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 - dblazquezs@unal.edu.co
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).