van Diejen, J. F. A Pieri formula for the characters of complex simple Lie algebras. (English) Zbl 07815443 Transform. Groups 29, No. 1, 47-75 (2024). MSC: 17B10 05E05 05E10 17B20 22E46 33C52 PDFBibTeX XMLCite \textit{J. F. van Diejen}, Transform. Groups 29, No. 1, 47--75 (2024; Zbl 07815443) Full Text: DOI
Labriet, Q.; Poulain d’Andecy, L. Identities for Rankin-Cohen brackets, Racah coefficients and associativity. (English) Zbl 07801972 Lett. Math. Phys. 114, No. 1, Paper No. 20, 17 p. (2024). MSC: 17B10 33C45 PDFBibTeX XMLCite \textit{Q. Labriet} and \textit{L. Poulain d'Andecy}, Lett. Math. Phys. 114, No. 1, Paper No. 20, 17 p. (2024; Zbl 07801972) 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
Liu, Fu; Hu, Naihong; Jing, Naihuan Quantum supergroup \(U_{r,s}(osp(1,2))\), Scasimir operators and Dickson polynomials. (English) Zbl 07773264 J. Algebra Appl. 23, No. 1, Article ID 2450003, 18 p. (2024). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 20G42 33C47 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Algebra Appl. 23, No. 1, Article ID 2450003, 18 p. (2024; Zbl 07773264) Full Text: DOI arXiv
Kato, Masaki On \(q\)-analogues of zeta functions of root systems. II. (English) Zbl 07800640 Tokyo J. Math. 46, No. 2, 491-522 (2023). MSC: 33C52 05A30 17B22 PDFBibTeX XMLCite \textit{M. Kato}, Tokyo J. Math. 46, No. 2, 491--522 (2023; Zbl 07800640) Full Text: DOI
Hounkonnou, Mahouton Norbert; Melong, Fridolin Quantum polynomials from deformed quantum algebras: probability distributions, generating functions and difference equations. (English) Zbl 07778494 Rev. Math. Phys. 35, No. 9, Article ID 2350019, 58 p. (2023). MSC: 33C45 33D45 17B37 81Q50 PDFBibTeX XMLCite \textit{M. N. Hounkonnou} and \textit{F. Melong}, Rev. Math. Phys. 35, No. 9, Article ID 2350019, 58 p. (2023; Zbl 07778494) Full Text: DOI
Dunkl, Charles F. The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions. (English) Zbl 07735305 J. Phys. A, Math. Theor. 56, No. 37, Article ID 375301, 23 p. (2023). MSC: 81R05 70H05 35J05 20F55 20B30 22E70 17B22 05A15 28C20 42C05 PDFBibTeX XMLCite \textit{C. F. Dunkl}, J. Phys. A, Math. Theor. 56, No. 37, Article ID 375301, 23 p. (2023; Zbl 07735305) Full Text: DOI arXiv
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
Aprile, Francesco; Heslop, Paul Superconformal blocks in diverse dimensions and BC symmetric functions. (English) Zbl 07727587 Commun. Math. Phys. 402, No. 2, 995-1101 (2023). MSC: 81T60 81T40 62H20 05E05 17B22 53C18 33C45 03C45 83C80 PDFBibTeX XMLCite \textit{F. Aprile} and \textit{P. Heslop}, Commun. Math. Phys. 402, No. 2, 995--1101 (2023; Zbl 07727587) Full Text: DOI arXiv
Artamonov, D. V. Classical \(6j\)-symbols of finite-dimensional representations of the algebra \(\mathfrak{gl}_3\). (English. Russian original) Zbl 07723443 Theor. Math. Phys. 216, No. 1, 909-923 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 3-19 (2023). MSC: 17Bxx 33C45 PDFBibTeX XMLCite \textit{D. V. Artamonov}, Theor. Math. Phys. 216, No. 1, 909--923 (2023; Zbl 07723443); translation from Teor. Mat. Fiz. 216, No. 1, 3--19 (2023) Full Text: DOI
Liu, Fan; Mironov, A.; Mishnyakov, V.; Morozov, A.; Popolitov, A.; Wang, Rui; Zhao, Wei-Zhong \((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functions. (English) Zbl 07715498 Nucl. Phys., B 993, Article ID 116283, 15 p. (2023). MSC: 81R10 33D52 17B67 PDFBibTeX XMLCite \textit{F. Liu} et al., Nucl. Phys., B 993, Article ID 116283, 15 p. (2023; Zbl 07715498) Full Text: DOI arXiv
Back, Allen; Oersted, Bent; Sahi, Siddhartha; Speh, Birgit Askey-Wilson polynomials and branching laws. (English) Zbl 07700640 J. Lie Theory 33, No. 1, 29-77 (2023). MSC: 33D80 33D45 22E47 17B37 PDFBibTeX XMLCite \textit{A. Back} et al., J. Lie Theory 33, No. 1, 29--77 (2023; Zbl 07700640) Full Text: arXiv Link
Groenevelt, Wolter; Koelink, Erik Orthogonal functions related to Lax pairs in Lie algebras. (English) Zbl 07695114 Ramanujan J. 61, No. 2, 445-474 (2023). MSC: 33C80 33C45 17B80 37J37 37J38 PDFBibTeX XMLCite \textit{W. Groenevelt} and \textit{E. Koelink}, Ramanujan J. 61, No. 2, 445--474 (2023; Zbl 07695114) Full Text: DOI arXiv
Dunkl, Charles F. A superpolynomial version of nonsymmetric Jack polynomials. (English) Zbl 1518.33008 Ramanujan J. 61, No. 1, 203-236 (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 33C52 20C30 17A70 81Q80 PDFBibTeX XMLCite \textit{C. F. Dunkl}, Ramanujan J. 61, No. 1, 203--236 (2023; Zbl 1518.33008) Full Text: DOI arXiv
