Cohomological Induction and Unitary Representations:
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...
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2016]
|
| Schriftenreihe: | Princeton mathematical series
45 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Oct. 27, 2016) |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781400883936 |
| DOI: | 10.1515/9781400883936 |
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| 490 | 1 | |a Princeton mathematical series |v 45 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed Oct. 27, 2016) | ||
| 520 | |a 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 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Homology theory | |
| 650 | 4 | |a Representations of groups | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Knapp, Anthony W. 1941- Vogan, David A. 1954- |
| author_GND | (DE-588)132959690 (DE-588)172435285 |
| author_facet | Knapp, Anthony W. 1941- Vogan, David A. 1954- |
| author_role | aut aut |
| author_sort | Knapp, Anthony W. 1941- |
| author_variant | a w k aw awk d a v da dav |
| building | Verbundindex |
| bvnumber | BV043979318 |
| classification_rvk | SK 340 SK 350 |
| collection | ZDB-23-PMS ZDB-23-DGG |
| ctrlnum | (ZDB-23-DGG)9781400883936 (OCoLC)948780948 (DE-599)BVBBV043979318 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400883936 |
| format | Electronic eBook |
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| id | DE-604.BV043979318 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:40:13Z |
| institution | BVB |
| isbn | 9781400883936 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029387755 |
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| publishDate | 2016 |
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| publisher | Princeton University Press |
| record_format | marc |
| series | Princeton mathematical series |
| series2 | Princeton mathematical series |
| spelling | Knapp, Anthony W. 1941- (DE-588)132959690 aut Cohomological Induction and Unitary Representations Anthony W. Knapp, David A. Vogan Princeton, NJ Princeton University Press [2016] © 1995 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Princeton mathematical series 45 Description based on online resource; title from PDF title page (publisher's Web site, viewed Oct. 27, 2016) 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 Harmonic analysis Homology theory Representations of groups Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Halbeinfache Lie-Gruppe (DE-588)4122188-6 s Darstellungstheorie (DE-588)4148816-7 s Homologietheorie (DE-588)4141714-8 s Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 Vogan, David A. 1954- (DE-588)172435285 aut Erscheint auch als Druck-Ausgabe 0-691-03756-6 Princeton mathematical series 45 (DE-604)BV045898993 45 https://doi.org/10.1515/9781400883936?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Knapp, Anthony W. 1941- Vogan, David A. 1954- Cohomological Induction and Unitary Representations Princeton mathematical series Harmonic analysis Homology theory Representations of groups Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Homologietheorie (DE-588)4141714-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4122188-6 (DE-588)4141714-8 (DE-588)4148816-7 (DE-588)4023453-8 |
| title | Cohomological Induction and Unitary Representations |
| title_auth | Cohomological Induction and Unitary Representations |
| title_exact_search | Cohomological Induction and Unitary Representations |
| title_full | Cohomological Induction and Unitary Representations Anthony W. Knapp, David A. Vogan |
| title_fullStr | Cohomological Induction and Unitary Representations Anthony W. Knapp, David A. Vogan |
| title_full_unstemmed | Cohomological Induction and Unitary Representations Anthony W. Knapp, David A. Vogan |
| title_short | Cohomological Induction and Unitary Representations |
| title_sort | cohomological induction and unitary representations |
| topic | Harmonic analysis Homology theory Representations of groups Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Homologietheorie (DE-588)4141714-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Harmonic analysis Homology theory Representations of groups Semisimple Lie groups Halbeinfache Lie-Gruppe Homologietheorie Darstellungstheorie Harmonische Analyse |
| url | https://doi.org/10.1515/9781400883936?locatt=mode:legacy |
| volume_link | (DE-604)BV045898993 |
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