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Dual pairs for matrix groups

Skerritt, Paul and Vizman, Cornelia (2019) Dual pairs for matrix groups Journal of Geometric Mechanics, 11 (2). pp 255-275.

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Abstract

In this paper we present two dual pairs that can be seen as the linear analogues of the following two dual pairs related to fluids: the EPDiff dual pair due to Holm and Marsden, and the ideal fluid dual pair due to Marsden and Weinstein.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Skerritt, Paulp.skerritt@surrey.ac.uk
Vizman, Cornelia
Date : June 2019
DOI : 10.3934/jgm.2019014
Copyright Disclaimer : Copyright 2019 The American Institute of Mathematical Sciences (AIMS) This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Journal of Geometric Mechanics following peer review. The definitive publisher-authenticated version: Paul Skerritt, Cornelia Vizman. Dual pairs for matrix groups. Journal of Geometric Mechanics, 2019, 11 (2): 255-275. doi: 10.3934/jgm.2019014 is available online at: http://dx.doi.org/10.3934/jgm.2019014
Uncontrolled Keywords : Dual pairs; Momentum maps; Coadjoint orbits; Symplectic reduction
Depositing User : Diane Maxfield
Date Deposited : 12 Nov 2019 16:03
Last Modified : 13 Nov 2019 10:15
URI: http://epubs.surrey.ac.uk/id/eprint/853116

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