Square integrable projective representations and square integrable representations modulo a relatively central subgroup (I): basic results

Abstract

We introduce the notion of square integrable group representation modulo a relatively central subgroup and, establishing a link with square integrable projective representations, we prove a generalization of a classical theorem of Duflo and Moore. As an example, we apply the results obtained to the Weyl-Heisenberg group.

LaTex file, no figures, 40 pages (minor additions and corrections)