Banach Lie-Poisson spaces and reduction

DOI10.1007/s00220-003-0948-8zbMath1044.53057arXivmath/0210207OpenAlexW1974236618MaRDI QIDQ1416953

Tudor S. Ratiu, Anatol Odzijewicz

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210207

zbMATH Keywords

reductionBanach Lie-Poisson spacesBanach Poisson manifolds

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Poisson manifolds; Poisson groupoids and algebroids (53D17) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Group structures and generalizations on infinite-dimensional manifolds (58B25)

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