On the constructive inverse problem in differential Galois theory

被引：2
|
作者：
Cook, WJ
Mitschi, C
Singer, MF
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] Univ Strasbourg, Inst Rech Math Avancee, Strasbourg, France
[3] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 10期
基金：
美国国家科学基金会;
关键词：
Galois theory; inverse problem; linear differential equations; Picard-Vessiot;
D O I：
10.1080/00927870500243304
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G with G(0) = G(1) - - - - - G(r), where each G(i) is a simple group of type A(l), C-l, D-l, E-6, or E-7, we construct a differential equation over C(x) having Galois group G.
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页码：3639 / 3665
页数：27
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