Positivity for certain Weyl group representations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911379937558528 |
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| author | Lusztig, G. |
| author_facet | Lusztig, G. |
| contents | Let W be a Weyl group. We can define the notion of positivity of a W-module in terms of the corresponding module over the asymptotic Iwahori-Hecke algebra. We state a conjecture which says that certain explicit W-modules are positive and we prove it in the case where W is of classical type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21499 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positivity for certain Weyl group representations Lusztig, G. Representation Theory Let W be a Weyl group. We can define the notion of positivity of a W-module in terms of the corresponding module over the asymptotic Iwahori-Hecke algebra. We state a conjecture which says that certain explicit W-modules are positive and we prove it in the case where W is of classical type. |
| title | Positivity for certain Weyl group representations |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2510.21499 |