Classifying Nichols algebras over classical Weyl groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909344268812288 |
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| author | Wu, Weicai Zhou, Panyue |
| author_facet | Wu, Weicai Zhou, Panyue |
| contents | In this article, we show that conjugacy classes of classical Weyl groups $W(B_{n})$ and $W(D_{n})$ are of $\textit{type D}$. Consequently, we obtain that Nichols algebras of irreducible Yetter-Drinfeld modules over the classical Weyl groups $\mathbb W_{n}$ ($n\geq5$) are infinite dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classifying Nichols algebras over classical Weyl groups Wu, Weicai Zhou, Panyue Quantum Algebra In this article, we show that conjugacy classes of classical Weyl groups $W(B_{n})$ and $W(D_{n})$ are of $\textit{type D}$. Consequently, we obtain that Nichols algebras of irreducible Yetter-Drinfeld modules over the classical Weyl groups $\mathbb W_{n}$ ($n\geq5$) are infinite dimensional. |
| title | Classifying Nichols algebras over classical Weyl groups |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2410.07743 |