On Harish-Chandra's Isomorphism
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918473233334272 |
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| author | Opdam, Eric Toledano-Laredo, Valerio |
| author_facet | Opdam, Eric Toledano-Laredo, Valerio |
| contents | This is the text of a talk given by the first author at the Harish-Chandra centenary meeting held in Allahabad in October 2023. It reviews Harish-Chandra's isomorphism and its many applications to representation theory and mathematical physics. It also announces the existence and uniqueness of nonsymmetric shift operators for an arbitrary root system. These are differential-reflection operators with a transmutation property relative to Dunkl-Cherednik operators: they shift the parameter k of these operators by 1, and restrict on symmetric functions to the hypergeometric shift operators introduced by the first author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17525 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Harish-Chandra's Isomorphism Opdam, Eric Toledano-Laredo, Valerio Representation Theory Quantum Algebra This is the text of a talk given by the first author at the Harish-Chandra centenary meeting held in Allahabad in October 2023. It reviews Harish-Chandra's isomorphism and its many applications to representation theory and mathematical physics. It also announces the existence and uniqueness of nonsymmetric shift operators for an arbitrary root system. These are differential-reflection operators with a transmutation property relative to Dunkl-Cherednik operators: they shift the parameter k of these operators by 1, and restrict on symmetric functions to the hypergeometric shift operators introduced by the first author. |
| title | On Harish-Chandra's Isomorphism |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2412.17525 |