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arxiv: 1111.5480 · v3 · pith:RI3D3A44new · submitted 2011-11-23 · 🧮 math.DG

Global Lie-Tresse theorem

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keywords differentialalgebraicglobalinvariantslie-tressetheoremactionalgebra
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We prove a global algebraic version of the Lie-Tresse theorem which states that the algebra of differential invariants of an algebraic pseudogroup action on a differential equation is generated by a finite number of rational-polynomial differential invariants and invariant derivations.

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