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A note on the relation between joint and differential invariants

We discuss the general properties of the theory of joint invariants of a smooth Lie group action in a manifold. Many of the known results about differential invariants, including Lie's finiteness theorem, have simpler versions in the context of joint invariants. We explore the relation between joint and differential invariants, and we expose a general method that allow to compute differential invariants from joint invariants.

preprint2014arXivOpen access
David Blázquez-SanzJuan Sebastián Díaz Arboleda
math.DG
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David Blázquez-SanzJuan Sebastián Díaz Arboleda

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