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Communications in Mathematical Physics

, Volume 90, Issue 2, pp 235–250 | Cite as

Canonical maps between semidirect products with applications to elasticity and superfluids

  • Boris A. Kupershmidt
  • Tudor Ratiu
Article

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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Boris A. Kupershmidt
    • 1
  • Tudor Ratiu
    • 1
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

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