Cohomological Induction and Unitary Representations (häftad)
Fler böcker inom
Format
Inbunden (Hardback)
Språk
Engelska
Serie
Princeton Mathematical Series
Antal sidor
968
Utgivningsdatum
1995-05-21
Förlag
Princeton University Press
Dimensioner
240 x 160 x 50 mm
Vikt
1380 g
ISBN
9780691037561

Cohomological Induction and Unitary Representations

av Anthony W Knapp, David A Vogan, Anthony W Knapp, David A Vogan
Inbunden,  Engelska, 1995-05-21
1775
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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 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.

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Fler böcker av författarna

Anthony W Knapp, David A Vogan, Anthony W Knapp, David A Vogan

Övrig information

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.

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