Resumen de Energy machineries on a manifold; application to the construction of new energy representations of gauge groups

Jean-Paul Marion

• The introduction of the concepts of energy machinery and energy structure on a manifold makes it possible a large class of energy representations of gauge groups including, as a very particular case, the ones known up to now. By using an adaptation of methods initiated by I. M. Gelfand, we provide a sufficient condition for the irreducibility of these representations.