Crossed Products in Weak Contexts

被引：13

作者：

Alonso Alvarez, J. N. ^{[3
]}

Fernandez Vilaboa, J. M. ^{[2
]}

Gonzalez Rodriguez, R.

Rodriguez Raposo, A. B. ^{[1
,2
]}

机构：

[1] Univ Vigo, Dept Matemat Aplicada 2, Vigo 36310, Spain

[2] Univ Santiago de Compostela, Dept Alxebra, Santiago De Compostela 15771, Spain

[3] Univ Vigo, Dept Matemat, Vigo 36280, Spain

来源：

APPLIED CATEGORICAL STRUCTURES | 2010年 / 18卷 / 03期

关键词：

Crossed product; Weak Hopf algebras; Weak cleft extensions; Braided categories; HOPF-ALGEBRAS; EXTENSIONS; MODULES;

D O I：

10.1007/s10485-008-9139-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the general notion of crossed products in a weak context, which generalizes the ones defined by Blattner, Cohen and Montgomery, Doi and Takeuchi in the context of Hopf algebras and the one given by BrzeziA"ski. Also, the crossed products obtained by the authors, for weak Hopf algebras living in a symmetric monoidal category and weak C-cleft extensions associated to weak entwined structures, are particular instances of this theory.

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收藏

页码：231 / 258

页数：28

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