Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two

被引：31
|
作者：
Goodearl, K. R. [1 ]
Zhang, J. J. [2 ]
机构：
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
[2] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源：
JOURNAL OF ALGEBRA | 2010年 / 324卷 / 11期
基金：
美国国家科学基金会;
关键词：
Hopf algebra; Noetherian; Gelfand-Kirillov dimension; QUANTUM GROUPS;
D O I：
10.1016/j.jalgebra.2009.11.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify all noetherian Hopf algebras H over an algebraically closed field k of characteristic zero which are integral domains of Gelfand-Kirillov dimension two and satisfy the condition Ext(H)(1)(k,k) not equal 0. The latter condition is conjecturally redundant, as no examples are known (among noetherian Hopf algebra domains of GK-dimension two) where it fails. (C) 2009 Elsevier Inc. All rights reserved.
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页码：3131 / 3168
页数：38
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