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Journal Articles Foundations of Computational Mathematics Year : 2007

Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions

Evelyne Hubert
Irina Kogan
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Abstract

We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise to algorithms for constructing rational and replacement invariants. The latter are algebraic over the field of rational invariants and play a role analogous to Cartan's normalized invariants in the smooth theory. The algebraic algorithms can be used for computing fundamental sets of differential invariants.

Dates and versions

inria-00198857 , version 1 (18-12-2007)

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Evelyne Hubert, Irina Kogan. Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions. Foundations of Computational Mathematics, 2007, 7 (4), pp.455-493. ⟨10.1007/s10208-006-0219-0⟩. ⟨inria-00198857⟩
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