Nichols algebras over classical Weyl groups, Fomin-Kirillov algebras and Lyndon basis

Shouchuan Zhang, Weicai Wu, Zhengtang Tan +1

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 i…