# Jordan decomposition for formal G-connections

Masoud Kamgarpour and Simon Weatherhog – GJM, Volume 5, Issue 1 (2020), 111-121.

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
$G$-connections where $G$ is a semisimple group. In this paper, we provide straightforward proofs of these facts, highlighting the analogy between the linear and differential settings.

Categories: Issue2, Older Volumes