Picard-Vessiot Extensions For Unipotent Algebraic Groups
Classical Analysis and ODEs
2011-02-17 v1
Abstract
Let F be a differential field of characteristic zero. In this article, we construct Picard-Vessiot extensions of F whose differential Galois group is isomorphic to the full unipotent subgroup of the upper triangular group defined over the field of constants of F. We will also give a procedure to compute linear differential operators for our Picard-Vessiot extensions. We do not require the condition that the field of constants be algebraically closed.
Keywords
Cite
@article{arxiv.1102.3205,
title = {Picard-Vessiot Extensions For Unipotent Algebraic Groups},
author = {V. Ravi Srinivasan},
journal= {arXiv preprint arXiv:1102.3205},
year = {2011}
}