Cleft extensions in braided categories
作者:
J.N. Alonso Alvarez,
J.M. Fernández Vilaboa,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 7
页码: 3185-3196
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008827018
出版商: Gordon and Breach Science Publishers Ltd.
关键词: Braided category;cleft comodule algebras;Crossed products;Hopf algebras
数据来源: Taylor
摘要:
Majid in [14] and Bespalov in [2] obtain a braided interpretation of Radford’s theorem about Hopf algebras with projection ([19]). In this paper we introduce the notion of H-cleft comodule (module) algebras (coalgebras) for a Hopf algebra H in a braided monoidal category, and we characterize it as crossed products (coproducts). This allows us give very short proofs for know results in our context, and to introduce others stated for the category ofR-modules about of Hopf algebra extensions. In particular we give a proof of the result by Bespalov [2] for a braided monoidal category with co(equalizers).
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