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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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Table of 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.