Published December 23, 2020
| Accepted Version + Published
Journal Article
Open
An Elliptic Hypergeometric Function Approach to Branching Rules
- Creators
- Lee, Chul-hee
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Rains, Eric M.
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Warnaar, S. Ole
Chicago
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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.
Additional Information
© 2020 National Academy of Sciences of Ukraine. This paper is a contribution to the Special Issue on Elliptic Integrable Systems, Special Functions and Quantum Field Theory. The full collection is available at https://www.emis.de/journals/SIGMA/elliptic-integrablesystems.html. We thank one of the referees of our paper for suggesting we compare the branching rule (1.12a) with [15, Conjectures 9.12 and 9.13] by Hoshino and Shiraishi. This work was supported by the Australian Research Council Discovery Grant DP170102648 and a KIAS Individual Grant (MG067302) at Korea Institute for Advanced Study.Attached Files
Published - sigma20-142.pdf
Accepted Version - 2007.03174.pdf
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Additional details
- Eprint ID
- 107664
- Resolver ID
- CaltechAUTHORS:20210122-141416267
- Australian Research Council
- DP170102648
- Korea Institute for Advanced Study
- MG067302
- Created
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2021-01-22Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field