The differential algebra of relative invariants is not finitely generated but becomes finitely generated after localization at finitely many invariants, with order bounds for the rational case.
Kumpera,Invariants diff´ erentiels d’un pseudogroupe de Lie, J
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Scalar relative differential invariants
The differential algebra of relative invariants is not finitely generated but becomes finitely generated after localization at finitely many invariants, with order bounds for the rational case.