Recently it has been shown that antibrackets may be expressed in terms of Poisson brackets and vice versa for commuting functions in the original bracket. Here we also introduce generalized brackets involving higher antibrackets or higher Poisson brackets where the latter are of a new type. We give generating functions for these brackets for functions in arbitrary involutions in the original bracket. We also give master equations for generalized Maurer-Cartan equations. The presentation is completely symmetric with respect to Poisson brackets and antibrackets
summary:An $n$-ary Poisson bracket (or generalized Poisson bracket) on the manifold $M$ is a skew-sy...
summary:An $n$-ary Poisson bracket (or generalized Poisson bracket) on the manifold $M$ is a skew-sy...
The nonholonomic dynamics can be described by the so-called nonholonomic bracket in the constrained ...
We discuss double Poisson structures in sense of M. Van den Bergh on free associative algebras focus...
Poisson brackets of special type on n-tuples of N by N matrices may be encoded by double brackets in...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
In this paper, generalizing the construction of \cite{HP1}, we equip the relative moduli stack of co...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
Motivated by Poisson structures for complex fluids containing cocycles, such as the Poisson structu...
On a Poisson manifold, the divergence of a hamiltonian vector field is a derivation of the algebra o...
We exhibit new examples of double quasi-Poisson brackets, based on some classification results and t...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
We give an explicit formula showing how the double Poisson algebra introduced in \cite{VdB} appears ...
We give an explicit formula showing how the double Poisson algebra introduced in \cite{VdB} appears ...
Double (quasi-)Poisson algebras were introduced by Van den Bergh as non-commutative analogues of alg...
summary:An $n$-ary Poisson bracket (or generalized Poisson bracket) on the manifold $M$ is a skew-sy...
summary:An $n$-ary Poisson bracket (or generalized Poisson bracket) on the manifold $M$ is a skew-sy...
The nonholonomic dynamics can be described by the so-called nonholonomic bracket in the constrained ...
We discuss double Poisson structures in sense of M. Van den Bergh on free associative algebras focus...
Poisson brackets of special type on n-tuples of N by N matrices may be encoded by double brackets in...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
In this paper, generalizing the construction of \cite{HP1}, we equip the relative moduli stack of co...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
Motivated by Poisson structures for complex fluids containing cocycles, such as the Poisson structu...
On a Poisson manifold, the divergence of a hamiltonian vector field is a derivation of the algebra o...
We exhibit new examples of double quasi-Poisson brackets, based on some classification results and t...
A double Poisson bracket, in the sense of M. Van den Bergh, is an operation on an associative algebr...
We give an explicit formula showing how the double Poisson algebra introduced in \cite{VdB} appears ...
We give an explicit formula showing how the double Poisson algebra introduced in \cite{VdB} appears ...
Double (quasi-)Poisson algebras were introduced by Van den Bergh as non-commutative analogues of alg...
summary:An $n$-ary Poisson bracket (or generalized Poisson bracket) on the manifold $M$ is a skew-sy...
summary:An $n$-ary Poisson bracket (or generalized Poisson bracket) on the manifold $M$ is a skew-sy...
The nonholonomic dynamics can be described by the so-called nonholonomic bracket in the constrained ...