Derived discrete Hopf algebras with the Chevalley property
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910739547029504 |
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| author | Yu, Jing Liu, Gongxiang |
| author_facet | Yu, Jing Liu, Gongxiang |
| contents | We try to classify Hopf algebras with the Chevalley property according to their derived representation type. We show that a finite-dimensional indecomposable non-semisimple Hopf algebra $H$ with the Chevalley property is derived discrete if and only if it is isomorphic to $(A(n, 2, μ, -1))^*$. Besides, we give a description for the indecomposable objects in $\mathcal{D}^b((A(n, 2, μ, -1))^*)$ and determine their tensor products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08093 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derived discrete Hopf algebras with the Chevalley property Yu, Jing Liu, Gongxiang Quantum Algebra Representation Theory 16T05, 18G80, 18M05, 16G10 We try to classify Hopf algebras with the Chevalley property according to their derived representation type. We show that a finite-dimensional indecomposable non-semisimple Hopf algebra $H$ with the Chevalley property is derived discrete if and only if it is isomorphic to $(A(n, 2, μ, -1))^*$. Besides, we give a description for the indecomposable objects in $\mathcal{D}^b((A(n, 2, μ, -1))^*)$ and determine their tensor products. |
| title | Derived discrete Hopf algebras with the Chevalley property |
| topic | Quantum Algebra Representation Theory 16T05, 18G80, 18M05, 16G10 |
| url | https://arxiv.org/abs/2412.08093 |