On the cohomology of finite tensor categories
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908986842808320 |
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| author | Bergh, Petter Andreas |
| author_facet | Bergh, Petter Andreas |
| contents | It has been conjectured that finite tensor categories have finitely generated cohomology. We show that this is equivalent to finitely generated Hochschild cohomology for the endomorphism algebras of the projective generators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20491 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the cohomology of finite tensor categories Bergh, Petter Andreas Quantum Algebra K-Theory and Homology Representation Theory 16E40, 16T05, 18G15, 18M05 It has been conjectured that finite tensor categories have finitely generated cohomology. We show that this is equivalent to finitely generated Hochschild cohomology for the endomorphism algebras of the projective generators. |
| title | On the cohomology of finite tensor categories |
| topic | Quantum Algebra K-Theory and Homology Representation Theory 16E40, 16T05, 18G15, 18M05 |
| url | https://arxiv.org/abs/2604.20491 |