POINTED HOPF ALGEBRAS WITH CLASSICAL WEYL GROUPS

被引：3

作者：

Zhang, Shouchuan ^{[1
]}

Zhang, Yao-Zhong ^{[2
]}

机构：

[1] Hunan Univ, Dept Math, Changsha 410082, Hunan, Peoples R China

[2] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 06期

基金：

澳大利亚研究理事会;

关键词：

Quiver; Hopf algebra; Weyl group;

D O I：

10.1142/S0129167X12500668

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that Nichols algebras of irreducible Yetter-Drinfeld modules over classical Weyl groups A (sic) S-n supported by 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 (sic) S-n supported by A to be finite dimensional.

引用

页数：26

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