An Elliptic Hypergeometric Function Approach to Branching Rules
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2020 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211077 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | An Elliptic Hypergeometric Function Approach to Branching Rules. Chul-hee Lee, Eric M. Rains and S. Ole Warnaar. SIGMA 16 (2020), 142, 52 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862600167643938816 |
|---|---|
| author | Lee, Chul-hee Rains, Eric M. Warnaar, S. Ole |
| author_facet | Lee, Chul-hee Rains, Eric M. Warnaar, S. Ole |
| citation_txt | An Elliptic Hypergeometric Function Approach to Branching Rules. Chul-hee Lee, Eric M. Rains and S. Ole Warnaar. SIGMA 16 (2020), 142, 52 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-14T02:18:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211077 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T02:18:51Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Lee, Chul-hee Rains, Eric M. Warnaar, S. Ole 2025-12-23T13:11:10Z 2020 An Elliptic Hypergeometric Function Approach to Branching Rules. Chul-hee Lee, Eric M. Rains and S. Ole Warnaar. SIGMA 16 (2020), 142, 52 pages 1815-0659 2020 Mathematics Subject Classification: 05E05; 05E10; 20C33; 33D05; 33D52; 33D67 arXiv:2007.03174 https://nasplib.isofts.kiev.ua/handle/123456789/211077 https://doi.org/10.3842/SIGMA.2020.142 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. 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 the Korea Institute for Advanced Study. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications An Elliptic Hypergeometric Function Approach to Branching Rules Article published earlier |
| spellingShingle | An Elliptic Hypergeometric Function Approach to Branching Rules Lee, Chul-hee Rains, Eric M. Warnaar, S. Ole |
| title | An Elliptic Hypergeometric Function Approach to Branching Rules |
| title_full | An Elliptic Hypergeometric Function Approach to Branching Rules |
| title_fullStr | An Elliptic Hypergeometric Function Approach to Branching Rules |
| title_full_unstemmed | An Elliptic Hypergeometric Function Approach to Branching Rules |
| title_short | An Elliptic Hypergeometric Function Approach to Branching Rules |
| title_sort | elliptic hypergeometric function approach to branching rules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211077 |
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