Description

Book Synopsis
Offers a systematic treatment of the development and use of cohomological induction to construct unitary representations. This book develops the necessary background in representation theory and includes an introductory chapter of motivation, a treatment of the "translation principle"���', and four appendices on algebra and analysis.

Trade Review
Winner of the 1996 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers "This book is a thorough and excellent presentation of the 'cohomological' approach to the construction and classification of irreducible representations of semisimple real Lie groups."--Zentralblatt for Mathematik

Table of Contents
PrefacePrerequisites by ChapterStandard NotationIntroductionIHecke AlgebrasIIThe Category C(g, K)IIIDuality TheoremIVReductive PairsVCohomological InductionVISignature TheoremVIITranslation FunctorsVIIIIrreducibility TheoremIXUnitarizability TheoremXMinimal K TypesXITransfer TheoremXIIEpilog: Weakly Unipotent RepresentationsApp. A. Miscellaneous AlgebraApp. B. Distributions on ManifoldsApp. C. Elementary Homological AlgebraApp. D. Spectral SequencesNotesReferencesIndex of NotationIndex

Cohomological Induction and Unitary

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    A Hardback by Anthony W. Knapp, David A. Vogan

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      Book details

      Publisher Princeton University Press
      Published 21 May 1995
      ISBN-13 9780691037561
      978-0691037561
      ISBN-10 0691037566

      Description

      Book Synopsis
      Offers a systematic treatment of the development and use of cohomological induction to construct unitary representations. This book develops the necessary background in representation theory and includes an introductory chapter of motivation, a treatment of the "translation principle"���', and four appendices on algebra and analysis.

      Trade Review
      Winner of the 1996 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers "This book is a thorough and excellent presentation of the 'cohomological' approach to the construction and classification of irreducible representations of semisimple real Lie groups."--Zentralblatt for Mathematik

      Table of Contents
      PrefacePrerequisites by ChapterStandard NotationIntroductionIHecke AlgebrasIIThe Category C(g, K)IIIDuality TheoremIVReductive PairsVCohomological InductionVISignature TheoremVIITranslation FunctorsVIIIIrreducibility TheoremIXUnitarizability TheoremXMinimal K TypesXITransfer TheoremXIIEpilog: Weakly Unipotent RepresentationsApp. A. Miscellaneous AlgebraApp. B. Distributions on ManifoldsApp. C. Elementary Homological AlgebraApp. D. Spectral SequencesNotesReferencesIndex of NotationIndex

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