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arXiv · 1805.01519

Dual pairs for matrix Lie groups

Paul Skerritt·Cornelia Vizman
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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.

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Paul Skerritt, Cornelia Vizman. 2018-05-03. Dual pairs for matrix Lie groups. https://doi.org/10.3934/jgm.2019014

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