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math-ph2024★ 1 cited
Poisson structures in the Banach setting: comparison of different approaches
Tomasz Goliński, Praful Rahangdale, Alice Barbora Tumpach
In this paper we examine various approaches to the notion of Poisson manifold in the context of Banach manifolds. Existing definitions are presented and differences between them ar…
math-ph2014★ 4 cited
Lie bundle on the space of deformed skew-symmetric matrices
Alina Dobrogowska, Tomasz Goliński
We study a Lie algebra of deformed skew-symmetric matrices endowed with a Lie bracket given by a choice of deformed symmetric matrix.…