Iliev, Plamen Gaudin model for the multinomial distribution. (English) Zbl 07812084 Ann. Henri Poincaré 25, No. 3, 1795-1810 (2024). MSC: 81R12 17B81 33C70 PDFBibTeX XMLCite \textit{P. Iliev}, Ann. Henri Poincaré 25, No. 3, 1795--1810 (2024; Zbl 07812084) Full Text: DOI arXiv
Labriet, Q.; Poulain d’Andecy, L. Realisations of Racah algebras using Jacobi operators and convolution identities. (English) Zbl 07796440 Adv. Appl. Math. 153, Article ID 102620, 31 p. (2024). MSC: 17B10 33C45 PDFBibTeX XMLCite \textit{Q. Labriet} and \textit{L. Poulain d'Andecy}, Adv. Appl. Math. 153, Article ID 102620, 31 p. (2024; Zbl 07796440) Full Text: DOI arXiv
Cabezas, David; Peralta, Antonio M. Linear orthogonality preservers between function spaces associated with commutative \(JB^*\)-triples. (English) Zbl 07776596 Linear Multilinear Algebra 71, No. 17, 2728-2743 (2023). MSC: 47B49 46E25 46J10 46H40 17C65 PDFBibTeX XMLCite \textit{D. Cabezas} and \textit{A. M. Peralta}, Linear Multilinear Algebra 71, No. 17, 2728--2743 (2023; Zbl 07776596) Full Text: DOI arXiv
Gowda, M. Seetharama Korovkin-type results and doubly stochastic transformations over Euclidean Jordan algebras. (English) Zbl 1520.17038 Positivity 27, No. 1, Paper No. 12, 19 p. (2023). MSC: 17C20 17C27 47B65 PDFBibTeX XMLCite \textit{M. S. Gowda}, Positivity 27, No. 1, Paper No. 12, 19 p. (2023; Zbl 1520.17038) Full Text: DOI arXiv
Regelskis, Vidas; Vlaar, Bart Pseudo-symmetric pairs for Kac-Moody algebras. (English) Zbl 1512.17046 Koelink, Erik (ed.) et al., Hypergeometry, integrability and Lie theory. Virtual conference, Lorentz Center, Leiden, the Netherlands, December 7–11, 2020. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 780, 155-203 (2022). MSC: 17B67 17B22 17B37 17B40 20F55 PDFBibTeX XMLCite \textit{V. Regelskis} and \textit{B. Vlaar}, Contemp. Math. 780, 155--203 (2022; Zbl 1512.17046) Full Text: DOI arXiv
Israr, Muhammad; Lu, Gang; Jin, Yuanfeng; Park, Choonkil A general additive functional inequality and derivation in Banach algebras. (English) Zbl 1468.39013 J. Math. Inequal. 15, No. 1, 305-321 (2021). Reviewer: J. M. Almira (Murcia) MSC: 39B62 39B52 47H10 46B25 16W25 17B40 PDFBibTeX XMLCite \textit{M. Israr} et al., J. Math. Inequal. 15, No. 1, 305--321 (2021; Zbl 1468.39013) Full Text: DOI
Kochanek, Tomasz Approximately order zero maps between \(\mathrm{C}^\ast \)-algebras. (English) Zbl 1478.46051 J. Funct. Anal. 281, No. 2, Article ID 109025, 49 p. (2021). Reviewer: Hermann Pfitzner (Orléans) MSC: 46L05 47B48 17C65 PDFBibTeX XMLCite \textit{T. Kochanek}, J. Funct. Anal. 281, No. 2, Article ID 109025, 49 p. (2021; Zbl 1478.46051) Full Text: DOI arXiv
Ghazouani, Sami Algebraic approach to the Dunkl-Coulomb problem and Dunkl oscillator in arbitrary dimensions. (English) Zbl 1480.81066 Anal. Math. Phys. 11, No. 1, Paper No. 35, 99 p. (2021). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 81R12 17B80 22E46 22E70 33C52 33C45 33C55 33C67 PDFBibTeX XMLCite \textit{S. Ghazouani}, Anal. Math. Phys. 11, No. 1, Paper No. 35, 99 p. (2021; Zbl 1480.81066) Full Text: DOI
