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.
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页码：153 / 161
页数：9
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