The anti-spherical Hecke categories for Hermitian symmetric pairs
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912536343871488 |
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| author | Bowman, Chris De Visscher, Maud Hazi, Amit Norton, Emily |
| author_facet | Bowman, Chris De Visscher, Maud Hazi, Amit Norton, Emily |
| contents | We calculate the $p$-Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We prove that the combinatorial invariance conjecture can be lifted to the level of graded Morita equivalences between subquotients of these Hecke categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_02584 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The anti-spherical Hecke categories for Hermitian symmetric pairs Bowman, Chris De Visscher, Maud Hazi, Amit Norton, Emily Representation Theory Combinatorics We calculate the $p$-Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We prove that the combinatorial invariance conjecture can be lifted to the level of graded Morita equivalences between subquotients of these Hecke categories. |
| title | The anti-spherical Hecke categories for Hermitian symmetric pairs |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2208.02584 |