This book contains accounts of talks held at a symposium in honor
of John C. Moore in October 1983 at Princeton University, The work
includes papers in classical homotopy theory, homological algebra,
rational homotopy theory, algebraic K-theory of spaces, and other
subjects.

This 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, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary...