Permutation modules and cohomological singularity
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866909308066725888 |
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| author | Balmer, Paul Gallauer, Martin |
| author_facet | Balmer, Paul Gallauer, Martin |
| contents | We define a new invariant of finitely generated representations of a finite group, with coefficients in a commutative noetherian ring. This invariant uses group cohomology and takes values in the singularity category of the coefficient ring. It detects which representations are controlled by permutation modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_14093 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Permutation modules and cohomological singularity Balmer, Paul Gallauer, Martin Representation Theory Category Theory We define a new invariant of finitely generated representations of a finite group, with coefficients in a commutative noetherian ring. This invariant uses group cohomology and takes values in the singularity category of the coefficient ring. It detects which representations are controlled by permutation modules. |
| title | Permutation modules and cohomological singularity |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/2009.14093 |