论文标题

尼科尔(Nichols)代数

Nichols algebras over classical Weyl groups

论文作者

Tan, Zhengtang, Wu, Weicai, Zhang, Shouchuan

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.

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