Pointed Hopf Algebras with classical Weyl Groups

Abstract

We prove that Nichols algebras of irreducible Yetter-Drinfeld modules over classical Weyl groups $A⋊{\mathbb{S}}_n$ supported by ${\mathbb{S}}_n$ are infinite dimensional, except in three cases. We give necessary and sufficient conditions for Nichols algebras of Yetter-Drinfeld modules over classical Weyl groups $A⋊{\mathbb{S}}_n$ supported by $A$ to be finite dimensional.

Combined with arXiv:0902.4748 plus substantial changes. To appear International Journal of Mathematics

References in corpus (1)

• Finite-dimensional pointed Hopf algebras with alternating groups are trivial

Cited by in corpus (3)

• Nichols algebras over classical Weyl groups
• Nichols algebras over classical Weyl groups (II)
• Classifying Nichols algebras over classical Weyl groups