Hopf algebras are determined by their monoidal derived categories
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912242528681984 |
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| author | Xu, Yuying Zheng, Junhua |
| author_facet | Xu, Yuying Zheng, Junhua |
| contents | We show that two finite-dimensional Hopf algebras are gauge equivalent if and only if their bounded derived categories are monoidal triangulated equivalent. More generally, a monoidal derived equivalence between locally finite tensor Grothendieck categories induces a monoidal abelian equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16619 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hopf algebras are determined by their monoidal derived categories Xu, Yuying Zheng, Junhua Representation Theory Category Theory Rings and Algebras 16T05, 18G80, 18E10, 16G10, 18M05 We show that two finite-dimensional Hopf algebras are gauge equivalent if and only if their bounded derived categories are monoidal triangulated equivalent. More generally, a monoidal derived equivalence between locally finite tensor Grothendieck categories induces a monoidal abelian equivalence. |
| title | Hopf algebras are determined by their monoidal derived categories |
| topic | Representation Theory Category Theory Rings and Algebras 16T05, 18G80, 18E10, 16G10, 18M05 |
| url | https://arxiv.org/abs/2502.16619 |