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.
- Title
- Dual pairs for matrix groups
- Creators
- Paul SkerrittCornelia Vizman
- Publication Details
- Journal of Geometric Mechanics, Vol.11(2), pp.pp 255-275
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Date submitted
- 12/11/2019
- Identifiers
- 99514714602346
- Copyright
- 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
- Academic Unit
- Department of Mathematics
- Resource Type
- Journal article