Representations of real reductive Lie groups.

David A., Vogan:

ISBN 10: 3764330376 / ISBN 13: 9783764330378

Published by Boston, Birkhäuser, 1981

About this Item

754 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. 3764330376 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2341298

Bibliographic Details

• Title: Representations of real reductive Lie groups.
• Publisher: Boston, Birkhäuser
• Publication Date: 1981
• Language: English
• ISBN 10: 3764330376
• ISBN 13: 9783764330378
• Binding: Hardcover
• Seller catalogs:
  • TA Allgemeine Naturwissenschaften

About this title

Synopsis

A large and powerful algebraic theory for the study of infinite dimensional representations of real reductive Lie groups has been developed. It already plays an important role even in purely analytic problems. This book describes the foundations of that theory, including some material not previously available in the literature.

From the Back Cover

A large and powerful algebraic theory for the study of infinite dimensional representations of real reductive Lie groups has been developed. It already plays an important role even in purely analytic problems. This book describes the foundations of that theory, including some material not previously available in the literature. There are three major topics. The first is the Langlands construction and classification of the irreducible representations. This is done using a generalization of parabolic induction due to Zuckerman. The second topic is the analysis of reducibility in certain standard families of representations. Finally, conjectural character formulas for arbitrary irreducible representations are formulated. An interpretation of the formulas in term of Goresky-MacPherson cohomology, generalizing the Kazhdan-Lusztig conjecture for Verma modules is given.