Strictly small representations and a reduction theorem for the unitary dual

First published in Representation Theory in Vol 5, 2001. Published by the American Mathematical Society.To any irreducible unitary representation X of a real reductive Lie group we associate in a canonical way, a Levi subgroup Gsu and a representation of this subgroup. Assuming a conjecture of the authors on the infinitesimal character of X, we show that X is cohomologically induced from a unitary representation of the subgroup Gsu. This subgroup is in some cases smaller than the subgroup Gu that the authors attached to X in earlier work. In those cases this provides a further reduction to the classification problem

On unitary representations with regular infinitesimal character

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1986.MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE.Bibliography: leaves 154-155.by Susana A. Salamanca Riba.Ph.D