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Cohomological Induction and Unitary Representations (PMS-45), Volume 45
Anthony W. Knapp
€ 218.71
€ 161.97
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Description for Cohomological Induction and Unitary Representations (PMS-45), Volume 45
Hardback. 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. Series: Princeton Mathematical Series. Num Pages: 968 pages. BIC Classification: PBF; PBPD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 57. Weight in Grams: 1571.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
1995
Publisher
Princeton University Press United States
Number of pages
966
Condition
New
Series
Princeton Mathematical Series
Number of Pages
968
Place of Publication
New Jersey, United States
ISBN
9780691037561
SKU
V9780691037561
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Anthony W. Knapp
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.
Reviews for Cohomological Induction and Unitary Representations (PMS-45), Volume 45
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
Zentralblatt for Mathematik