, 27 p. (2012; Zbl 1383.33005) Full Text: DOI arXiv
Feigin, Evgeny The PBW filtration, Demazure modules and toroidal current algebras. (English) Zbl 1215.17015 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 070, 21 p. (2008). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{E. Feigin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 070, 21 p. (2008; Zbl 1215.17015) Full Text: DOI arXiv EuDML
Kulish, Petr; Lyakhovsky, Vladimir String functions for affine Lie algebras integrable modules. (English) Zbl 1215.17017 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 085, 18 p. (2008). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{P. Kulish} and \textit{V. Lyakhovsky}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 085, 18 p. (2008; Zbl 1215.17017) Full Text: DOI arXiv EuDML
Klimyk, Anatoliy; Patera, Jiri Orbit functions. (English) Zbl 1118.33004 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 006, 60 p. (2006). Reviewer: Vivek Sahai (Lucknow) MSC: 33C80 17B10 33-02 PDFBibTeX XMLCite \textit{A. Klimyk} and \textit{J. Patera}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 006, 60 p. (2006; Zbl 1118.33004) Full Text: DOI arXiv EuDML EMIS