Ginzburg-Weinstein via Gelfand-Zeitlin
نویسندگان
چکیده
منابع مشابه
On Algebraic Integrability of Gelfand-zeitlin Fields
We generalize a result of Kostant and Wallach concerning the algebraic integrability of the Gelfand-Zeitlin vector fields to the full set of strongly regular elements in gl(n, C). We use decomposition classes to stratify the strongly regular set by subvarieties XD. We construct an étale cover ĝD of XD and show that XD and ĝD are smooth and irreducible. We then use Poisson geometry to lift the G...
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In recent work ([9],[10]), Kostant and Wallach construct an action of a simply connected Lie group A ≃ C( n 2 ) on gl(n) using a completely integrable system derived from the Poisson analogue of the Gelfand-Zeitlin subalgebra of the enveloping algebra. In [9], the authors show that A-orbits of dimension ( n 2 ) form Lagrangian submanifolds of regular adjoint orbits in gl(n). They describe the o...
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In recent work ([KW1],[KW2]), Kostant and Wallach construct an action of a simply connected Lie group A ≃ C( n 2 ) on gl(n) using a completely integrable system derived from the Poisson analogue of the Gelfand-Zeitlin subalgebra of the enveloping algebra. In [KW1], the authors show that A-orbits of dimension ( n 2 ) form Lagrangian submanifolds of regular adjoint orbits in gl(n). They describe ...
متن کاملThe Gelfand-Zeitlin Integrable System and Its Action on Generic Elements of gl(n) and so(n)
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2007
ISSN: 0022-040X
DOI: 10.4310/jdg/1180135664