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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 142, 52 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.142 (Mi sigma1678) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Elliptic Hypergeometric Function Approach to Branching Rules

Chul-hee Leea, Eric M. Rainsb, S. Ole Warnaarc

a School of Mathematics, Korea Institute for Advanced Study, Seoul 02455, Korea
b Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
c School of Mathematics and Physics, The University of Queensland, Brisbane, QLD 4072, Australia
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DOI: https://doi.org/10.3842/SIGMA.2020.142
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.
Keywords: branching formulas, elliptic hypergeometric series, elliptic Selberg integrals, interpolation functions, Koornwinder polynomials, Littlewood identities, Macdonald polynomials.
Funding agency Grant number
Australian Research Council DP170102648
Korea Institute for Advanced Study MG067302
This work was supported by the Australian Research Council Discovery Grant DP170102648 and a KIAS Individual Grant (MG067302) at Korea Institute for Advanced Study.
Received: July 8, 2020; in final form December 9, 2020; Published online December 23, 2020
Bibliographic databases:
Document Type: Article
MSC: 05E05, 05E10, 20C33, 33D05, 33D52, 33D67
Language: English
Citation: Chul-hee Lee, Eric M. Rains, S. Ole Warnaar, “An Elliptic Hypergeometric Function Approach to Branching Rules”, SIGMA, 16 (2020), 142, 52 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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