Two-sided cells of Weyl groups and certain splitting Whittaker polynomials
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908751424913408 |
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| author | Gao, Fan Qiu, Yannan |
| author_facet | Gao, Fan Qiu, Yannan |
| contents | Consider the subset of a Weyl group with a fixed descent set. For Weyl groups of classical types, we determine the number of two-sided cells this subset intersect. Moreover, we apply this result to prove that certain rational Whittaker polynomials associated with covering groups split over the field of rational numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02350 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Two-sided cells of Weyl groups and certain splitting Whittaker polynomials Gao, Fan Qiu, Yannan Representation Theory Number Theory 20F55, 11F70 (Primary), 22E50 (Secondary) Consider the subset of a Weyl group with a fixed descent set. For Weyl groups of classical types, we determine the number of two-sided cells this subset intersect. Moreover, we apply this result to prove that certain rational Whittaker polynomials associated with covering groups split over the field of rational numbers. |
| title | Two-sided cells of Weyl groups and certain splitting Whittaker polynomials |
| topic | Representation Theory Number Theory 20F55, 11F70 (Primary), 22E50 (Secondary) |
| url | https://arxiv.org/abs/2311.02350 |