Branching rules for symmetric functions and \(\mathfrak{sl}_n\) basic hypergeometric series

DOI10.1016/j.aam.2010.01.012zbMath1227.05261OpenAlexW1832822093MaRDI QIDQ534205

S. Ole Warnaar, Lascoux, Alain

Publication date: 17 May 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2010.01.012

zbMATH Keywords

symmetric functionsmultiple basic hypergeometric seriesmacdonald polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Basic hypergeometric functions associated with root systems (33D67)

Related Items

Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs ⋮ Remarks on the paper ``skew Pieri rules for Hall-Littlewood functions by Konvalinka and Lauve ⋮ Modified Macdonald polynomials and integrability ⋮ An elliptic hypergeometric function approach to branching rules ⋮ A Nekrasov-Okounkov formula for Macdonald polynomials ⋮ The \(R\)-matrix of the quantum toroidal algebra \(U_{q,t}(\overset{..}{gl}_1)\) in the Fock module ⋮ Branching formula for Macdonald-Koornwinder polynomials ⋮ Bounded Littlewood identities

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