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

页码：341 / 369

页数：29

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