We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple group on the complex flag manifold. © Springer-Verlag 2004.postprin
Let (X,G,ω1,ω2,{ηt}) be a manifold with a bi-Poisson structure {ηt} generated by a pair of G-invaria...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
We construct a Banach Poisson-Lie group structure on the unitary group of a separable complex Hilber...
Abstract. We present some basic results on a natural Poisson structure on any compact symmetric spac...
Let X be a simply connected compact Riemannian symmetric space, let U be the universal covering grou...
For a complex semisimple Lie group G and a real form G 0 we define a Poisson structure on the variet...
Dedicated to the memory of our colleague Xu-Dong Liu (1962-2005) Abstract. The standard Poisson stru...
Let G be a finite dimensional simple complex group equipped with the standard Poisson Lie group stru...
AbstractWe study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint o...
AbstractThe standard Poisson structure on the rectangular matrix variety Mm,n(C) is investigated, vi...
AbstractWe consider the action of a real semisimple Lie group G on the complexification GC/HC of a s...
The standard Poisson structure on the rectangular matrix variety Mm,n(C) is investigated, via the o...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
The structure of Poisson manifolds is highly nontrivial even locally. The first important result in ...
Sin resumenWe consider the Poisson reduced space (T Q)/K , where the action of the com pact Lie grou...
Let (X,G,ω1,ω2,{ηt}) be a manifold with a bi-Poisson structure {ηt} generated by a pair of G-invaria...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
We construct a Banach Poisson-Lie group structure on the unitary group of a separable complex Hilber...
Abstract. We present some basic results on a natural Poisson structure on any compact symmetric spac...
Let X be a simply connected compact Riemannian symmetric space, let U be the universal covering grou...
For a complex semisimple Lie group G and a real form G 0 we define a Poisson structure on the variet...
Dedicated to the memory of our colleague Xu-Dong Liu (1962-2005) Abstract. The standard Poisson stru...
Let G be a finite dimensional simple complex group equipped with the standard Poisson Lie group stru...
AbstractWe study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint o...
AbstractThe standard Poisson structure on the rectangular matrix variety Mm,n(C) is investigated, vi...
AbstractWe consider the action of a real semisimple Lie group G on the complexification GC/HC of a s...
The standard Poisson structure on the rectangular matrix variety Mm,n(C) is investigated, via the o...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
The structure of Poisson manifolds is highly nontrivial even locally. The first important result in ...
Sin resumenWe consider the Poisson reduced space (T Q)/K , where the action of the com pact Lie grou...
Let (X,G,ω1,ω2,{ηt}) be a manifold with a bi-Poisson structure {ηt} generated by a pair of G-invaria...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
We construct a Banach Poisson-Lie group structure on the unitary group of a separable complex Hilber...
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