Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909166187053056 |
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| author | Heckenberger, I. Meir, E. Vendramin, L. |
| author_facet | Heckenberger, I. Meir, E. Vendramin, L. |
| contents | Over fields of characteristic zero, we determine all absolutely irreducible Yetter-Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols algebra. To achieve our goal, we introduce orders of braided vector spaces and study their degenerations and specializations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_02989 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension Heckenberger, I. Meir, E. Vendramin, L. Representation Theory Quantum Algebra Rings and Algebras 16T05, 18M15 Over fields of characteristic zero, we determine all absolutely irreducible Yetter-Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols algebra. To achieve our goal, we introduce orders of braided vector spaces and study their degenerations and specializations. |
| title | Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension |
| topic | Representation Theory Quantum Algebra Rings and Algebras 16T05, 18M15 |
| url | https://arxiv.org/abs/2306.02989 |