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Dual pairs for matrix groups

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The first author was partially supported by Leverhulme Trust Research Project Grant 2014-112. The second author was supported by the grant PN-Ⅲ-P4-ID-PCE-2016-0778 of the Romanian Ministry of Research and Innovation CNCS-UEFISCDI, within PNCDI Ⅲ

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  • 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.

    Mathematics Subject Classification: Primary: 53D20, 53D17; Secondary: 22E60, 17B08.


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