Affine Deligne-Lusztig varieties via the double Bruhat graph II: Iwahori-Hecke algebra
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909776986767360 |
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| author | Schremmer, Felix |
| author_facet | Schremmer, Felix |
| contents | We introduce a new language to describe the geometry of affine Deligne-Lusztig varieties in affine flag varieties. This second part of a two paper series uses this new language, i.e. the double Bruhat graph, to describe certain structure constants of the Iwahori-Hecke algebra. As an application, we describe nonemptiness and dimension of affine Deligne-Lusztig varieties for most elements of the affine Weyl group and arbitrary $σ$-conjugacy classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_06873 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Affine Deligne-Lusztig varieties via the double Bruhat graph II: Iwahori-Hecke algebra Schremmer, Felix Representation Theory Algebraic Geometry 20G25, 11G25, 20C08 We introduce a new language to describe the geometry of affine Deligne-Lusztig varieties in affine flag varieties. This second part of a two paper series uses this new language, i.e. the double Bruhat graph, to describe certain structure constants of the Iwahori-Hecke algebra. As an application, we describe nonemptiness and dimension of affine Deligne-Lusztig varieties for most elements of the affine Weyl group and arbitrary $σ$-conjugacy classes. |
| title | Affine Deligne-Lusztig varieties via the double Bruhat graph II: Iwahori-Hecke algebra |
| topic | Representation Theory Algebraic Geometry 20G25, 11G25, 20C08 |
| url | https://arxiv.org/abs/2306.06873 |