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arXiv · 2505.13351

Poisson structure on predual of Banach Lie algebroid

Tomasz Goliński·Grzegorz Jakimowicz
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Abstract

We construct the linear Poisson bracket 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. The example on a trivial bundle is presented and the situation on precotangent bundles is discussed.

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Tomasz Goliński, Grzegorz Jakimowicz. 2025-05-19. Poisson structure on predual of Banach Lie algebroid. https://arxiv.org/abs/2505.13351

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