Poisson structure on predual of Banach Lie algebroid
Differential Geometry
2025-05-20 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
We construct the linear Poisson structure on the predual bundle of a Banach Lie algebroid. It is an alternative approach to the already known results on the linear sub-Poisson structure on the dual bundle. We also discuss the existence of queer Banach Lie algebroids. An example of a precotangent bundle is presented.
Keywords
Cite
@article{arxiv.2505.13351,
title = {Poisson structure on predual of Banach Lie algebroid},
author = {Tomasz Goliński and Grzegorz Jakimowicz},
journal= {arXiv preprint arXiv:2505.13351},
year = {2025}
}
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21 pages