GALOIS AND BIGALOIS OBJECTS OVER MONOMIAL NON-SEMISIMPLE HOPF ALGEBRAS

被引：10

作者：

Bichon, Julien ^{[1
]}

机构：

[1] Univ Pau & Pays Adour, IPRA, Lab Math Appl, Ave Univ, F-64000 Pau, France

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 05期

关键词：

Hopf-Galois extension; monomial Hopf algebra; group cohomology;

D O I：

10.1142/S0219498806001934

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the Hopf-Galois extensions of the base field and the biGalois groups of non-semisimple monomial Hopf algebras. The main feature of our description is the use of modified versions of the second cohomology group of the grouplike elements. Our computations generalize the previous ones of Masuoka and Schauenburg for the Taft algebras.

引用

页码：653 / 680

页数：28

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