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

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

2007-10-23

arxiv.org/abs/0710.4318v4

Computer Science

Symbolic Computation

Journal of Symbolic Computation (2008)

Scientific paper

10.1016/j.jsc.2008.08.003

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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