Geometry of Integrable Systems Related to the Restricted Grassmannian

A hierarchy of differential equations on a Banach Lie-Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restricted Grassmannian are described, and a momentum map picture is presented.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Authors: Goliński, Tomasz, Tumpach, Alice Barbora
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212788
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Geometry of Integrable Systems Related to the Restricted Grassmannian. Tomasz Goliński and Alice Barbora Tumpach. SIGMA 20 (2024), 104, 18 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine