Coverings of graded pointed Hopf algebras

被引：1
|
作者：
Beneish, Esther [1 ,2 ]
Chin, William [1 ,2 ]
机构：
[1] Univ Wisconsin Parkside, Kenosha, WI 53144 USA
[2] Depaul Univ, Chicago, IL 60604 USA
来源：
JOURNAL OF ALGEBRA | 2015年 / 422卷
关键词：
Pointed Hopf algebras; Nichols algebras; Coverings; Coalgebras; Quivers; Yetter Drinfeld module; NICHOLS ALGEBRAS;
D O I：
10.1016/j.jalgebra.2014.08.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the concept of a covering of a graded pointed Hopf algebra. The theory developed shows that coverings of a bosonized Nichols algebra can be concretely expressed by biproducts using a quotient of the universal coalgebra covering group of the Nichols algebra. If there are enough quadratic relations, the universal coalgebra covering is given by the bosonization by the enveloping group of the underlying rack. (C) 2014 Elsevier Inc. All rights reserved.
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收藏
页码：730 / 740
页数：11
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