Poisson structure on predual of Banach Lie algebroid
Tomasz Goli\'nski, Grzegorz Jakimowicz

TL;DR
This paper constructs a linear Poisson structure on the predual of a Banach Lie algebroid, offering an alternative approach to known results and exploring the existence of queer Banach Lie algebroids with an example.
Contribution
It introduces a new method for constructing the Poisson structure on the predual of Banach Lie algebroids and discusses queer Banach Lie algebroids.
Findings
Established a linear Poisson structure on the predual bundle.
Presented an example of a precotangent bundle.
Discussed the existence of queer Banach Lie algebroids.
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Intracerebral and Subarachnoid Hemorrhage Research · Advanced Topics in Algebra
