An Elliptic Hypergeometric Function Approach to Branching Rules

Chul-hee Lee ; Eric M. Rains ; S. Ole Warnaar

Symmetry, integrability and geometry: methods and applications, Tome 16 (2020)

Résumé

We prove Macdonald-type deformations of a number of well-known classical branching rules by employing identities for elliptic hypergeometric integrals and series. We also propose some conjectural branching rules and allied conjectures exhibiting a novel type of vanishing behaviour involving partitions with empty 2-cores.

Détail

Keywords: branching formulas, elliptic hypergeometric series, elliptic Selberg integrals, interpolation functions, Koornwinder polynomials, Littlewood identities, Macdonald polynomials.

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