FoCM 2014 conference

Workshop B7 - Symbolic Analysis

December 15, 16:00 ~ 16:25 - Room A11

Configuration and differential invariants

David Blazquez-Sanz

Universidad Nacional de Colombia - Medellín, Colombia   -

We study the relation between the notions of configuration and differential invariants for a G-manifold. The configuration invariants are G-invariant functions defined in the cartesian powers of the G-manifold. Configurations invariants are simpler to understand and to compute than differential invariants, since the prolongation algorithm is just the repetition of the action and does not involve derivation. There is a simpler version of the Lie-Tresse theorem for configuration invariants. We present a general framework that allows to compute the differential invariants associated to a G-manifold from its configuration invariants.

Joint work with Juan Sebastián Díaz (Universidad Nacional de Colombia - Medellín, Colombia).

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