Classifying Nichols algebras over classical Weyl groups

Weicai Wu; Panyue Zhou

doi:10.1142/s021819672250062x

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arXiv · 2410.07743

Classifying Nichols algebras over classical Weyl groups

Weicai Wu·Panyue Zhou

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Abstract

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.

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BibTeX RIS

Weicai Wu, Panyue Zhou. 2024-10-10. Classifying Nichols algebras over classical Weyl groups. https://doi.org/10.1142/s021819672250062x

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