The theory of unitary group representations:
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| Previous Title: | Mackey, George Whitelaw The Theory of group representations |
|---|---|
| Main Author: | |
| Format: | Book |
| Language: | English |
| Published: |
Chicago [u.a.]
<<The>> University of Chicago Press
1976
|
| Series: | Chicago lectures in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 372 S. |
| ISBN: | 0226500519 0226500527 |
Staff View
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| 650 | 4 | |a Représentations de groupes | |
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| 650 | 4 | |a Unitary groups | |
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| 780 | 0 | 0 | |i Früher u.d.T. |a Mackey, George Whitelaw |t The Theory of group representations |
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Record in the Search Index
| _version_ | 1804116700371615744 |
|---|---|
| adam_text | CONTENTS
Preface vii
Introduction 1
1. Global Representation Theory 11
2. Direct Integral Decomposition Theory 65
2. 1. Introduction 65
2. 2. Borel Structures 69
2. 3. Borel Spaces of Group Representations 77
2.4. Definition of Direct Integrals of Representations . . 85
2. 5. The Structure of Complete Boolean Algebras of
Projections 92
2.6. Direct Integral Decomposition of Representations. . 102
2. 7. Comparison of Different Irreducible
Decompositions 112
2.8. Multiplicity Free Representations 118
3. Connections between the Representations of a Group
and Representations of its Subgroups 125
3.1. The Kronecker Product 125
3. 2. Definition and Elementary Properties of Induced
Representations 130
3. 3. The Reduction of Induced Representations
for Finite Groups 138
3.4. The Reduction of Induced Representations
for Infinite Groups .152
v
vi
3.5. An Example of Non uniqueness of Direct Integral
Decompositions 159
3. 6. A Generalization of the Frobenius Reciprocity
Theorem 162
3. 7. Systems of Imprimitivity 170
3.8. The Analysis of the Representations of G in terms
of those of its Subgroups 182
3.9. Examples 194
3. 10. The General Case. Projective Representations . . . 199
Appendix 209
Bibliography 359
|
| any_adam_object | 1 |
| author | Mackey, George W. 1916-2006 |
| author_GND | (DE-588)135856620 |
| author_facet | Mackey, George W. 1916-2006 |
| author_role | aut |
| author_sort | Mackey, George W. 1916-2006 |
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| bvnumber | BV002244414 |
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| callnumber-subject | QA - Mathematics |
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| ctrlnum | (OCoLC)2372929 (DE-599)BVBBV002244414 |
| dewey-full | 512/.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.22 |
| dewey-search | 512/.22 |
| dewey-sort | 3512 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:42:40Z |
| institution | BVB |
| isbn | 0226500519 0226500527 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001474984 |
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| physical | X, 372 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | <<The>> University of Chicago Press |
| record_format | marc |
| series2 | Chicago lectures in mathematics |
| spelling | Mackey, George W. 1916-2006 Verfasser (DE-588)135856620 aut The theory of unitary group representations George W. Mackey Chicago [u.a.] <<The>> University of Chicago Press 1976 X, 372 S. txt rdacontent n rdamedia nc rdacarrier Chicago lectures in mathematics Groepentheorie gtt Grupos Topologicos larpcal Representatie (wiskunde) gtt Représentations de groupes Representations of groups Unitary groups Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Unitäre Darstellung (DE-588)4186906-0 gnd rswk-swf Unitäre Gruppe (DE-588)4261524-0 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s Unitäre Darstellung (DE-588)4186906-0 s DE-604 Unitäre Gruppe (DE-588)4261524-0 s Darstellung Mathematik (DE-588)4128289-9 s Gruppe Mathematik (DE-588)4022379-6 s Zahlentheorie (DE-588)4067277-3 s Darstellungstheorie (DE-588)4148816-7 s Früher u.d.T. Mackey, George Whitelaw The Theory of group representations HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474984&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mackey, George W. 1916-2006 The theory of unitary group representations Groepentheorie gtt Grupos Topologicos larpcal Representatie (wiskunde) gtt Représentations de groupes Representations of groups Unitary groups Darstellungstheorie (DE-588)4148816-7 gnd Gruppentheorie (DE-588)4072157-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Zahlentheorie (DE-588)4067277-3 gnd Gruppe Mathematik (DE-588)4022379-6 gnd Unitäre Darstellung (DE-588)4186906-0 gnd Unitäre Gruppe (DE-588)4261524-0 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4072157-7 (DE-588)4128289-9 (DE-588)4067277-3 (DE-588)4022379-6 (DE-588)4186906-0 (DE-588)4261524-0 |
| title | The theory of unitary group representations |
| title_auth | The theory of unitary group representations |
| title_exact_search | The theory of unitary group representations |
| title_full | The theory of unitary group representations George W. Mackey |
| title_fullStr | The theory of unitary group representations George W. Mackey |
| title_full_unstemmed | The theory of unitary group representations George W. Mackey |
| title_old | Mackey, George Whitelaw The Theory of group representations |
| title_short | The theory of unitary group representations |
| title_sort | the theory of unitary group representations |
| topic | Groepentheorie gtt Grupos Topologicos larpcal Representatie (wiskunde) gtt Représentations de groupes Representations of groups Unitary groups Darstellungstheorie (DE-588)4148816-7 gnd Gruppentheorie (DE-588)4072157-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Zahlentheorie (DE-588)4067277-3 gnd Gruppe Mathematik (DE-588)4022379-6 gnd Unitäre Darstellung (DE-588)4186906-0 gnd Unitäre Gruppe (DE-588)4261524-0 gnd |
| topic_facet | Groepentheorie Grupos Topologicos Representatie (wiskunde) Représentations de groupes Representations of groups Unitary groups Darstellungstheorie Gruppentheorie Darstellung Mathematik Zahlentheorie Gruppe Mathematik Unitäre Darstellung Unitäre Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474984&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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