CROSSED PRODUCTS FOR WEAK HOPF ALGEBRAS

被引：19
|
作者：
Rodriguez Raposo, Ana Belen [1 ]
机构：
[1] Univ Santiago de Compostela, Dept Alxebra, Fac Math, Santiago De Compostela 15782, SN, Spain
来源：
COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 07期
关键词：
Crossed product; Weak cleft extension; Weak Hopf algebra; EXTENSIONS; MODULES;
D O I：
10.1080/00927870802620274
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Weak crossed products by a weak bialgebra are defined. The resulting structure is not that of a unital algebra but an associative algebra with preunit. A general formula of such a product is given in terms of a weak 2-cocycle and a weak measuring. The relation with weak cleft extensions is studied. Equivalences of weak crossed products are defined and are related to gauge transformations. A relation between cleaving maps is described in terms of gauge transformations.
引用
收藏
页码：2274 / 2289
页数：16
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