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arXiv · 1702.03608

Jordan Decomposition for Formal G-Connections

Masoud Kamgarpour·Samuel Weatherhog
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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 $G$-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.

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Masoud Kamgarpour, Samuel Weatherhog. 2017-02-13. Jordan Decomposition for Formal G-Connections. https://arxiv.org/abs/1702.03608

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