Celeghini, Enrico; del Olmo, Mariano A.; Velasco, Miguel A. Jacobi polynomials as \(su(2, 2)\) unitary irreducible representation. (English) Zbl 1439.17012 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 267-283 (2019). MSC: 17B15 17B81 33C45 33C52 PDFBibTeX XMLCite \textit{E. Celeghini} et al., in: Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27--30, 2017. Cham: Springer. 267--283 (2019; Zbl 1439.17012) Full Text: DOI
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. (English) Zbl 1377.81071 Adv. Math. 323, 486-528 (2018). MSC: 81R50 17B37 22E47 35Q53 PDFBibTeX XMLCite \textit{N. Reshetikhin} et al., Adv. Math. 323, 486--528 (2018; Zbl 1377.81071) Full Text: DOI arXiv
Aldenhoven, Noud; Koelink, Erik; Román, Pablo Matrix-valued orthogonal polynomials related to the quantum analogue of \((\mathrm{SU}(2) \times \mathrm{SU}(2), \text{diag})\). (English) Zbl 1433.17013 Ramanujan J. 43, No. 2, 243-311 (2017). MSC: 17B37 33D45 33D80 PDFBibTeX XMLCite \textit{N. Aldenhoven} et al., Ramanujan J. 43, No. 2, 243--311 (2017; Zbl 1433.17013) Full Text: DOI arXiv
Kožić, Slaven Higher level vertex operators for \(U_q \left( \widehat{\mathfrak {sl}}_2\right)\). (English) Zbl 1407.17018 Sel. Math., New Ser. 23, No. 4, 2397-2436 (2017). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{S. Kožić}, Sel. Math., New Ser. 23, No. 4, 2397--2436 (2017; Zbl 1407.17018) Full Text: DOI arXiv
Garza, Luis E.; Marcellán, Francisco Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective. (English) Zbl 1342.42026 Expo. Math. 34, No. 3, 287-326 (2016). MSC: 42C05 15A23 17B80 PDFBibTeX XMLCite \textit{L. E. Garza} and \textit{F. Marcellán}, Expo. Math. 34, No. 3, 287--326 (2016; Zbl 1342.42026) Full Text: DOI
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas Diophantine properties of nilpotent Lie groups. (English) Zbl 1332.22011 Compos. Math. 151, No. 6, 1157-1188 (2015). MSC: 22E25 11K60 17B01 PDFBibTeX XMLCite \textit{M. Aka} et al., Compos. Math. 151, No. 6, 1157--1188 (2015; Zbl 1332.22011) Full Text: DOI arXiv
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. (English) Zbl 1312.81122 Commun. Math. Phys. 336, No. 2, 953-986 (2015). MSC: 81T40 81R12 81Q40 82B20 81R50 17B67 PDFBibTeX XMLCite \textit{N. Reshetikhin} et al., Commun. Math. Phys. 336, No. 2, 953--986 (2015; Zbl 1312.81122) Full Text: DOI arXiv
Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei Bannai-Ito polynomials and dressing chains. (English) Zbl 1304.42063 Proc. Am. Math. Soc. 142, No. 12, 4191-4206 (2014). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 17B80 33C45 47B36 PDFBibTeX XMLCite \textit{M. Derevyagin} et al., Proc. Am. Math. Soc. 142, No. 12, 4191--4206 (2014; Zbl 1304.42063) Full Text: DOI arXiv
Groenevelt, Wolter Coupling coefficients for tensor product representations of quantum \(\mathrm{SU}(2)\). (English) Zbl 1308.17017 J. Math. Phys. 55, No. 10, 101702, 35 p. (2014). Reviewer: Francesco D’Andrea (Roma) MSC: 17B37 33D80 16T05 PDFBibTeX XMLCite \textit{W. Groenevelt}, J. Math. Phys. 55, No. 10, 101702, 35 p. (2014; Zbl 1308.17017) Full Text: DOI arXiv
