Coverings of graded pointed Hopf algebras

JOURNAL OF ALGEBRA

卷:422

Article

Beneish, Esther^1,2  Chin, William^1,2 

[1] Univ Wisconsin Parkside, Kenosha, WI 53144 USA

[2] Depaul Univ, Chicago, IL 60604 USA

关键词: Pointed Hopf algebras;    Nichols algebras;    Coverings;    Coalgebras;    Quivers;    Yetter Drinfeld module;   

DOI  :  10.1016/j.jalgebra.2014.08.016

来源: Elsevier

【 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.

【 授权许可】

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