Classifying Nichols algebras over classical Weyl groups

Autor: Wu, Weicai, Zhou, Panyue
Rok vydání: 2024
Předmět:
Zdroj: INT.J. ALGEBR COMPUT,32(7):1403-1409,2022
Druh dokumentu: Working Paper
DOI: 10.1142/S021819672250062X
Popis: 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.
Comment: 7 pages
Databáze: arXiv