Cohomology of Pointed Finite Tensor Categories
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912886153019392 |
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| author | Li, Bowen Liu, Gongxiang |
| author_facet | Li, Bowen Liu, Gongxiang |
| contents | We consider the finite generation property for cohomology algebra of pointed finite tensor categories via de-equivariantization and exact sequence of finite tensor categories. As a result, we prove that all coradically graded pointed finite tensor categories over abelian groups have finitely generated cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09549 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology of Pointed Finite Tensor Categories Li, Bowen Liu, Gongxiang Quantum Algebra Representation Theory 18G15, 16T05 We consider the finite generation property for cohomology algebra of pointed finite tensor categories via de-equivariantization and exact sequence of finite tensor categories. As a result, we prove that all coradically graded pointed finite tensor categories over abelian groups have finitely generated cohomology. |
| title | Cohomology of Pointed Finite Tensor Categories |
| topic | Quantum Algebra Representation Theory 18G15, 16T05 |
| url | https://arxiv.org/abs/2410.09549 |