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Two Algorithms for a Moving Frame Construction

Published online by Cambridge University Press:  20 November 2018

Irina A. Kogan
Irina A. Kogan*
Affiliation:
Department of Mathematics, Yale University, New Haven, Connecticut 06520, USA, e-mail: kogan@math.yale.edu
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Abstract

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The method of moving frames, introduced by Elie Cartan, is a powerful tool for the solution of various equivalence problems. The practical implementation of Cartan's method, however, remains challenging, despite its later significant development and generalization. This paper presents two new variations on the Fels and Olver algorithm, which under some conditions on the group action, simplify a moving frame construction. In addition, the first algorithm leads to a better understanding of invariant differential forms on the jet bundles, while the second expresses the differential invariants for the entire group in terms of the differential invariants of its subgroup.

Keywords

53A5558D1968U10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 55 , Issue 2 , 01 April 2003 , pp. 266 - 291
Copyright
Copyright © Canadian Mathematical Society 2003

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