An Elliptic Hypergeometric Function Approach to Branching Rules

Symmetry Integrability and Geometry-Methods and Applications

article

Chul-hee Lee¹  Eric M. Rains²  S. Ole Warnaar³ 

[1] School of Mathematics, Korea Institute for Advanced Study;Department of Mathematics, California Institute of Technology;School of Mathematics and Physics, The University of Queensland

关键词: branching formulas;    elliptic hypergeometric series;    elliptic Selberg integrals;    interpolation functions;    Koornwinder polynomials;    Littlewood identities;    Macdonald polynomials;   

DOI  :  10.3842/SIGMA.2020.142

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown