2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218252We develop a pseudo-differential Weyl calculus on nilpotent Lie groups which allows one to deal with magnetic perturbations of right invariant vector fields. For this purpose we investigate an infinite-dimensional Lie group constructed as the semidirect product of a nilpotent Lie grup and an appropriate function space thereon. We single out an appropriate coadjoint orbit in the semidirect product and construct our pseudo-differential calculus as a Weyl quantization of that orbit.24 pagesMathematical PhysicsAnalysis of PDEs47G30; 22E25; 22E65; 35S05text