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

Published 23 Oct 2007 in cs.SC and math.DG | (0710.4318v4)

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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