Linear algebraic groups as parameterized Picard-Vessiot Galois groups

被引：14

作者：

Singer, Michael F. ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

JOURNAL OF ALGEBRA | 2013年 / 373卷

基金：

美国国家科学基金会;

关键词：

Parameterized Picard-Vessiot theory; Linear algebraic groups; Inverse problem; INVERSE PROBLEM;

D O I：

10.1016/j.jalgebra.2012.09.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a linear algebraic group is the Galois group of a parameterized Picard-Vessiot extension of k(x), x' = 1, for certain differential fields k, if and only if its identity component has no one-dimensional quotient as a linear algebraic group. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：153 / 161

页数：9

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