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

@article{Hubert2009DifferentialIO,
  title={Differential invariants of a Lie group action: syzygies on a generating set},
  author={Evelyne Hubert},
  journal={J. Symb. Comput.},
  year={2009},
  volume={44},
  pages={382-416}
}
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. 
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