Strata of Weyl groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910032864477184 |
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| author | Lusztig, G. |
| author_facet | Lusztig, G. |
| contents | A Weyl group W is a union of strata (certain subsets which are unions of conjugacy classes) which are the nonempty fibres of a map from W to the set of irreducible representations of W. We give an explicit description of strata in terms of a certain modified centralizer group. We also define superstrata of a connected reductive group and state a conjecture about them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21870 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strata of Weyl groups Lusztig, G. Representation Theory Group Theory A Weyl group W is a union of strata (certain subsets which are unions of conjugacy classes) which are the nonempty fibres of a map from W to the set of irreducible representations of W. We give an explicit description of strata in terms of a certain modified centralizer group. We also define superstrata of a connected reductive group and state a conjecture about them. |
| title | Strata of Weyl groups |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2602.21870 |