Li, Wenxin; Lian, Pan The Fourier transform associated to the \(k\)-hyperbolic Dirac operator. (English) Zbl 07687966 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 26, 20 p. (2023). MSC: 47E07 43A32 42A38 15A66 17B10 17B65 33C45 33C80 33C50 26A33 PDFBibTeX XMLCite \textit{W. Li} and \textit{P. Lian}, Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 26, 20 p. (2023; Zbl 07687966) Full Text: DOI
Crampé, Nicolas; Poulain d’Andecy, Loïc; Vinet, Luc; Zaimi, Meri Askey-Wilson braid algebra and centralizer of \(U_q (\mathfrak{sl}_2)\). (English) Zbl 07685694 Ann. Henri Poincaré 24, No. 6, 1897-1922 (2023). MSC: 17B37 81R50 33C45 PDFBibTeX XMLCite \textit{N. Crampé} et al., Ann. Henri Poincaré 24, No. 6, 1897--1922 (2023; Zbl 07685694) Full Text: DOI arXiv
Makedonskyi, Ievgen Semi-infinite Plücker relations and arcs over toric degeneration. (English) Zbl 1523.17020 Math. Res. Lett. 29, No. 5, 1499-1536 (2022). MSC: 17B10 14M15 17B20 22E60 33D52 PDFBibTeX XMLCite \textit{I. Makedonskyi}, Math. Res. Lett. 29, No. 5, 1499--1536 (2023; Zbl 1523.17020) Full Text: DOI arXiv
Lenart, Cristian; Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type. (English) Zbl 07681928 Adv. Math. 423, Article ID 109037, 63 p. (2023). MSC: 20C08 17B37 14M15 14N15 33D52 81R10 PDFBibTeX XMLCite \textit{C. Lenart} et al., Adv. Math. 423, Article ID 109037, 63 p. (2023; Zbl 07681928) Full Text: DOI arXiv
Feigin, Evgeny; Khoroshkin, Anton; Makedonskyi, Ievgen Parahoric Lie algebras and parasymmetric Macdonald polynomials. arXiv:2311.12673 Preprint, arXiv:2311.12673 [math.RT] (2023). MSC: 33D52 17B67 17B55 BibTeX Cite \textit{E. Feigin} et al., ``Parahoric Lie algebras and parasymmetric Macdonald polynomials'', Preprint, arXiv:2311.12673 [math.RT] (2023) Full Text: arXiv OA License
Metzlaff, Tobias On symmetry adapted bases in trigonometric optimization. arXiv:2310.05519 Preprint, arXiv:2310.05519 [math.OC] (2023). MSC: 05C15 17B22 33C52 52C07 90C23 BibTeX Cite \textit{T. Metzlaff}, ``On symmetry adapted bases in trigonometric optimization'', Preprint, arXiv:2310.05519 [math.OC] (2023) Full Text: arXiv OA License
Amiri, Manouchehr Differential Operator Representation of sl (2, R) as Modules over Univariate and Bivariate Hermite Polynomials. arXiv:2309.03916 Preprint, arXiv:2309.03916 [math.GM] (2023). MSC: 33C45 17B10 BibTeX Cite \textit{M. Amiri}, ``Differential Operator Representation of sl (2, R) as Modules over Univariate and Bivariate Hermite Polynomials'', Preprint, arXiv:2309.03916 [math.GM] (2023) Full Text: arXiv OA License
van Diejen, Jan Felipe; Emsiz, Erdal; Zurrián, Ignacio N. Affine Pieri rule for periodic Macdonald spherical functions and fusion rings. arXiv:2305.01931 Preprint, arXiv:2305.01931 [math.RT] (2023). MSC: 05E05 17B67 33D52 33D80 81T40 BibTeX Cite \textit{J. F. van Diejen} et al., ``Affine Pieri rule for periodic Macdonald spherical functions and fusion rings'', Preprint, arXiv:2305.01931 [math.RT] (2023) Full Text: DOI arXiv OA License
Bergeron, Geoffroy; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei The rational Sklyanin algebra and the Wilson and para-Racah polynomials. (English) Zbl 1508.17016 J. Math. Phys. 63, No. 6, Article ID 061704, 14 p. (2022). MSC: 17B37 33C45 33C47 33C80 PDFBibTeX XMLCite \textit{G. Bergeron} et al., J. Math. Phys. 63, No. 6, Article ID 061704, 14 p. (2022; Zbl 1508.17016) Full Text: DOI arXiv
Hubert, Evelyne; Singer, Michael F. Sparse interpolation in terms of multivariate Chebyshev polynomials. (English) Zbl 1504.13009 Found. Comput. Math. 22, No. 6, 1801-1862 (2022). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 13A50 17B10 17B22 30E05 33C52 33F10 68W30 PDFBibTeX XMLCite \textit{E. Hubert} and \textit{M. F. Singer}, Found. Comput. Math. 22, No. 6, 1801--1862 (2022; Zbl 1504.13009) Full Text: DOI arXiv
Koelink, Erik (ed.); Kolb, Stefan (ed.); Reshetikhin, Nicolai (ed.); Vlaar, Bart (ed.) Hypergeometry, integrability and Lie theory. Virtual conference, Lorentz Center, Leiden, the Netherlands, December 7–11, 2020. (English) Zbl 1496.17001 Contemporary Mathematics 780. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6520-9/pbk; 978-1-4704-7134-7/ebook). xii, 347 p. (2022). MSC: 17-06 17B80 33C80 43A90 13-06 13A35 16S38 17B37 17B67 33C60 33C67 33D45 60J60 00B25 00B30 PDFBibTeX XMLCite \textit{E. Koelink} (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) (2022; Zbl 1496.17001) Full Text: DOI
Dong, Shi-Hai; Najafizade, Amene; Panahi, Hossein; Chung, Won Sang; Hassanabadi, Hassan Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature. (English) Zbl 1502.81041 Ann. Phys. 444, Article ID 169014, 17 p. (2022). MSC: 81Q80 35B05 35J93 17B15 42A85 51F15 81R10 81Q12 33C45 47A10 PDFBibTeX XMLCite \textit{S.-H. Dong} et al., Ann. Phys. 444, Article ID 169014, 17 p. (2022; Zbl 1502.81041) Full Text: DOI arXiv
