Applications of the trace formalism to Deligne-Lusztig theory
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911452067004416 |
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| author | Eteve, Arnaud |
| author_facet | Eteve, Arnaud |
| contents | This paper is a continuation of previous work of the author. We use the categorical trace formalism to give a construction of the categorical Jordan decomposition for representations of finite groups of Lie type. As a second application, we study the endomorphism algebra of the Gelfand-Graev representation and recover a result of Li and Shotton-Li. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Applications of the trace formalism to Deligne-Lusztig theory Eteve, Arnaud Representation Theory Algebraic Geometry This paper is a continuation of previous work of the author. We use the categorical trace formalism to give a construction of the categorical Jordan decomposition for representations of finite groups of Lie type. As a second application, we study the endomorphism algebra of the Gelfand-Graev representation and recover a result of Li and Shotton-Li. |
| title | Applications of the trace formalism to Deligne-Lusztig theory |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2501.04113 |