COHOMOLOGY OF ALGEBRAS OVER WEAK HOPF ALGEBRAS

被引：4
|
作者：
Alonso Alvarez, J. N. [1 ]
Fernandez Vilaboa, J. M. [2 ]
Gonzalez Rodriguez, R. [3 ]
机构：
[1] Univ Vigo, Dept Matemat, E-36280 Vigo, Spain
[2] Univ Santiago Compostela, Dept Alxebra, E-15771 Santiago De Compostela, Spain
[3] Univ Vigo, Dept Matemat Aplicada 2, E-36310 Vigo, Spain
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2014年 / 16卷 / 01期
关键词：
Weak Hopf algebra; Sweedler cohomology; weak crossed product; CROSSED-PRODUCTS;
D O I：
10.4310/HHA.2014.v16.n1.a19
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present the Sweedler cohomology for a cocommutative weak Hopf algebra H. We show that the second cohomology group classifies completely weak crossed products, having a common preunit, of H with a commutative left H-module algebra A.
引用
收藏
页码：341 / 369
页数：29
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