Resumen de Conformally equivariant quantum Hamiltonians

C. Duval, V. Ovsienko

• Let (M, g) be a pseudo-Riemannian manifold and Fλ(M) the space of densities of degree λ on M. We study the space D2λ,μ(M) of second-order differential operators from Fλ(M) to Fμ(M) . If (M, g) is conformally flat with signature p - q, then D2λ,μ(M) is viewed as a module over the group of conformal transformations of M. It turns out that, for almost all values of μ−λ , the O(p+1, q+1)-modules D2λ,μ(M) and the space of symbols (i.e., of second-order polynomials on T∗M ) are canonically isomorphic...