Crawley-Boevey [1] introduced the definition of a noncommutative Poisson structure on an associative algebra A that extends the notion of the usual Poisson bracket. Let (V, w) be a symplectic mani-fold 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.
AbstractLet D(G) and D(G˜) be the rings of monomial representations of finite groups G and G˜ of odd...
The structure of the unit group of the group algebra of the dihedral group of order 6 over any finit...
The present work splits in two parts: first, we perform a straightforward generalization of results ...
Continuous formal deformations of the Poisson superbracket defined on compactly supported smooth fun...
Recent work indicates an approach to the formulation of diffeomorphism invariant quantum field theor...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
A class of equations describing the geodesic flow for a right-invariant metric on the group of diffe...
Let G be a connected, simply-connected semisimple complex algebraic group with a maximal torus T and...
A class of equations describing the geodesic flow for a right-invariant metric on the group of diffe...
In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq...
AbstractLet k be a field of characteristic p>0 and let K=k((t)) be the field of Laurent series over ...
National audienceWe propose a new method to apply the Lipschitz functional calculus of local Dirichl...
The loop group $G((z^{-1}))$ of a simple complex Lie group $G$ has a natural Poisson structure. We i...
National audienceWe propose a new method to apply the Lipschitz functional calculus of local Dirichl...
The structure of the unit group of the group algebra of the dihedral group of order 6 over any finit...
AbstractLet D(G) and D(G˜) be the rings of monomial representations of finite groups G and G˜ of odd...
The structure of the unit group of the group algebra of the dihedral group of order 6 over any finit...
The present work splits in two parts: first, we perform a straightforward generalization of results ...
Continuous formal deformations of the Poisson superbracket defined on compactly supported smooth fun...
Recent work indicates an approach to the formulation of diffeomorphism invariant quantum field theor...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
A class of equations describing the geodesic flow for a right-invariant metric on the group of diffe...
Let G be a connected, simply-connected semisimple complex algebraic group with a maximal torus T and...
A class of equations describing the geodesic flow for a right-invariant metric on the group of diffe...
In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq...
AbstractLet k be a field of characteristic p>0 and let K=k((t)) be the field of Laurent series over ...
National audienceWe propose a new method to apply the Lipschitz functional calculus of local Dirichl...
The loop group $G((z^{-1}))$ of a simple complex Lie group $G$ has a natural Poisson structure. We i...
National audienceWe propose a new method to apply the Lipschitz functional calculus of local Dirichl...
The structure of the unit group of the group algebra of the dihedral group of order 6 over any finit...
AbstractLet D(G) and D(G˜) be the rings of monomial representations of finite groups G and G˜ of odd...
The structure of the unit group of the group algebra of the dihedral group of order 6 over any finit...
The present work splits in two parts: first, we perform a straightforward generalization of results ...