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Canonical maps between semidirect products with applications to elasticity and superfluids

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Abstract

It is shown that two canonical maps arising in the Poisson bracket formulations of elasticity and superfluids are particular instances of general canonical maps between duals of semidirect product Lie algebras.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA

    Boris A. Kupershmidt & Tudor Ratiu

Authors
  1. Boris A. Kupershmidt
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  2. Tudor Ratiu
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Additional information

Communicated by A. Jaffe

Partially supported by NSF Grant MCS-8003104

Partially supported by NSF Grant MCS-8106142

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Kupershmidt, B.A., Ratiu, T. Canonical maps between semidirect products with applications to elasticity and superfluids. Commun.Math. Phys. 90, 235–250 (1983). https://doi.org/10.1007/BF01205505

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  • DOI: https://doi.org/10.1007/BF01205505

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