An Elliptic Hypergeometric Function Approach to Branching Rules
Combinatorics
2020-12-24 v2 Representation Theory
Abstract
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.
Cite
@article{arxiv.2007.03174,
title = {An Elliptic Hypergeometric Function Approach to Branching Rules},
author = {Chul-hee Lee and Eric M. Rains and S. Ole Warnaar},
journal= {arXiv preprint arXiv:2007.03174},
year = {2020}
}