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.
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页数：26
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