Noncommutative descent and non-Abelian cohomology

被引：27

作者：

Nuss, P

机构：

[1] UNIV STRASBOURG 1,INST RECH MATH AVANCEE,F-67084 STRASBOURG,FRANCE

[2] CNRS,F-67084 STRASBOURG,FRANCE

来源：

K-THEORY | 1997年 / 12卷 / 01期

关键词：

descent; braid equation; connection; Hopf-Galois extension; non-Abelian cohomology; Hermitian module; Hilbert's Theorem 90;

D O I：

10.1023/A:1007734431772

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the descent problem of modules over general extensions of noncommutative rings and give different interpretations of descent data. We consider in particular the case of Hopf-Galois extensions. When descent data exist, we classify them by non-Abelian cohomology sets and deduce a noncommutative version of Hilbert's Theorem 90.

引用

页码：23 / 74

页数：52

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