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Classifying Nichols algebras over classical Weyl groups (2410.07743v1)
Published 10 Oct 2024 in math.QA
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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