Coadjoint orbits in representation theory of pro-Lie groups

Daniel Beltita, Amel Zergane

Published 2017-09-15Version 1

We present a one-to-one correspondence between equivalence classes of unitary irreducible representations and coadjoint orbits for a class of pro-Lie groups including all connected locally compact nilpotent groups and arbitrary infinite direct products of nilpotent Lie groups.