Artamonov, D. V. Formulas for calculating the \(3j\)-symbols of the representations of the Lie algebra \({\mathfrak{gl}}_3\) for the Gelfand-Tsetlin bases. (English. Russian original) Zbl 1503.17015 Sib. Math. J. 63, No. 4, 595-610 (2022); translation from Sib. Mat. Zh. 63, No. 4, 717-735 (2022). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 17B10 33C45 PDFBibTeX XMLCite \textit{D. V. Artamonov}, Sib. Math. J. 63, No. 4, 595--610 (2022; Zbl 1503.17015); translation from Sib. Mat. Zh. 63, No. 4, 717--735 (2022) Full Text: DOI
Toppan, Francesco First quantization of braided Majorana fermions. (English) Zbl 1497.81022 Nucl. Phys., B 980, Article ID 115834, 14 p. (2022). MSC: 81P40 81P45 81V72 81P16 81S08 16T05 17A70 33C52 18M15 PDFBibTeX XMLCite \textit{F. Toppan}, Nucl. Phys., B 980, Article ID 115834, 14 p. (2022; Zbl 1497.81022) Full Text: DOI arXiv
Artamonov, D. V. Functional approach to a Gelfand-Tsetlin-type basis for \(\mathfrak{o}_5\). (English. Russian original) Zbl 1515.17015 Theor. Math. Phys. 211, No. 1, 443-459 (2022); translation from Teor. Mat. Fiz. 211, No. 1, 3-22 (2022). MSC: 17B10 33C45 PDFBibTeX XMLCite \textit{D. V. Artamonov}, Theor. Math. Phys. 211, No. 1, 443--459 (2022; Zbl 1515.17015); translation from Teor. Mat. Fiz. 211, No. 1, 3--22 (2022) Full Text: DOI arXiv
Lu, Dao-Ming Construction of Touchard polynomial’s photon added squeezing vacuum state and its nonclassical properties. (English) Zbl 1486.81136 Int. J. Theor. Phys. 61, No. 2, Paper No. 48, 9 p. (2022). MSC: 81R30 81V80 81S30 33C45 17B63 PDFBibTeX XMLCite \textit{D.-M. Lu}, Int. J. Theor. Phys. 61, No. 2, Paper No. 48, 9 p. (2022; Zbl 1486.81136) Full Text: DOI
Crampé, Nicolas; Vinet, Luc; Zaimi, Meri Braid group and \(q\)-Racah polynomials. (English) Zbl 1486.17025 Proc. Am. Math. Soc. 150, No. 3, 951-966 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 20F36 33C45 PDFBibTeX XMLCite \textit{N. Crampé} et al., Proc. Am. Math. Soc. 150, No. 3, 951--966 (2022; Zbl 1486.17025) Full Text: DOI arXiv
Morales, John Vincent S. Linking the special orthogonal algebra \(\mathfrak{so}_4\) and the tetrahedron algebra \(\boxtimes \). (English) Zbl 1491.17016 Linear Algebra Appl. 637, 212-239 (2022). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B65 33C45 PDFBibTeX XMLCite \textit{J. V. S. Morales}, Linear Algebra Appl. 637, 212--239 (2022; Zbl 1491.17016) Full Text: DOI
Hubert, Evelyne; Metzlaff, Tobias; Riener, Cordian Orbit spaces of Weyl groups acting on compact tori: a unified and explicit polynomial description. arXiv:2203.13152 Preprint, arXiv:2203.13152 [math.AG] (2022). MSC: 13A50 14P10 17B22 33C52 BibTeX Cite \textit{E. Hubert} et al., ``Orbit spaces of Weyl groups acting on compact tori: a unified and explicit polynomial description'', Preprint, arXiv:2203.13152 [math.AG] (2022) Full Text: arXiv OA License
Nazarov, Anton; Nikitin, Pavel; Sarafannikov, Daniil Skew Howe duality and q-Krawtchouk polynomial ensemble. arXiv:2208.10331 Preprint, arXiv:2208.10331 [math.RT] (2022). MSC: 22E46 33C45 05E05 60G55 60B10 17B10 BibTeX Cite \textit{A. Nazarov} et al., ``Skew Howe duality and q-Krawtchouk polynomial ensemble'', Preprint, arXiv:2208.10331 [math.RT] (2022) Full Text: arXiv OA License
Crampé, Nicolas; Frappat, Luc; Gaboriaud, Julien; Poulain d’Andecy, Loïc; Ragoucy, Eric; Vinet, Luc The Askey-Wilson algebra and its avatars. (English) Zbl 1519.81276 J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021). MSC: 81R05 33D45 17B37 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021; Zbl 1519.81276) Full Text: DOI arXiv
De Bie, Hendrik; Iliev, Plamen; van de Vijver, Wouter; Vinet, Luc The Racah algebra: an overview and recent results. (English) Zbl 1497.81062 Adamović, Dražen (ed.) et al., Lie groups, number theory, and vertex algebras. Representation theory XVI. Conference, Inter-University Center, Dubrovnik, Croatia, June 24–29, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 768, 3-20 (2021). MSC: 81R12 33C45 33C80 33C50 17B10 PDFBibTeX XMLCite \textit{H. De Bie} et al., Contemp. Math. 768, 3--20 (2021; Zbl 1497.81062) Full Text: DOI arXiv
Gonin, Roman; Tsymbaliuk, Alexander On Sevostyanov’s construction of quantum difference Toda lattices. (English) Zbl 1491.17011 Int. Math. Res. Not. 2021, No. 12, 8885-8945 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 33D52 37K10 PDFBibTeX XMLCite \textit{R. Gonin} and \textit{A. Tsymbaliuk}, Int. Math. Res. Not. 2021, No. 12, 8885--8945 (2021; Zbl 1491.17011) Full Text: DOI arXiv
