Generic Representations are Induced from Square-Integrable Representations
Generic Representations are Induced from Square-Integrable Representations
It is proven for arbitrary real algebraic groups that the generic irreducible unitary representation is induced from a square-integrable representation (modulo the projective kernel).This generalizes the well-known result for reductive groups that the generic representations are either discrete series, or induced from discrete series (modulo the nilradical) representations of cuspidal …