The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups

被引：7

作者：

Pillay, Anand ^{[1
]}

机构：

[1] Univ Notre Dame, Notre Dame, IN 46556 USA

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2017年 / 108卷 / 06期

关键词：

Picard-Vessiot extension; Galois cohomology; Linear differential algebraic groups; GALOIS THEORY; EXTENSIONS; FIELDS;

D O I：

10.1016/j.matpur.2017.05.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a differential field K is algebraically closed and Picard-Vessiot closed if and only if the differential Galois cohomology group, H-theta(1)(K, G), is trivial for any linear differential algebraic group G over K. We give applications to the parameterized Picard-Vessiot theory and pose several problems. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：809 / 817

页数：9

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