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

Evelyne Hubert (1)

1 CRISAM - Inria Sophia Antipolis - Méditerranée

We elaborate on the reinterpretation of Cartan's moving frame by Fels and Olver (1999) as an equivariant map. A moving frame allow to construct invariant derivations and differential invariants. We exhibit a complete set of syzygies for a generating (finite) subset of those latter.

Mots clés: Lie group actions; Differential invariants; Moving frame; Syzygies; Differential algebra; Symbolic computation

Domaines: Calcul formel [cs.SC]; Géométrie différentielle [math.DG]

Evelyne Hubert. Differential invariants of a Lie group action: syzygies on a generating set. 2007. ⟨inria-00178189v2⟩