Differential Invariant Algebras of Lie Pseudo – Groups

@inproceedings{Olver2007DifferentialIA,
  title={Differential Invariant Algebras of Lie Pseudo – Groups},
  author={Peter J. Olver and Juha Pohjanpelto},
  year={2007}
}
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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References

Publications referenced by this paper.
Showing 1-10 of 44 references

Commutative Algebra with a View toward Algebraic Geometry

  • D. Eisenbud
  • Graduate Texts in Mathematics,
  • 1995
Highly Influential
3 Excerpts

Equivalence, Invariants, and Symmetry

  • P. J. Olver
  • 1995
Highly Influential
6 Excerpts

Ideals, Varieties, and Algorithms, 2nd ed

  • D. Cox, J. Little, D. O’Shea
  • 1996
Highly Influential
4 Excerpts

Invariants différentiels d’un pseudogroupe de Lie

  • A. Kumpera
  • J. Diff. Geom
  • 1975
Highly Influential
5 Excerpts

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