Demazure operators for double cosets
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913186323628032 |
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| author | Elias, Ben Ko, Hankyung Libedinsky, Nicolas Patimo, Leonardo |
| author_facet | Elias, Ben Ko, Hankyung Libedinsky, Nicolas Patimo, Leonardo |
| contents | For any Coxeter system, and any double coset for two standard parabolic subgroups, we introduce a Demazure operator. These operators form a basis for morphism spaces in a category we call the nilCoxeter category, and we also present this category by generators and relations. We prove a generalization to this context of Demazure's celebrated theorem on Frobenius extensions. This generalized theorem serves as a criterion for ensuring the proper behavior of singular Soergel bimodules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15021 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Demazure operators for double cosets Elias, Ben Ko, Hankyung Libedinsky, Nicolas Patimo, Leonardo Representation Theory Combinatorics Rings and Algebras For any Coxeter system, and any double coset for two standard parabolic subgroups, we introduce a Demazure operator. These operators form a basis for morphism spaces in a category we call the nilCoxeter category, and we also present this category by generators and relations. We prove a generalization to this context of Demazure's celebrated theorem on Frobenius extensions. This generalized theorem serves as a criterion for ensuring the proper behavior of singular Soergel bimodules. |
| title | Demazure operators for double cosets |
| topic | Representation Theory Combinatorics Rings and Algebras |
| url | https://arxiv.org/abs/2307.15021 |