Moving frames for Lie pseudo-groups

Francis Valiquette

Roughly speaking, Lie pseudo-groups are infinite dimensional Lie groups. They were first studied by Lie himself who did not make any distinction between Lie pseudo-groups and Lie groups. But since that time, the theory of Lie groups and Lie pseudo-groups have taken two different paths. At this day very few things are known about Lie pseudo-groups compared to Lie groups.In this talk I will present a theory of moving frame developped by Olver and Pohjanpelto that can be used to study Lie pseudo-groups. In the talk I will explain how to obtain the differential invariants of a Lie pseudo-group acting on a manifold and the recurrence relations between them.

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