%0 Journal Article
%T A counterexample to the existence of a Poisson structure on a twisted group algebra
%A Eliana Zoque
%J Mathematics
%D 2006
%I arXiv
%X Crawley-Boevey introduced the definition of a noncommutative Poisson structure on an associative algebra A that extends the notion of the usual Poisson bracket. Let V be a symplectic manifold and G be a finite group of symplectimorphisms of V. Consider the twisted group algebra A=C[V]#G. We produce a counterexample to prove that it is not always possible to define a noncommutative poisson structure on C[V]#G that extends the Poisson bracket on C[V]^G.
%U http://arxiv.org/abs/math/0608099v1