Classification géométrique des structures internes des systèmes dynamiques à deux spins
Closed forms on symplectic fibre bundles.
Coisotropic bundles and induced representations
Compact symplectic four solvmanifolds without polarizations
Complexified quantum rules
Conformally equivariant quantization : existence and uniqueness
We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-riemannian manifold . In other words, we establish a canonical isomorphism between the spaces of polynomials on and of differential operators on tensor densities over , both viewed as modules over the Lie algebra where . This quantization exists for generic values of the weights of the tensor densities and we compute the critical values of the weights yielding...
Contractions of to the Heisenberg group and Berezin calculus. (Contraction de vers le groupe de Heisenberg et calcul de Berezin.)
Convexity Properties of the Moment Mapping.
Convexity properties of the moment mapping. II.
Convexity properties of the moment mapping. III.
Covariant star-products