Free Delivery Over $100
|
|
|||
|
||||
Awards
OverviewThis 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. Full Product DetailsAuthor: Anthony W. Knapp , David A. VoganPublisher: Princeton University Press Imprint: Princeton University Press Volume: 45 Dimensions: Width: 15.20cm , Height: 5.70cm , Length: 23.50cm Weight: 1.474kg ISBN: 9780691037561ISBN 10: 0691037566 Pages: 968 Publication Date: 21 May 1995 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Language: English 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 NotationIndexReviewsThis 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 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 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 fr Mathematik 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 Author InformationAnthony 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. Tab Content 6Author Website:Countries AvailableAll regions |
||||
