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Computer Science > Symbolic Computation

arXiv:0710.4318 (cs)
[Submitted on 23 Oct 2007 (v1), last revised 3 Nov 2008 (this version, v4)]

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

Authors: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.
Comments: Journal of Symbolic Computation (2008)
Subjects: Symbolic Computation (cs.SC); Differential Geometry (math.DG)
Cite as: arXiv:0710.4318 [cs.SC]
  (or arXiv:0710.4318v4 [cs.SC] for this version)
  https://doi.org/10.48550/arXiv.0710.4318
Related DOI: https://doi.org/10.1016/j.jsc.2008.08.003

Submission history

From: Evelyne Hubert [view email] [via CCSD proxy]
[v1] Tue, 23 Oct 2007 19:20:10 UTC (67 KB)
[v2] Thu, 6 Dec 2007 15:49:21 UTC (68 KB)
[v3] Thu, 4 Sep 2008 15:06:25 UTC (75 KB)
[v4] Mon, 3 Nov 2008 10:42:30 UTC (78 KB)
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