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On the Cohomology of the Invariant Euler–Lagrange Complex

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Abstract

Given a Lie group action G we show, using the method of equivariant moving frames, that the local cohomology of the invariant Euler–Lagrange complex is isomorphic to the Lie algebra cohomology of G.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Robert Thompson

  2. Department of Mathematics and Statistics, McGill University, Montréal, Québec, H3A 2K6, Canada

    Francis Valiquette

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  1. Robert Thompson
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  2. Francis Valiquette
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Correspondence to Francis Valiquette.

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Thompson, R., Valiquette, F. On the Cohomology of the Invariant Euler–Lagrange Complex. Acta Appl Math 116, 199 (2011). https://doi.org/10.1007/s10440-011-9638-2

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