Unitary Representations of Reductive Lie Groups. (Am-118), Volume 118This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction,
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Unitary Representations of Reductive Lie Groups. (Am-118), Volume 118