Dual pairs for matrix Lie groups
Symplectic Geometry
2020-07-08 v2
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.
Cite
@article{arxiv.1805.01519,
title = {Dual pairs for matrix Lie groups},
author = {Paul Skerritt and Cornelia Vizman},
journal= {arXiv preprint arXiv:1805.01519},
year = {2020}
}
Comments
To appear in Journal of Geometric Mechanics