Cuspidal character sheaves on graded Lie algebras
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866914219324080128 |
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| author | Liu, Wille Tsai, Cheng-Chiang Vilonen, Kari Xue, Ting |
| author_facet | Liu, Wille Tsai, Cheng-Chiang Vilonen, Kari Xue, Ting |
| contents | We show in this paper that in the context of graded Lie algebras, all cuspidal character sheaves arise from a nearby-cycle construction followed by a Fourier--Sato transform in a very specific manner. Combined with results of the last two named authors, this completes the classification of cuspidal character sheaves for Vinberg's type I graded classical Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04030 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cuspidal character sheaves on graded Lie algebras Liu, Wille Tsai, Cheng-Chiang Vilonen, Kari Xue, Ting Representation Theory Algebraic Geometry We show in this paper that in the context of graded Lie algebras, all cuspidal character sheaves arise from a nearby-cycle construction followed by a Fourier--Sato transform in a very specific manner. Combined with results of the last two named authors, this completes the classification of cuspidal character sheaves for Vinberg's type I graded classical Lie algebras. |
| title | Cuspidal character sheaves on graded Lie algebras |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2409.04030 |