论文标题
尼科尔（Nichols）代数（ii）
Nichols algebras over classical Weyl groups (II)
论文作者
论文摘要
据表明，除了三种情况下，经典weyl组的共轭类$ w（b_ {n}）$和$ w（d_ {n}）$是类型$ {\ rm d} $。这证明了尼科尔在经典的weyl oft $ \ mathbb w_ {n} $（i。 $ \ mathbb s_ {5} $，和$（1^{n-2}，2）$ in $ \ MATHBB s_ {n} $ for $ n> 5 $。
It is shown that except in three cases conjugacy classes of classical Weyl groups $W(B_{n})$ and $W(D_{n})$ are of type ${\rm D}$. This proves that Nichols algebras of irreducible Yetter-Drinfeld modules over the classical Weyl groups $\mathbb W_{n}$ (i.e. $H_{n}\rtimes \mathbb{S}_{n}$) are infinite dimensional, except the class of type $(2, 3),(1^{2}, 3)$ in $\mathbb S_{5}$, and $(1^{n-2}, 2)$ in $\mathbb S_{n}$ for $n >5$.
