Cohomological induction and unitary representations / Anthony W. Knapp and David A. Vogan, Jr.

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...

• Main Author: Knapp, Anthony W.
• Other Authors: Vogan, David A., 1954-
• Format: Book
• Language: English
• Published: Princeton, N.J. : Princeton University Press, 1995.
• Series: Princeton mathematical series ; no. 45
• Subjects: Semisimple Lie groups; Grupos de Lie semisimples; Representations of groups; Homology theory; Harmonic analysis

Table of Contents:

• 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.