Induced representations of locally compact groups:
The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introd...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2013
|
| Series: | Cambridge tracts in mathematics
197 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research |
| Physical Description: | 1 Online-Ressource (xiii, 343 Seiten) |
| ISBN: | 9781139045391 |
| DOI: | 10.1017/CBO9781139045391 |
Staff View
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| 520 | |a The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research | ||
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| author | Kaniuth, Eberhard 1937-2017 Taylor, Keith F. 1950- |
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| contents | Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications |
| ctrlnum | (ZDB-20-CBO)CR9781139045391 (OCoLC)847031101 (DE-599)BVBBV043941859 |
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| id | DE-604.BV043941859 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9781139045391 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350829 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xiii, 343 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Kaniuth, Eberhard 1937-2017 Verfasser (DE-588)1034402919 aut Induced representations of locally compact groups Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia Cambridge Cambridge University Press 2013 1 Online-Ressource (xiii, 343 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 197 Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research Locally compact groups Topological spaces Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 s Darstellungstheorie (DE-588)4148816-7 s Topologischer Raum (DE-588)4137586-5 s DE-604 Taylor, Keith F. 1950- Verfasser (DE-588)170912477 aut Erscheint auch als Druck-Ausgabe 978-0-521-76226-7 https://doi.org/10.1017/CBO9781139045391 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kaniuth, Eberhard 1937-2017 Taylor, Keith F. 1950- Induced representations of locally compact groups Basics -- Induced representations -- The imprimitivity theorem -- Mackey analysis -- Topologies on dual spaces -- Topological Frobenius properties -- Further applications Locally compact groups Topological spaces Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4168094-7 (DE-588)4137586-5 |
| title | Induced representations of locally compact groups |
| title_auth | Induced representations of locally compact groups |
| title_exact_search | Induced representations of locally compact groups |
| title_full | Induced representations of locally compact groups Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia |
| title_fullStr | Induced representations of locally compact groups Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia |
| title_full_unstemmed | Induced representations of locally compact groups Eberhard Kaniuth, University of Paderborn, Germany, Keith F. Taylor, Dalhousie University, Nova Scotia |
| title_short | Induced representations of locally compact groups |
| title_sort | induced representations of locally compact groups |
| topic | Locally compact groups Topological spaces Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| topic_facet | Locally compact groups Topological spaces Representations of groups Darstellungstheorie Lokal kompakte Gruppe Topologischer Raum |
| url | https://doi.org/10.1017/CBO9781139045391 |
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