On affine Lusztig varieties
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909339242987520 |
|---|---|
| author | He, Xuhua |
| author_facet | He, Xuhua |
| contents | Affine Lusztig varieties encode the orbital integrals of Iwahori--Hecke functions and serve as building blocks for the (conjectural) theory of affine character sheaves. We establish a close relationship between affine Lusztig varieties and affine Deligne--Lusztig varieties. Consequently, we give an explicit nonemptiness pattern and dimension formula for affine Lusztig varieties in most cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_03203 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On affine Lusztig varieties He, Xuhua Representation Theory Algebraic Geometry Number Theory 22E35, 22E67 Affine Lusztig varieties encode the orbital integrals of Iwahori--Hecke functions and serve as building blocks for the (conjectural) theory of affine character sheaves. We establish a close relationship between affine Lusztig varieties and affine Deligne--Lusztig varieties. Consequently, we give an explicit nonemptiness pattern and dimension formula for affine Lusztig varieties in most cases. |
| title | On affine Lusztig varieties |
| topic | Representation Theory Algebraic Geometry Number Theory 22E35, 22E67 |
| url | https://arxiv.org/abs/2302.03203 |