The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras. These brackets are shown to be quadratic and their relations with the classical Yang-Baxter equation are revealed. The Letter also contains a description of Poisson Lie structures on Lie groups whose Lie algebras are adjacent to an associative structure
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
18 pages, LATEX2, ws-ijgmmp style. Few typos corrected, aknowledgements addedWe discuss associative ...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
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...
There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommut...
The present paper is a first step toward establishing connections between solutions of the classical...
contain these Terms of use. This paper has been digitized, optimized for electronic delivery and sta...
Summary. We show that for a general quadratic Poisson bracket it is possible to define a lot of asso...
International audienceWe introduce the notion of quadratic (resp. symplectic quadratic) Poisson alge...
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 ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
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...
18 pages, LATEX2, ws-ijgmmp style. Few typos corrected, aknowledgements addedWe discuss associative ...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
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...
There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommut...
The present paper is a first step toward establishing connections between solutions of the classical...
contain these Terms of use. This paper has been digitized, optimized for electronic delivery and sta...
Summary. We show that for a general quadratic Poisson bracket it is possible to define a lot of asso...
International audienceWe introduce the notion of quadratic (resp. symplectic quadratic) Poisson alge...
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 ...
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A ...
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...
18 pages, LATEX2, ws-ijgmmp style. Few typos corrected, aknowledgements addedWe discuss associative ...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
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