Description
Book SynopsisOffers 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 ReviewWinner 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 ContentsPrefacePrerequisites 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
