On the trace of Coxeter elements
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909406531158016 |
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| author | Lusztig, G. |
| author_facet | Lusztig, G. |
| contents | Let W be a Weyl group and let w be a Coxeter elememt of minimal length of W. In the early 1970's I.G.Macdonald stated that the trace of w on an irreducible representation of W is 0,1 or -1. In this paper we give a proof of this statement and of an Iwahori-Hecke algebra version of it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18495 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the trace of Coxeter elements Lusztig, G. Representation Theory Let W be a Weyl group and let w be a Coxeter elememt of minimal length of W. In the early 1970's I.G.Macdonald stated that the trace of w on an irreducible representation of W is 0,1 or -1. In this paper we give a proof of this statement and of an Iwahori-Hecke algebra version of it. |
| title | On the trace of Coxeter elements |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2411.18495 |