van Diejen, J. F.; Emsiz, E.; Zurrián, I. N. Affine Pieri rule for periodic Macdonald spherical functions and fusion rings. (English) Zbl 1476.05206 Adv. Math. 392, Article ID 108027, 30 p. (2021). MSC: 05E10 05E05 14N15 17B67 33D52 33D80 81T40 20C08 PDFBibTeX XMLCite \textit{J. F. van Diejen} et al., Adv. Math. 392, Article ID 108027, 30 p. (2021; Zbl 1476.05206) Full Text: DOI
Crampé, Nicolas; Kabakibo, Dounia Shaaban; Vinet, Luc New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras. (English) Zbl 1486.33019 Rev. Math. Phys. 33, No. 2, Article ID 2150002, 15 p. (2021). MSC: 33C80 17B37 81R50 PDFBibTeX XMLCite \textit{N. Crampé} et al., Rev. Math. Phys. 33, No. 2, Article ID 2150002, 15 p. (2021; Zbl 1486.33019) Full Text: DOI arXiv
Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane Howe duality and algebras of the Askey-Wilson type: an overview. (English) Zbl 1492.17015 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 225-233 (2021). Reviewer: Dwight Williams II (New York) MSC: 17B37 16T20 17A45 17A70 33C52 81R05 33D45 PDFBibTeX XMLCite \textit{J. Gaboriaud} et al., in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 225--233 (2021; Zbl 1492.17015) Full Text: DOI arXiv
Groenevelt, Wolter A quantum algebra approach to multivariate Askey-Wilson polynomials. (English) Zbl 1470.81038 Int. Math. Res. Not. 2021, No. 5, 3224-3266 (2021). MSC: 81R50 17B37 17B45 16S10 33C45 62H12 14D21 PDFBibTeX XMLCite \textit{W. Groenevelt}, Int. Math. Res. Not. 2021, No. 5, 3224--3266 (2021; Zbl 1470.81038) Full Text: DOI arXiv
Kouno, Takafumi; Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. I: Minuscule weights in ADE type. (English) Zbl 1527.20003 Forum Math. Sigma 9, Paper No. e51, 25 p. (2021). MSC: 20C08 17B37 14M15 19L47 33D52 81R10 PDFBibTeX XMLCite \textit{T. Kouno} et al., Forum Math. Sigma 9, Paper No. e51, 25 p. (2021; Zbl 1527.20003) Full Text: DOI arXiv
Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds. (English) Zbl 1515.17031 Adv. Math. 387, Article ID 107828, 59 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B37 14N15 14M15 33D52 81R10 PDFBibTeX XMLCite \textit{S. Naito} et al., Adv. Math. 387, Article ID 107828, 59 p. (2021; Zbl 1515.17031) Full Text: DOI arXiv
Kwon, Jae-Hoon; Okado, Masato Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\). (English) Zbl 1467.81044 Commun. Math. Phys. 385, No. 2, 1041-1082 (2021). MSC: 81Q10 81R50 17B37 17B67 42C05 PDFBibTeX XMLCite \textit{J.-H. Kwon} and \textit{M. Okado}, Commun. Math. Phys. 385, No. 2, 1041--1082 (2021; Zbl 1467.81044) Full Text: DOI arXiv
Koshida, Shinji Free field theory and observables of periodic Macdonald processes. (English) Zbl 1471.82014 J. Comb. Theory, Ser. A 182, Article ID 105473, 42 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 82C22 17B80 05E05 33D52 60G55 PDFBibTeX XMLCite \textit{S. Koshida}, J. Comb. Theory, Ser. A 182, Article ID 105473, 42 p. (2021; Zbl 1471.82014) Full Text: DOI arXiv
Garbali, Alexandr; de Gier, Jan The \(R\)-matrix of the quantum toroidal algebra \(U_{q,t}(\overset{..}{gl}_1)\) in the Fock module. (English) Zbl 1476.17006 Commun. Math. Phys. 384, No. 3, 1971-2008 (2021). Reviewer: Stepan Moskaliuk (Kyiv) MSC: 17B37 16T20 33D52 81R12 PDFBibTeX XMLCite \textit{A. Garbali} and \textit{J. de Gier}, Commun. Math. Phys. 384, No. 3, 1971--2008 (2021; Zbl 1476.17006) Full Text: DOI arXiv
Bergeron, Geoffroy; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei Sklyanin-like algebras for \((q\)-)linear grids and \((q\)-)para-Krawtchouk polynomials. (English) Zbl 1456.81265 J. Math. Phys. 62, No. 1, Article ID 013505, 20 p. (2021). MSC: 81R50 17B37 47B40 33D45 PDFBibTeX XMLCite \textit{G. Bergeron} et al., J. Math. Phys. 62, No. 1, Article ID 013505, 20 p. (2021; Zbl 1456.81265) Full Text: DOI arXiv
Roussillon, Julien The Virasoro fusion kernel and Ruijsenaars’ hypergeometric function. (English) Zbl 1456.81400 Lett. Math. Phys. 111, No. 1, Paper No. 7, 28 p. (2021). MSC: 81T40 81Q80 17B60 33C45 81Q10 81R20 17B22 PDFBibTeX XMLCite \textit{J. Roussillon}, Lett. Math. Phys. 111, No. 1, Paper No. 7, 28 p. (2021; Zbl 1456.81400) 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
Bouzeffour, F.; Garayev, M. Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials. (English) Zbl 1456.81206 Anal. Math. Phys. 11, No. 1, Paper No. 17, 16 p. (2021). MSC: 81Q60 81Q35 81Q10 81V72 17B70 51F15 81S05 35P05 33C45 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{M. Garayev}, Anal. Math. Phys. 11, No. 1, Paper No. 17, 16 p. (2021; Zbl 1456.81206) Full Text: DOI arXiv
