Differential Invariant Algebras of Lie Pseudo – Groups

  title={Differential Invariant Algebras of Lie Pseudo – Groups},
  author={Peter J. Olver and Juha Pohjanpelto},
The aim of this paper is to describe, in as much detail as possible and constructively, the structure of the algebra of differential invariants of a Lie pseudo-group acting on the submanifolds of an analytic manifold. Under the assumption of local freeness of a suitably high order prolongation of the pseudo-group action, we develop computational algorithms for locating a finite generating set of differential invariants, a complete system of recurrence relations for the differentiated invariants… CONTINUE READING
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