Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian

DOI10.1007/s00220-019-03674-3zbMath1437.37087arXiv1805.03292OpenAlexW3202078115WikidataQ115388559 ScholiaQ115388559MaRDI QIDQ2297303

Alice Barbara Tumpach

Publication date: 18 February 2020

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

Full work available at URL: https://arxiv.org/abs/1805.03292

zbMATH Keywords

Banach spacesPoisson-Lie groupsGrassmannianKdV hierarchyBanach-Lie bialgebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Bialgebras (16T10)

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