Feinsilver, Philip Canonical Polynomial Sequences: Inverse Pairs. arXiv:2106.02132 Preprint, arXiv:2106.02132 [math.FA] (2021). MSC: 33C45 05A40 42C05 17B30 BibTeX Cite \textit{P. Feinsilver}, ``Canonical Polynomial Sequences: Inverse Pairs'', Preprint, arXiv:2106.02132 [math.FA] (2021) Full Text: arXiv OA License
Vinet, Luc; Zhedanov, Alexei A note on \(\mathfrak{su}(2)\) models and the biorthogonality of generating functions of Krawtchouk polynomials. arXiv:2104.01430 Preprint, arXiv:2104.01430 [math.RT] (2021). MSC: 33C45 17B10 41A21 BibTeX Cite \textit{L. Vinet} and \textit{A. Zhedanov}, ``A note on $\mathfrak{su}(2)$ models and the biorthogonality of generating functions of Krawtchouk polynomials'', Preprint, arXiv:2104.01430 [math.RT] (2021) Full Text: arXiv OA License
Kubo, Toshihisa; Ørsted, Bent Classification of \(K\)-type formulas for the Heisenberg ultrahyperbolic operator \(\square_s\) for \(\widetilde{SL}(3,\mathbb{R})\) and tridiagonal determinants for local Heun functions. arXiv:2101.06810 Preprint, arXiv:2101.06810 [math.RT] (2021). MSC: 22E46 17B10 05B20 33C05 33C45 33E30 BibTeX Cite \textit{T. Kubo} and \textit{B. Ørsted}, ``Classification of $K$-type formulas for the Heisenberg ultrahyperbolic operator $\square_s$ for $\widetilde{SL}(3,\mathbb{R})$ and tridiagonal determinants for local Heun functions'', Preprint, arXiv:2101.06810 [math.RT] (2021) Full Text: arXiv OA License
Feigin, Evgeny; Makedonskyi, Ievgen Semi-infinite Plücker relations and Weyl modules. (English) Zbl 1476.14082 Int. Math. Res. Not. 2020, No. 14, 4357-4394 (2020). Reviewer: Mee Seong Im (Annapolis) MSC: 14M15 17B10 17B20 22E60 33D52 PDFBibTeX XMLCite \textit{E. Feigin} and \textit{I. Makedonskyi}, Int. Math. Res. Not. 2020, No. 14, 4357--4394 (2020; Zbl 1476.14082) Full Text: DOI arXiv Link
Belavin, Vladimir; Zhakenov, Abay AGT basis in SCFT for c = 3/2 and Uglov polynomials. (English) Zbl 1473.81158 Nucl. Phys., B 958, Article ID 115133, 27 p. (2020). MSC: 81T40 81R15 17B68 33D52 81T60 PDFBibTeX XMLCite \textit{V. Belavin} and \textit{A. Zhakenov}, Nucl. Phys., B 958, Article ID 115133, 27 p. (2020; Zbl 1473.81158) Full Text: DOI arXiv
Lamberti, Lisa Tensor diagrams and Chebyshev polynomials. (English) Zbl 1467.33010 Int. Math. Res. Not. 2020, No. 20, 7218-7278 (2020). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C80 17B37 33C45 PDFBibTeX XMLCite \textit{L. Lamberti}, Int. Math. Res. Not. 2020, No. 20, 7218--7278 (2020; Zbl 1467.33010) Full Text: DOI arXiv
Kato, Syu; Naito, Satoshi; Sagaki, Daisuke Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula. (English) Zbl 1475.17024 Duke Math. J. 169, No. 13, 2421-2500 (2020). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 17B37 14N15 33D52 81R10 PDFBibTeX XMLCite \textit{S. Kato} et al., Duke Math. J. 169, No. 13, 2421--2500 (2020; Zbl 1475.17024) Full Text: DOI arXiv Euclid
Fukuda, Masayuki; Ohkubo, Yusuke; Shiraishi, Jun’ichi Generalized Macdonald functions on Fock tensor spaces and duality formula for changing preferred direction. (English) Zbl 1458.81035 Commun. Math. Phys. 380, No. 1, 1-70 (2020). MSC: 81T13 81T60 33D52 30H20 17B69 PDFBibTeX XMLCite \textit{M. Fukuda} et al., Commun. Math. Phys. 380, No. 1, 1--70 (2020; Zbl 1458.81035) Full Text: DOI arXiv
Cherednik, Ivan; Kato, Syu Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules. (English) Zbl 07258192 Adv. Math. 374, Article ID 107335, 57 p. (2020). MSC: 17B67 17B45 20C08 22E46 33D52 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{S. Kato}, Adv. Math. 374, Article ID 107335, 57 p. (2020; Zbl 07258192) Full Text: DOI arXiv
Muthiah, Dinakar; Puskás, Anna; Whitehead, Ian Correction factors for Kac-Moody groups and \(t\)-deformed root multiplicities. (English) Zbl 1444.22009 Math. Z. 296, No. 1-2, 127-145 (2020). MSC: 22E40 17B22 17B67 20G44 22E67 33D52 PDFBibTeX XMLCite \textit{D. Muthiah} et al., Math. Z. 296, No. 1--2, 127--145 (2020; Zbl 1444.22009) Full Text: DOI arXiv
Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra. (English) Zbl 1436.81070 Ramanujan J. 51, No. 3, 629-648 (2020). MSC: 81R50 81R10 81U15 39A70 33D50 39A13 17B37 PDFBibTeX XMLCite \textit{P. Baseilhac} et al., Ramanujan J. 51, No. 3, 629--648 (2020; Zbl 1436.81070) Full Text: DOI arXiv
Hou, Bo; Zhao, Juan; Hou, Lihang Classical Leonard pairs having LB-TD form. (English) Zbl 1437.15003 Linear Multilinear Algebra 68, No. 3, 622-634 (2020). Reviewer: Janko Marovt (Maribor) MSC: 15A04 33D45 17B37 PDFBibTeX XMLCite \textit{B. Hou} et al., Linear Multilinear Algebra 68, No. 3, 622--634 (2020; Zbl 1437.15003) Full Text: DOI
