Cohomological induction and unitary representations (Record no. 565372)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02143 a2200277 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220510150338.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220509b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780691037561 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.55 |
| Item number | K727c |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Knapp, Anthony W. |
| 245 ## - TITLE STATEMENT | |
| Title | Cohomological induction and unitary representations |
| Statement of responsibility, etc | Anthony W. Knapp and David A. Vogan |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Princeton University Press |
| Year of publication | 1995 |
| Place of publication | Princeton |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xvii, 948p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Princeton Mathematical series |
| 490 ## - SERIES STATEMENT | |
| Series statement | / edited by Luis A. Caffarelli, John N. Mather and Elias M. Stein ; 45 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Semisimple Lie groups |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Representations of groups |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Homology theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Harmonic analysis |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vogan, David A. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Permanent Location | Current Location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 2022-05-17 | 7 | 10026.50 | 512.55 K727c | A185709 | 15191.66 | Books |