AbstractWe study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint orbit O of a semisimple Lie algebra. We prove that P(O) splits into a direct sum of its Lie center and its derived Lie ideal. We also show that P(O) is simple as a Poisson algebra iff O is semisimple
AbstractWe show that a Poisson structure can be induced on the affine moduli space of (semisimple) r...
AbstractFirst we briefly describe two previously published algorithms: one that constructs a Cartan ...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
AbstractWe study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint o...
AbstractWe show that the Poisson structure transverse to a coadjoint orbit in the dual of a semisimp...
Let $W = \mathbb{C}[t,t^{-1}]\partial_t$ be the Witt algebra of algebraic vector fields on $\mathbb{...
We study properties of a family of algebraic star products defined on coadjoint orbits of semisimple...
International audienceLet p denote a maximal (truncated) parabolic subalgebra of a simple Lie algebr...
A method for the deformation quantization of coadjoint orbits of semisimple Lie groups is proposed. ...
We present some basic results on a natural Poisson structure on any compact symmetric space. The sym...
AbstractPoisson algebra is usually defined to be a commutative algebra together with a Lie bracket, ...
We discuss and compare two different approaches to the notionof Mishchenko–Fomenko subalgebras in Po...
We show that the leaves of an LA-groupoid which pass through the unit manifold are, modulo a connect...
24 pagesLet $\go{g}$ be a finite-dimensional semi-simple Lie algebra, $\go{h}$ a Cartan subalgebra o...
In this paper we consider the problem of deformation quantization of the algebra of polynomial funct...
AbstractWe show that a Poisson structure can be induced on the affine moduli space of (semisimple) r...
AbstractFirst we briefly describe two previously published algorithms: one that constructs a Cartan ...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
AbstractWe study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint o...
AbstractWe show that the Poisson structure transverse to a coadjoint orbit in the dual of a semisimp...
Let $W = \mathbb{C}[t,t^{-1}]\partial_t$ be the Witt algebra of algebraic vector fields on $\mathbb{...
We study properties of a family of algebraic star products defined on coadjoint orbits of semisimple...
International audienceLet p denote a maximal (truncated) parabolic subalgebra of a simple Lie algebr...
A method for the deformation quantization of coadjoint orbits of semisimple Lie groups is proposed. ...
We present some basic results on a natural Poisson structure on any compact symmetric space. The sym...
AbstractPoisson algebra is usually defined to be a commutative algebra together with a Lie bracket, ...
We discuss and compare two different approaches to the notionof Mishchenko–Fomenko subalgebras in Po...
We show that the leaves of an LA-groupoid which pass through the unit manifold are, modulo a connect...
24 pagesLet $\go{g}$ be a finite-dimensional semi-simple Lie algebra, $\go{h}$ a Cartan subalgebra o...
In this paper we consider the problem of deformation quantization of the algebra of polynomial funct...
AbstractWe show that a Poisson structure can be induced on the affine moduli space of (semisimple) r...
AbstractFirst we briefly describe two previously published algorithms: one that constructs a Cartan ...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
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