Noncommutative Symplectic Geometry of the Endomorphism Algebra of a Vector Bundle

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dc.creatorGiunashvili, Zakaria
dc.date2002-12-17
dc.date2003-02-03
dc.date.accessioned2026-07-07T04:53:50Z
dc.date.available2026-07-07T04:53:50Z
dc.descriptionWe study noncommutative generalizations of such notions of the classical symplectic geometry as degenerate Poisson structure, Poisson submanifold and quotient manifold, symplectic foliation and symplectic leaf for associative Poisson algebras. We consider these structures for the case of the endomorphism algebra of a vector bundle, and give the full description of the family of Poisson structures for this algebra.
dc.description15 pages. This version is converted to AMS-LaTeX format. The Appendix is removed and just the material concerning the endomorphism algebra is left. Some misprints are corrected
dc.identifierhttps://arxiv.org/abs/math/0212228
dc.identifierhttp://arxiv.org/abs/math/0212228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66013
dc.subjectSymplectic Geometry
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject46L55; 46L87; 81R05
dc.titleNoncommutative Symplectic Geometry of the Endomorphism Algebra of a Vector Bundle
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