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

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.

Journal of Symbolic Computation (2008)

References in corpus (1)

• Differential Invariants of Conformal and Projective Surfaces

Cited by in corpus (4)

• Differential Invariants of Conformal and Projective Surfaces
• Solving Local Equivalence Problems with the Equivariant Moving Frame Method
• Degree bounds for fields of rational invariants of $\mathbb{Z}/p\mathbb{Z}$ and other finite groups
• On the use of the Rotation Minimising Frame for Variational Systems with Euclidean Symmetry