Jordan Decomposition for Formal G-Connections
Classical Analysis and ODEs
2019-02-11 v2 Commutative Algebra
Algebraic Geometry
Abstract
A theorem of Hukuhara, Levelt, and Turrittin states that every formal differential operator has a Jordan decomposition. This theorem was generalised by Babbit and Varadarajan to the case of formal -connections where is a semisimple group. In this paper, we provide straightforward proofs of these facts, highlighting the analogy between the linear and differential settings.
Keywords
Cite
@article{arxiv.1702.03608,
title = {Jordan Decomposition for Formal G-Connections},
author = {Masoud Kamgarpour and Samuel Weatherhog},
journal= {arXiv preprint arXiv:1702.03608},
year = {2019}
}
Comments
14 pages