期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
An Elliptic Hypergeometric Function Approach to Branching Rules | |
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
【 预 览 】
Files | Size | Format | View |
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RO202106300000584ZK.pdf | 763KB | download |