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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.00540 |
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| _version_ | 1866917852898918400 |
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| author | Geck, Meinolf |
| author_facet | Geck, Meinolf |
| contents | These are unpublished notes from about 1992-1993 which, retrospectively, may be regarded as a complement to Lusztig's recent paper on the trace of Coxeter elements. Our notes include explicit tables for those traces. The proofs rely on a connection with Lusztig's work on Coxeter orbits and eigenspaces of Frobenius, which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The character values of Iwahori--Hecke algebras on Coxeter basis elements Geck, Meinolf Representation Theory These are unpublished notes from about 1992-1993 which, retrospectively, may be regarded as a complement to Lusztig's recent paper on the trace of Coxeter elements. Our notes include explicit tables for those traces. The proofs rely on a connection with Lusztig's work on Coxeter orbits and eigenspaces of Frobenius, which may be of independent interest. |
| title | The character values of Iwahori--Hecke algebras on Coxeter basis elements |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2412.00540 |