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.

引用

页码：3639 / 3665

页数：27

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