مشخصات پژوهش

Using a recursive metho d, we study the structure of a Lie pse udo-group action which was intro duced by Cartan. Lie pseudo-groups are the infinite-dimensional counterparts of lo cal Lie group actions. We asso ciate a system of PDEs to the pseudo-group action, which called determining e quations of the pseudogroup action, we obtain the diffe re ntial invariants, invariant differential form s and recurrence relations among them for the Lie pseudo-group action. The invariant differential forms provide a complete system of functionally indep e ndent invariant differential forms that c an b e used to solve the e quivalence problem.