Higher rank Nichols algebras of diagonal type with finite arithmetic root systems in positive characteristic
| Autor: | Yuan, C., Qian, C., Wang, J. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | The classification of finite dimensional Nichols algebras of diagonal type plays an important role in the classification of Hopf algebras by the lifting method of N. Andruskiewitsch and H.-J. Schneider over fields of characteristic zero. In this paper, we obtain the classification theorem of all finite-dimensional rank 5, rank 6 and rank 7 Nichols algebras of diagonal type over fields of positive characteristic. Weyl groupoids and finite arithmetic root systems are crucial tools to the classification theorem. Comment: arXiv admin note: text overlap with arXiv:1911.03555 |
| Databáze: | arXiv |
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