Pointed Hopf Algebras with classical Weyl Groups

Details Pointed Hopf Algebras with classical Weyl Groups Pointed Hopf Algebras with classical Weyl Groups

2009-10-07

arxiv.org/abs/0910.1280v3

Mathematics

Quantum Algebra

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

Scientific paper

We prove that Nichols algebras of irreducible Yetter-Drinfeld modules over
classical Weyl groups $A \rtimes \mathbb S_n$ 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 $A \rtimes \mathbb S_n$ supported by $A$ to be finite dimensional.

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