Invariant star-products on symplectic manifolds
Considering a Lie subalgebra G of the Lie algebra of symplectic vector fields on a symplectic manifold (M,F), the authors prove that every one- differentiable deformation of order k of the Poisson Lie algebra of M, which is invariant with respect to G, extends to an invariant one- differentiable deformation of infinite order. In particular, if M admits a G-invariant linear connection, a similar result holds for differentiable deformations and for star-products. In this case there always exists a G-invariant star-product.
scientific article; zbMATH DE number 3947103