Kim, Seong Sik; Rassias, John Michael; Cho, Yeol Je; Kim, Soo Hawn Stability of \(n\)-Lie homomorphisms and Jordan \(n\)-Lie homomorphisms on \(n\)-Lie algebras. (English) Zbl 1366.39020 J. Math. Phys. 54, No. 5, 053501, 7 p. (2013). MSC: 39B82 17A42 PDFBibTeX XMLCite \textit{S. S. Kim} et al., J. Math. Phys. 54, No. 5, 053501, 7 p. (2013; Zbl 1366.39020) Full Text: DOI
Gade, R. M. Tensor products of \(U^{\prime }_q\left( \widehat{sl}(2)\right)\)-modules and the big \(q^2\)-Jacobi function transform. (English) Zbl 1280.81070 J. Math. Phys. 54, No. 1, 013520, 62 p. (2013). MSC: 81R50 17B37 33C45 65Q30 PDFBibTeX XMLCite \textit{R. M. Gade}, J. Math. Phys. 54, No. 1, 013520, 62 p. (2013; Zbl 1280.81070) Full Text: DOI
Ostrovska, Sofiya A survey of results on the limit \(q\)-Bernstein operator. (English) Zbl 1268.81094 J. Appl. Math. 2013, Article ID 159720, 7 p. (2013). MSC: 81R50 17B37 81R30 41A17 14F10 PDFBibTeX XMLCite \textit{S. Ostrovska}, J. Appl. Math. 2013, Article ID 159720, 7 p. (2013; Zbl 1268.81094) Full Text: DOI
Eshaghi Gordji, M.; Ghobadipour, N. Stability of \((\alpha,\beta,\gamma)\)-derivatives on Lie \(C^*\)-algebras. (English) Zbl 1217.39034 Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1093-1102 (2010). Reviewer: Camillo Trapani (Palermo) MSC: 39B82 39B52 46K70 46L57 17B40 17B60 PDFBibTeX XMLCite \textit{M. Eshaghi Gordji} and \textit{N. Ghobadipour}, Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1093--1102 (2010; Zbl 1217.39034) Full Text: DOI arXiv
Ito, Masahiko; Tsubouchi, Asako Bailey type summation formulas associated with the root system \(G_{2}^{\vee}\). (English) Zbl 1257.33040 Ramanujan J. 22, No. 3, 231-248 (2010). MSC: 33D15 33D67 17B22 PDFBibTeX XMLCite \textit{M. Ito} and \textit{A. Tsubouchi}, Ramanujan J. 22, No. 3, 231--248 (2010; Zbl 1257.33040) Full Text: DOI
Biane, Philippe; Bougerol, Philippe; O’Connell, Neil Continuous crystal and Duistermaat-Heckman measure for Coxeter groups. (English) Zbl 1252.20037 Adv. Math. 221, No. 5, 1522-1583 (2009). MSC: 20F55 17B37 17B10 60J65 PDFBibTeX XMLCite \textit{P. Biane} et al., Adv. Math. 221, No. 5, 1522--1583 (2009; Zbl 1252.20037) Full Text: DOI arXiv
Park, Choonkil; An, Jong Su; Cui, Jianlian Isomorphisms and derivations in Lie \(C^{\ast}\)-algebras. (English) Zbl 1161.46044 Abstr. Appl. Anal. 2007, Article ID 85737, 14 p. (2007). Reviewer: Andrzej Smajdor (Kraków) MSC: 46L99 39B82 17B40 PDFBibTeX XMLCite \textit{C. Park} et al., Abstr. Appl. Anal. 2007, Article ID 85737, 14 p. (2007; Zbl 1161.46044) Full Text: DOI EuDML
Sergeev, A. Enveloping superalgebra \(U(\mathfrak{osp}(1\mid 2))\) and orthogonal polynomials in discrete indeterminate. (English) Zbl 1049.17009 J. Nonlinear Math. Phys. 8, No. 2, 229-255 (2001). MSC: 17B35 33C45 PDFBibTeX XMLCite \textit{A. Sergeev}, J. Nonlinear Math. Phys. 8, No. 2, 229--255 (2001; Zbl 1049.17009) Full Text: DOI arXiv
Koelink, H. T. The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function. (English) Zbl 0814.33011 Duke Math. J. 76, No. 2, 483-508 (1994). Reviewer: H.Exton (Dunrossness) MSC: 33D15 33D45 33D80 17B37 16W30 PDFBibTeX XMLCite \textit{H. T. Koelink}, Duke Math. J. 76, No. 2, 483--508 (1994; Zbl 0814.33011) Full Text: DOI