Crampé, Nicolas; Vinet, Luc; Zhedanov, Alexei Heun algebras of Lie type. (English) Zbl 1452.17024 Proc. Am. Math. Soc. 148, No. 3, 1079-1094 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B60 33C45 33C80 PDFBibTeX XMLCite \textit{N. Crampé} et al., Proc. Am. Math. Soc. 148, No. 3, 1079--1094 (2020; Zbl 1452.17024) Full Text: DOI arXiv
Crampé, Nicolas; Ragoucy, Eric; Vinet, Luc; Zhedanov, Alexei Truncation of the reflection algebra and the Hahn algebra. (English) Zbl 1509.17009 J. Phys. A, Math. Theor. 52, No. 35, Article ID 35LT01, 10 p. (2019). MSC: 17B37 17B80 33C45 20F55 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Phys. A, Math. Theor. 52, No. 35, Article ID 35LT01, 10 p. (2019; Zbl 1509.17009) Full Text: DOI arXiv
Sergeev, Aleksandr Nikolaevich; Zharinov, Egor Dmitrievich Pieri formulae and specialisation of super Jacobi polynomials. (English) Zbl 1472.17037 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 19, No. 4, 377-388 (2019). MSC: 17B10 33D52 PDFBibTeX XMLCite \textit{A. N. Sergeev} and \textit{E. D. Zharinov}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 19, No. 4, 377--388 (2019; Zbl 1472.17037) Full Text: DOI MNR
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
Ohkubo, Yusuke Singular vectors of the Ding-Iohara-Miki algebra. (English. Russian original) Zbl 1432.81044 Theor. Math. Phys. 199, No. 1, 475-500 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 3-32 (2019). MSC: 81R50 17B37 33D52 14D15 81T13 81T40 81T30 PDFBibTeX XMLCite \textit{Y. Ohkubo}, Theor. Math. Phys. 199, No. 1, 475--500 (2019; Zbl 1432.81044); translation from Teor. Mat. Fiz. 199, No. 1, 3--32 (2019) Full Text: DOI
Lyakhovsky, Vladimir D. Chebyshev polynomials and the proper decomposition of functions. (English. Russian original) Zbl 07155030 Theor. Math. Phys. 200, No. 2, 1147-1157 (2019); translation from Teor. Mat. Fiz. 200, No. 2, 259-268 (2019). MSC: 65T50 33D52 17B22 41A50 PDFBibTeX XMLCite \textit{V. D. Lyakhovsky}, Theor. Math. Phys. 200, No. 2, 1147--1157 (2019; Zbl 07155030); translation from Teor. Mat. Fiz. 200, No. 2, 259--268 (2019) Full Text: DOI
Chen, Zhe; Marquette, Ian; Zhang, Yao-Zhong Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras. (English) Zbl 1429.81036 Ann. Phys. 411, Article ID 167970, 14 p. (2019). MSC: 81R12 81Q10 81R05 70H06 70H33 17B45 70S15 42C05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Ann. Phys. 411, Article ID 167970, 14 p. (2019; Zbl 1429.81036) Full Text: DOI arXiv
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
Koelink, Erik; Lemay, Jean-Michel; Vinet, Luc Convolution identities for Dunkl orthogonal polynomials from the \(\mathfrak{o} \mathfrak{s} \mathfrak{p}(1 | 2)\) Lie superalgebra. (English) Zbl 1422.33006 J. Math. Phys. 60, No. 9, 091701, 16 p. (2019). MSC: 33D80 33D45 33C45 33C80 33C20 17A70 16S40 PDFBibTeX XMLCite \textit{E. Koelink} et al., J. Math. Phys. 60, No. 9, 091701, 16 p. (2019; Zbl 1422.33006) Full Text: DOI arXiv
Genest, Vincent X.; Lapointe, Luc; Vinet, Luc \(\mathfrak{osp}(1,2)\) and generalized Bannai-Ito algebras. (English) Zbl 1482.17013 Trans. Am. Math. Soc. 372, No. 6, 4127-4148 (2019). Reviewer: Dwight Williams II (New York) MSC: 17A70 33C52 81R05 17B37 17B20 33D45 PDFBibTeX XMLCite \textit{V. X. Genest} et al., Trans. Am. Math. Soc. 372, No. 6, 4127--4148 (2019; Zbl 1482.17013) Full Text: DOI arXiv
Baseilhac, Pascal; Crampé, Nicolas; Pimenta, Rodrigo A. Higher rank classical analogs of the Askey-Wilson algebra from the \(\mathrm{sl}_N\) Onsager algebra. (English) Zbl 1426.82027 J. Math. Phys. 60, No. 8, 081703, 13 p. (2019). MSC: 82B35 33D45 17B81 17B65 PDFBibTeX XMLCite \textit{P. Baseilhac} et al., J. Math. Phys. 60, No. 8, 081703, 13 p. (2019; Zbl 1426.82027) Full Text: DOI arXiv
Baseilhac, Pascal; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type. (English) Zbl 1423.33027 Ann. Henri Poincaré 20, No. 9, 3091-3112 (2019). MSC: 33D45 33C52 17A45 PDFBibTeX XMLCite \textit{P. Baseilhac} et al., Ann. Henri Poincaré 20, No. 9, 3091--3112 (2019; Zbl 1423.33027) Full Text: DOI arXiv
Naito, Satoshi; Nomoto, Fumihiko; Sagaki, Daisuke Representation-theoretic interpretation of Cherednik-Orr’s recursion formula for the specialization of nonsymmetric Macdonald polynomials at \(t = \infty\). (English) Zbl 1462.17020 Transform. Groups 24, No. 1, 155-191 (2019). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 17B37 17B67 05E10 33D52 PDFBibTeX XMLCite \textit{S. Naito} et al., Transform. Groups 24, No. 1, 155--191 (2019; Zbl 1462.17020) Full Text: DOI
