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arXiv · 0710.4318

Differential invariants of a Lie group action: syzygies on a generating set

Evelyne Hubert
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Abstract

Given a group action, known by its infinitesimal generators, we exhibit a complete set of syzygies on a generating set of differential invariants. For that we elaborate on the reinterpretation of Cartan's moving frame by Fels and Olver (1999). This provides constructive tools for exploring algebras of differential invariants.

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Evelyne Hubert. 2008-11-03. Differential invariants of a Lie group action: syzygies on a generating set. https://doi.org/10.1016/j.jsc.2008.08.003

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