Cohomological Induction and Unitary Representations - Couverture rigide

Knapp, Anthony W.; Vogan Jr., David A.

Couverture rigide

ISBN 10 : 0691037566 ISBN 13 : 9780691037561

Editeur : Princeton University Press, 1995

Synopsis

This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups.

The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis.

A propos du livre

À propos de l'auteur

Anthony W. Knapp is Professor of Mathematics at the State University of New York at Stony Brook. David A. Vogan, Jr., is Professor of Mathematics at the Massachusetts Institute of Technology.

Détails de l'édition

• Éditeur: Princeton University Press
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 0691037566
• ISBN 13: 9780691037561
• Reliure: Relié
• Nombre de pages: 968
• Coordonnées du fabricant: Princeton University Press; https://press.princeton.edu/books; ; 7th Floor, New South Building; PRINCETON; NJ; 8544; Etats-Unis
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