4 citations · 14 across the 7 of their papers we have counts for
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nlin.SI2012
Double Poisson brackets on free associative algebras
A. Odesskii, V. Rubtsov, V. Sokolov
We discuss double Poisson structures in sense of M. Van den Bergh on free associative algebras focusing on the case of quadratic Poisson brackets. We establish their relations with…
nlin.SI2011★ 3 cited
Bi-Hamiltonian ODEs with matrix variables
Alexander Odesskii, Vladimir Rubtsov, Vladimir Sokolov
We consider a special class of linear and quadratic Poisson brackets related to ODE systems with matrix variables. We investigate general properties of such brackets, present an ex…