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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.20786 |
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| _version_ | 1866918232613453824 |
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| author | Lei, L. J. Yuan, C. Qian, C. Wang, J. |
| author_facet | Lei, L. J. Yuan, C. Qian, C. Wang, J. |
| contents | The classification of Nichols algebras is an essential step in the classification theory of pointed Hopf algebras by lifting method of N. Andruskiewitsch and H.-J. Schneider. Arithmetic root systems are invariants of Nichols algebras of diagonal type with a certain finiteness property. In this paper, all rank $r\geq 5$ Nichols algebras of diagonal type with a finite irreducible root system over fields of positive characteristic are classified. Weyl groupoids and finite arithmetic root systems are crucial tools for our classification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher rank Nichols algebras of diagonal type with finite arithmetic root systems in positive characteristic Lei, L. J. Yuan, C. Qian, C. Wang, J. Quantum Algebra The classification of Nichols algebras is an essential step in the classification theory of pointed Hopf algebras by lifting method of N. Andruskiewitsch and H.-J. Schneider. Arithmetic root systems are invariants of Nichols algebras of diagonal type with a certain finiteness property. In this paper, all rank $r\geq 5$ Nichols algebras of diagonal type with a finite irreducible root system over fields of positive characteristic are classified. Weyl groupoids and finite arithmetic root systems are crucial tools for our classification. |
| title | Higher rank Nichols algebras of diagonal type with finite arithmetic root systems in positive characteristic |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2412.20786 |