Integrable systems associated with the Bruhat Poisson structures

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dc.creatorFoth, Philip
dc.date2001-02-26
dc.date2001-06-26
dc.date.accessioned2026-07-07T04:40:21Z
dc.date.available2026-07-07T04:40:21Z
dc.descriptionThe purpose of this note is to give a simple description of a (complete) family of functions in involution on certain hermitian symmetric spaces. This family, obtained via bi-hamiltonian approach using the Bruhat Poisson structure, is especially simple for the projective spaces, where the formulas in terms of the moment map coordinates are presented. We show how these functions are related to the Gelfand-Tsetlin coordinates. We also show how the Lenard scheme can be applied.
dc.descriptionreplaced with an enhanced version
dc.identifierhttps://arxiv.org/abs/math/0102192
dc.identifierhttp://arxiv.org/abs/math/0102192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61002
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject58F07, 53B35, 53C35
dc.titleIntegrable systems associated with the Bruhat Poisson structures
dc.typetext

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