An Elliptic Hypergeometric Function Approach to Branching Rules

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Lee, Chul-hee, Rains, Eric M., Warnaar, S. Ole
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211077
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: An Elliptic Hypergeometric Function Approach to Branching Rules. Chul-hee Lee, Eric M. Rains and S. Ole Warnaar. SIGMA 16 (2020), 142, 52 pages

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 partitio...