International audienceAny classical r-matrix on the Lie algebra of linear operators on a real vector space V gives rise to a quadratic Poisson structure on V which admits a deformation quantization stemming from the construction of V. Drinfel'd. We exhibit in this article an example of quadratic Poisson structure which does not arise this way
We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poiss...
AbstractLet α be a quadratic Poisson bivector on a vector space V. Then one can also consider α as a...
We study the deformation complex of the dg wheeled properad of Z-graded quadratic Poisson structures...
AbstractWe classify in this paper Poisson structures on modules over semisimple Lie algebras arising...
In this letter, first we give a decomposition for any Lie-Poisson structure pi(g) associated to the ...
We show how combinatorial star products can be used to obtain strict deformation quantizations of po...
We show how combinatorial star products can be used to obtain strict deformation quantizations of po...
We classify all of the 4-dimensional linear Poisson structures of which the corresponding Lie algebr...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
Summary. We show that for a general quadratic Poisson bracket it is possible to define a lot of asso...
AbstractWe propose a general approach to the formal Poisson cohomology of r-matrix induced quadratic...
We show how combinatorial star products can be used to obtain strict deformation quantizations of po...
We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poiss...
AbstractLet α be a quadratic Poisson bivector on a vector space V. Then one can also consider α as a...
We study the deformation complex of the dg wheeled properad of Z-graded quadratic Poisson structures...
AbstractWe classify in this paper Poisson structures on modules over semisimple Lie algebras arising...
In this letter, first we give a decomposition for any Lie-Poisson structure pi(g) associated to the ...
We show how combinatorial star products can be used to obtain strict deformation quantizations of po...
We show how combinatorial star products can be used to obtain strict deformation quantizations of po...
We classify all of the 4-dimensional linear Poisson structures of which the corresponding Lie algebr...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
We suggest an approach to the quantization problem of two compatible Poisson brackets in the case wh...
Summary. We show that for a general quadratic Poisson bracket it is possible to define a lot of asso...
AbstractWe propose a general approach to the formal Poisson cohomology of r-matrix induced quadratic...
We show how combinatorial star products can be used to obtain strict deformation quantizations of po...
We develop here a simple quantisation formalism that make use of Lie algebra properties of the Poiss...
AbstractLet α be a quadratic Poisson bivector on a vector space V. Then one can also consider α as a...
We study the deformation complex of the dg wheeled properad of Z-graded quadratic Poisson structures...
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