The tt-geometry of permutation modules. Part I: Stratification
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866911067231223808 |
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| author | Balmer, Paul Gallauer, Martin |
| author_facet | Balmer, Paul Gallauer, Martin |
| contents | We consider the derived category of permutation modules over a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We describe the set underlying the tt-spectrum of compact objects, and discuss several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_08311 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The tt-geometry of permutation modules. Part I: Stratification Balmer, Paul Gallauer, Martin Representation Theory Category Theory 18F99, 20C20, 20J06, 18G80 We consider the derived category of permutation modules over a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We describe the set underlying the tt-spectrum of compact objects, and discuss several examples. |
| title | The tt-geometry of permutation modules. Part I: Stratification |
| topic | Representation Theory Category Theory 18F99, 20C20, 20J06, 18G80 |
| url | https://arxiv.org/abs/2210.08311 |