Square Integrable Representations of Nilpotent Groups
Square Integrable Representations of Nilpotent Groups
We study square integrable irreducible unitary representations (i.e. matrix coefficients are to be square integrable mod the center) of simply connected nilpotent Lie groups N, and determine which such groups have such representations. We show that if N has one such square integrable representation, then almost all (with respect to …