Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912104783544320 |
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| author | Andruskiewitsch, N. Heckenberger, I. Vendramin, L. |
| author_facet | Andruskiewitsch, N. Heckenberger, I. Vendramin, L. |
| contents | We classify finite-dimensional Nichols algebras of Yetter-Drinfeld modules with indecomposable support over finite solvable groups in characteristic 0, using a variety of methods including reduction to positive characteristic. As a consequence, all Nichols algebras over groups of odd order are of diagonal type, which allows us to describe all pointed Hopf algebras of odd dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02304 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups Andruskiewitsch, N. Heckenberger, I. Vendramin, L. Quantum Algebra Rings and Algebras 16T05, 20F55 We classify finite-dimensional Nichols algebras of Yetter-Drinfeld modules with indecomposable support over finite solvable groups in characteristic 0, using a variety of methods including reduction to positive characteristic. As a consequence, all Nichols algebras over groups of odd order are of diagonal type, which allows us to describe all pointed Hopf algebras of odd dimension. |
| title | Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups |
| topic | Quantum Algebra Rings and Algebras 16T05, 20F55 |
| url | https://arxiv.org/abs/2411.02304 |