Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A notion of a bracket compatible with the multiplication is introduced and an effective criterion of such compatibility is given. Among compatible brackets, a subclass of coboundary brackets is described, and such brackets are enumerated in a number of examples
There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommut...
Poisson brackets of special type on n-tuples of N by N matrices may be encoded by double brackets in...
We show that various notions of integrability for Poisson brackets are all equivalent, and we give ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
Summary. We show that for a general quadratic Poisson bracket it is possible to define a lot of asso...
The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras...
The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras...
The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras...
In this paper, we present a method for constructing large families of quadratic Poisson brackets on ...
9 pages, latexWe consider a special class of linear and quadratic Poisson brackets related to ODE sy...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommut...
Poisson brackets of special type on n-tuples of N by N matrices may be encoded by double brackets in...
We show that various notions of integrability for Poisson brackets are all equivalent, and we give ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
Summary. We show that for a general quadratic Poisson bracket it is possible to define a lot of asso...
The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras...
The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras...
The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras...
In this paper, we present a method for constructing large families of quadratic Poisson brackets on ...
9 pages, latexWe consider a special class of linear and quadratic Poisson brackets related to ODE sy...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommut...
Poisson brackets of special type on n-tuples of N by N matrices may be encoded by double brackets in...
We show that various notions of integrability for Poisson brackets are all equivalent, and we give ...
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