Linear Algebraic Groups as Parameterized Picard-Vessiot Galois Groups
Classical Analysis and ODEs
2011-08-02 v1 Commutative Algebra
Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1108.0406,
title = {Linear Algebraic Groups as Parameterized Picard-Vessiot Galois Groups},
author = {Michael F Singer},
journal= {arXiv preprint arXiv:1108.0406},
year = {2011}
}
Comments
18 pages