De Bie, Hendrik; Iliev, Plamen; Vinet, Luc Bargmann and Barut-Girardello models for the Racah algebra. (English) Zbl 1406.81046 J. Math. Phys. 60, No. 1, 011701, 13 p. (2019). MSC: 81R12 33C45 33C80 17B81 22E70 PDFBibTeX XMLCite \textit{H. De Bie} et al., J. Math. Phys. 60, No. 1, 011701, 13 p. (2019; Zbl 1406.81046) Full Text: DOI arXiv Link
Cherednik, Ivan; Philipp, Ian Modules over plane curve singularities in any ranks and DAHA. (English) Zbl 1435.14031 J. Algebra 520, 186-236 (2019). Reviewer: Martin Deraux (Gières) MSC: 14H50 17B22 17B45 20C08 20F36 22E50 22E57 30F10 33D52 33D80 57K14 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{I. Philipp}, J. Algebra 520, 186--236 (2019; Zbl 1435.14031) Full Text: DOI arXiv
Takeyama, Yoshihiro On the eigenfunctions for the multi-species \(q\)-boson system. (English) Zbl 1446.17042 Funkc. Ekvacioj, Ser. Int. 61, No. 3, 349-376 (2018). MSC: 17B80 81R12 60K35 33C52 PDFBibTeX XMLCite \textit{Y. Takeyama}, Funkc. Ekvacioj, Ser. Int. 61, No. 3, 349--376 (2018; Zbl 1446.17042) Full Text: DOI arXiv
Biswal, Rekha; Chari, Vyjayanthi; Kus, Deniz Demazure flags, \(q\)-Fibonacci polynomials and hypergeometric series. (English) Zbl 1473.17022 Res. Math. Sci. 5, No. 1, Paper No. 12, 34 p. (2018). MSC: 17B10 05A30 33D52 PDFBibTeX XMLCite \textit{R. Biswal} et al., Res. Math. Sci. 5, No. 1, Paper No. 12, 34 p. (2018; Zbl 1473.17022) Full Text: DOI arXiv
Genest, Vincent X.; Vinet, Luc; Yu, Guo-Fu; Zhedanov, Alexei Supersymmetry of the quantum rotor. (English) Zbl 1411.33016 Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 291-305 (2018). MSC: 33D45 17B37 PDFBibTeX XMLCite \textit{V. X. Genest} et al., Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 291--305 (2018; Zbl 1411.33016) Full Text: DOI arXiv
Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane; Zhedanov, Alexei The Racah algebra as a commutant and Howe duality. (English) Zbl 1411.81112 J. Phys. A, Math. Theor. 51, No. 50, Article ID 50LT01, 8 p. (2018). MSC: 81R12 33C45 17B67 22E70 37K10 PDFBibTeX XMLCite \textit{J. Gaboriaud} et al., J. Phys. A, Math. Theor. 51, No. 50, Article ID 50LT01, 8 p. (2018; Zbl 1411.81112) Full Text: DOI arXiv
Cherednik, Ivan Riemann hypothesis for DAHA superpolynomials and plane curve singularities. (English) Zbl 1422.57015 Commun. Number Theory Phys. 12, No. 3, 409-490 (2018). Reviewer: Hu Jun (Beijing) MSC: 57M25 14H50 20C08 20F36 17B22 33D52 55N10 PDFBibTeX XMLCite \textit{I. Cherednik}, Commun. Number Theory Phys. 12, No. 3, 409--490 (2018; Zbl 1422.57015) Full Text: DOI arXiv
Kato, Syu Demazure character formula for semi-infinite flag varieties. (English) Zbl 1398.14053 Math. Ann. 371, No. 3-4, 1769-1801 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14M15 17B10 33D52 14C35 19A22 16G99 43A40 PDFBibTeX XMLCite \textit{S. Kato}, Math. Ann. 371, No. 3--4, 1769--1801 (2018; Zbl 1398.14053) Full Text: DOI arXiv Link
Amri, Béchir; Bedhiafi, Mounir A formula for the nonsymmetric Opdam hypergeometric function of type \(A_2\). (English) Zbl 1431.33016 Colloq. Math. 153, No. 2, 195-207 (2018). MSC: 33C67 17B22 33D52 PDFBibTeX XMLCite \textit{B. Amri} and \textit{M. Bedhiafi}, Colloq. Math. 153, No. 2, 195--207 (2018; Zbl 1431.33016) Full Text: DOI arXiv
Cox, Ben; Zhao, Kaiming Certain families of polynomials arising in the study of hyperelliptic Lie algebras. (English) Zbl 1436.17031 Ramanujan J. 46, No. 2, 323-344 (2018). MSC: 17B65 14H55 42C10 PDFBibTeX XMLCite \textit{B. Cox} and \textit{K. Zhao}, Ramanujan J. 46, No. 2, 323--344 (2018; Zbl 1436.17031) Full Text: DOI arXiv
Chan, Chuan-Tsung; Mironov, A.; Morozov, A.; Sleptsov, A. Orthogonal polynomials in mathematical physics. (English) Zbl 1393.81018 Rev. Math. Phys. 30, No. 6, Article ID 1840005, 64 p. (2018). MSC: 81R50 17B37 33C45 81R12 81R10 57Q45 17B68 PDFBibTeX XMLCite \textit{C.-T. Chan} et al., Rev. Math. Phys. 30, No. 6, Article ID 1840005, 64 p. (2018; Zbl 1393.81018) Full Text: DOI
Feigin, Evgeny; Makedonskyi, Ievgen; Orr, Daniel Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions. (English) Zbl 1468.33020 Adv. Math. 330, 997-1033 (2018). MSC: 33D52 33C67 16S30 17B10 PDFBibTeX XMLCite \textit{E. Feigin} et al., Adv. Math. 330, 997--1033 (2018; Zbl 1468.33020) Full Text: DOI arXiv
Genest, Vincent X.; Iliev, Plamen; Vinet, Luc Coupling coefficients of \(\operatorname{su}_{q}(1,1)\) and multivariate \(q\)-Racah polynomials. (English) Zbl 1380.81166 Nucl. Phys., B 927, 97-123 (2018). MSC: 81R50 17B37 20G42 33C45 81R12 PDFBibTeX XMLCite \textit{V. X. Genest} et al., Nucl. Phys., B 927, 97--123 (2018; Zbl 1380.81166) Full Text: DOI arXiv
