Knapp / Vogan Cohomological Induction and Unitary Representations

1. Auflage 2016
ISBN: 978-1-4008-8393-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 968 Seiten

Reihe: Princeton Mathematical Series

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.

Autoren/Hrsg.

Knapp, Anthony W.

Vogan, David A.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

Preface

Prerequisites by Chapter

Standard Notation

Introduction

I Hecke Algebras

II The Category C(g, K)

III Duality Theorem

IV Reductive Pairs

V Cohomological Induction

VI Signature Theorem

VII Translation Functors

VIII Irreducibility Theorem

IX Unitarizability Theorem

X Minimal K Types

XI Transfer Theorem

XII Epilog: Weakly Unipotent Representations

App. A. Miscellaneous Algebra

App. B. Distributions on Manifolds

App. C. Elementary Homological Algebra

App. D. Spectral Sequences

Notes

References

Index of Notation

Index

Über Autor(innen)

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.