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 le...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Vogan, David A. 1954- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Princeton, NJ Princeton University Press [1987]
Schriftenreihe:	Annals of Mathematics Studies number 118
Schlagworte:	Lie groups Representations of Lie groups Reduktive Lie-Gruppe Darstellungstheorie Unitäre Darstellung
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Zusammenfassung:	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
Beschreibung:	Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016)
Beschreibung:	1 online resource
ISBN:	9781400882380
DOI:	10.1515/9781400882380