TITLE |
An Elliptic Hypergeometric Function Approach to Branching Rules |
KIAS AUTHORS |
Lee, Chul-hee,Lee, Chul-hee |
JOURNAL |
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020 |
ARCHIVE |
arXiv:2007.03174
|
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. |