2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101993We study the twisted Weyl symbol of metaplectic operators; this requires the definition of an index for symplectic paths related to the Conley-Zehnder index. We thereafter define a metaplectically covariant algebra of pseudo-differential operators acting on functions on symplectic space.Mathematical PhysicsOperator AlgebrasRepresentation TheorySymplectic Geometrytext