Canonical maps between semidirect products with applications to elasticity and superfluids

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.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46527/1/220_2005_Article_BF01205505.pd

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