Elliptic Littlewood identities

DOI10.1016/j.jcta.2012.03.001zbMath1263.33011arXiv0806.0871OpenAlexW2024856816MaRDI QIDQ439064

Eric M. Rains

Publication date: 1 August 2012

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0871

zbMATH Keywords

Macdonald polynomialsKoornwinder polynomialselliptic special functionsquadratic transformation

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Elliptic functions and integrals (33E05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation, Determinantal elliptic Selberg integrals, Multidimensional matrix inversions and elliptic hypergeometric series on root systems, Multivariate quadratic transformations and the interpolation kernel, AFLT-type Selberg integrals, Elliptically distributed lozenge tilings of a hexagon, Branching rules for symmetric functions and \(\mathfrak{sl}_n\) basic hypergeometric series, Elliptic hypergeometry of supersymmetric dualities, SO(N) restricted Schur polynomials, An elliptic hypergeometric function approach to branching rules, Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series, Bounded Littlewood identities

Cites Work

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