Nichols algebras over classical Weyl groups

Abstract

We show that except in several cases conjugacy classes of classical Weyl groups $W(B_n)$ and $W(D_n)$ are of type {\rm D}. We prove that except in three cases Nichols algebras of irreducible Yetter-Drinfeld ({\rm YD} in short )modules over the classical Weyl groups are infinite dimensional.

12 pages. arXiv admin note: text overlap with arXiv:1307.8227

References in corpus (1)

• Nichols algebras over classical Weyl groups

Cited by in corpus (2)

• Nichols algebras over classical Weyl groups
• Classifying Nichols algebras over classical Weyl groups