Representations of Real Reductive Lie Groups (Progress in Mathematics, Band 15)

Vogan David A, jr:

ISBN 10: 3764330376 / ISBN 13: 9783764330378

Published by Birkhäuser Verlag GmbH, 1981

About this Item

772 Seiten; 9783764330378.3 Gewicht in Gramm: 2.

Seller Inventory # 1472856

Bibliographic Details

• Title: Representations of Real Reductive Lie Groups (Progress in Mathematics, Band 15)
• Publisher: Birkhäuser Verlag GmbH
• Publication Date: 1981
• Language: English
• ISBN 10: 3764330376
• ISBN 13: 9783764330378
• Binding: hardcover
• Condition: Gut
• Weight: 2 grams
• Seller catalogs:
  • Varia

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.