Afra, M.; Fakhri, H.; Sayyah-Fard, M. A reducible Weil representation of \(\text{sp}(4)\) realized by differential operators in the space of smooth functions on \(H^2\times S^1\). (English) Zbl 1422.17016 J. Math. Phys. 59, No. 1, 011701, 12 p. (2018). MSC: 17B15 17B81 33C45 33C47 81R10 81T60 PDFBibTeX XMLCite \textit{M. Afra} et al., J. Math. Phys. 59, No. 1, 011701, 12 p. (2018; Zbl 1422.17016) Full Text: DOI
Naito, Satoshi; Nomoto, Fumihiko; Sagaki, Daisuke Specialization of nonsymmetric Macdonald polynomials at \(t=\infty \) and Demazure submodules of level-zero extremal weight modules. (English) Zbl 1432.17015 Trans. Am. Math. Soc. 370, No. 4, 2739-2783 (2018). MSC: 17B37 33D52 PDFBibTeX XMLCite \textit{S. Naito} et al., Trans. Am. Math. Soc. 370, No. 4, 2739--2783 (2018; Zbl 1432.17015) Full Text: DOI arXiv
Cherednik, Ivan; Philipp, Ian DAHA and plane curve singularities. (English) Zbl 1396.14026 Algebr. Geom. Topol. 18, No. 1, 333-385 (2018). MSC: 14H50 17B22 20F36 33D52 57M25 17B45 20C08 22E50 22E57 30F10 33D80 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{I. Philipp}, Algebr. Geom. Topol. 18, No. 1, 333--385 (2018; Zbl 1396.14026) Full Text: DOI arXiv
Bogolubov, Nikolai N.; Soldatov, Andrey V. Algebraic aspects of the driven dynamics in the density operator and correlation functions calculation for multi-level open quantum systems. (English) Zbl 1447.81148 Int. J. Mod. Phys. B 31, No. 32, Article ID 1850044, 19 p. (2017). MSC: 81S22 81P16 81R15 81V45 17B81 PDFBibTeX XMLCite \textit{N. N. Bogolubov} and \textit{A. V. Soldatov}, Int. J. Mod. Phys. B 31, No. 32, Article ID 1850044, 19 p. (2017; Zbl 1447.81148) Full Text: DOI
Celeghini, Enrico; Del Olmo, Mariano A. Group theoretical aspects of \(L^2(\mathbb{R}^+)\), \(L^2(\mathbb{R}^2)\) and associated Laguerre polynomials. (English) Zbl 1390.81234 Duarte, Sergio (ed.) et al., Physical and mathematical aspects of symmetries. Proceedings of the 31st international colloquium in group theoretical methods in physics, Rio de Janeiro, Brazil, June 19–25, 2016. Cham: Springer (ISBN 978-3-319-69163-3/hbk; 978-3-319-69164-0/ebook). 133-138 (2017). MSC: 81R15 81R05 17B81 20C35 33C45 PDFBibTeX XMLCite \textit{E. Celeghini} and \textit{M. A. Del Olmo}, in: Physical and mathematical aspects of symmetries. Proceedings of the 31st international colloquium in group theoretical methods in physics, Rio de Janeiro, Brazil, June 19--25, 2016. Cham: Springer. 133--138 (2017; Zbl 1390.81234) Full Text: DOI arXiv
Feigin, Evgeny; Makedonskyi, Ievgen Weyl modules for \(\mathfrak{osp}(1, 2)\) and nonsymmetric Macdonald polynomials. (English) Zbl 1416.17013 Math. Res. Lett. 24, No. 3, 741-766 (2017). MSC: 17B65 33D52 16D80 PDFBibTeX XMLCite \textit{E. Feigin} and \textit{I. Makedonskyi}, Math. Res. Lett. 24, No. 3, 741--766 (2017; Zbl 1416.17013) Full Text: DOI arXiv
Venkateswaran, Vidya On the expansion of certain vector-valued characters of \(U_q (\mathfrak{gl}_n)\) with respect to the Gelfand-Tsetlin basis. (English) Zbl 1417.17019 Math. Res. Lett. 24, No. 1, 223-246 (2017). MSC: 17B37 17B10 33D52 33D80 PDFBibTeX XMLCite \textit{V. Venkateswaran}, Math. Res. Lett. 24, No. 1, 223--246 (2017; Zbl 1417.17019) Full Text: DOI arXiv
Escobar Ruiz, Mauricio A.; Miller, Willard jun.; Subag, Eyal Contractions of degenerate quadratic algebras, abstract and geometric. (English) Zbl 1381.22016 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 099, 32 p. (2017). MSC: 22E70 16G99 37J35 37K10 33C45 17B60 81R05 PDFBibTeX XMLCite \textit{M. A. Escobar Ruiz} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 099, 32 p. (2017; Zbl 1381.22016) Full Text: DOI arXiv
Iliev, Plamen The generic quantum superintegrable system on the sphere and Racah operators. (English) Zbl 1375.81130 Lett. Math. Phys. 107, No. 11, 2029-2045 (2017). MSC: 81R12 17B81 33C80 PDFBibTeX XMLCite \textit{P. Iliev}, Lett. Math. Phys. 107, No. 11, 2029--2045 (2017; Zbl 1375.81130) 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
Awata, Hidetoshi; Fujino, Hiroki; Ohkubo, Yusuke Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence. (English) Zbl 1422.17024 J. Math. Phys. 58, No. 7, 071704, 25 p. (2017). MSC: 17B68 17B37 33D52 81R50 PDFBibTeX XMLCite \textit{H. Awata} et al., J. Math. Phys. 58, No. 7, 071704, 25 p. (2017; Zbl 1422.17024) Full Text: DOI arXiv
Lyakhovsky, Vladimir D. Numerical constructions involving Chebyshev polynomials. (English. Russian original) Zbl 1370.17011 Theor. Math. Phys. 190, No. 2, 303-314 (2017); translation from Teor. Mat. Fiz. 190, No. 2, 354-365 (2017). MSC: 17B10 17B20 33C45 PDFBibTeX XMLCite \textit{V. D. Lyakhovsky}, Theor. Math. Phys. 190, No. 2, 303--314 (2017; Zbl 1370.17011); translation from Teor. Mat. Fiz. 190, No. 2, 354--365 (2017) Full Text: DOI