论文标题
尼科尔(Nichols)代数
Nichols algebras over classical Weyl groups
论文作者
论文摘要
我们表明,除了在某些情况下,经典weyl oftem $ w(b_n)$和$ w(d_n)$的共轭类别是{\ rm d}的类型。我们证明,除了三种情况下,经典韦伊尔基团上的不可还原的Yetter-drinfeld(简称{\ rm yd}的Nichols代数是无限的尺寸。
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.