Generation properties of Maurer-Cartan invariants

Evelyne Hubert 1, 2
2 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : For the action of a Lie group, which can be given by its infinitesimal generators only, we characterize a generating set of differential invariants of bounded cardinality and show how to rewrite any other differential invariants in terms of them. Those invariants carry geometrical significance and have been used in equivalence problem in differential geometry.
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Submitted on : Monday, December 10, 2007 - 3:31:08 PM
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Evelyne Hubert. Generation properties of Maurer-Cartan invariants. 2007. ⟨inria-00194528v2⟩

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