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

Evelyne Hubert 1
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
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.
Complete list of metadatas

Cited literature [47 references]  Display  Hide  Download

https://hal.inria.fr/inria-00178189
Contributor : Evelyne Hubert <>
Submitted on : Monday, November 3, 2008 - 11:38:25 AM
Last modification on : Friday, January 12, 2018 - 1:49:34 AM
Long-term archiving on : Friday, September 24, 2010 - 12:16:13 PM

Files

hal.inria.00178189v5.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Evelyne Hubert. Differential invariants of a Lie group action: syzygies on a generating set. Journal of Symbolic Computation, Elsevier, 2009, 44 (4), pp.382-416. ⟨10.1016/j.jsc.2008.08.003⟩. ⟨inria-00178189v5⟩

Share

Metrics

Record views

462

Files downloads

377