Click Here to Download: https://ouo.io/ZHb9Dm Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 By: David A. Vogan Jr. Publisher: Princeton University Press Print ISBN: 9780691084824, 0691084823 eText ISBN: 9781400882380, 1400882389 Copyright year: 1988 Format: PDF Available from $ 105.00 USD SKU 9781400882380 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 representation of the general linear groups. For other groups, one expects to need a new construction, giving unipotent representations. The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations. Additional ISBNs 9780691084817, 0691084815
