Characters of connected Lie groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1999
|
| Schriftenreihe: | Mathematical surveys and monographs
71 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 128 S. |
| ISBN: | 082181088X |
Internformat
MARC
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| 100 | 1 | |a Pukanszky, Lajos |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Characters of connected Lie groups |c Lajos Pukánszky |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1999 | |
| 300 | |a XVII, 128 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v 71 | |
| 650 | 7 | |a Caractères de groupes |2 ram | |
| 650 | 7 | |a Characters |2 gtt | |
| 650 | 7 | |a Lie, Groupes de |2 ram | |
| 650 | 7 | |a Lie-groepen |2 gtt | |
| 650 | 7 | |a Représentations de groupes |2 ram | |
| 650 | 4 | |a Characters of groups | |
| 650 | 4 | |a Lie groups | |
| 650 | 4 | |a Representations of Lie groups | |
| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Charakter |g Gruppentheorie |0 (DE-588)4158438-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lie-Gruppe |0 (DE-588)4035695-4 |D s |
| 689 | 0 | 1 | |a Charakter |g Gruppentheorie |0 (DE-588)4158438-7 |D s |
| 689 | 0 | 2 | |a Darstellungstheorie |0 (DE-588)4148816-7 |D s |
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Datensatz im Suchindex
| _version_ | 1804127886077067264 |
|---|---|
| adam_text | Contents
Preface ix
Foreword xi
Introduction xiii
Some notation used throughout the book xvii
CHAPTER I. Unitary Representations
of Locally Algebraic Groups 1
1.1. On a theorem of Chevalley 1
1.2. Locally algebraic groups 1
1.3. Proof of Main Lemma 8
1.4. Application to the regular representation of a connected Lie group 20
CHAPTER II. Representations of Elementary Groups 31
2.1. Special case: Extensions of free abelian groups 31
2.2. Proof of Main Proposition 39
2.3. Primitive ideals of class one 45
2.4. Surjectivity; first step 46
2.5. Surjectivity; second step 48
2.6. Proof of Lemma 4 50
2.7. Surjectivity; last step 52
2.8. Summary 53
CHAPTER III. Existence of Characters 55
3.1. Some subgroups of G 55
3.2. The orbits of 3 63
3.3. Proof that J is surjective 69
3.4. Technical tools 74
3.5. Existence of normal representations with given kernels 86
3.6. The type I case 90
3.7. The non type I case 90
3.8. Proof of principal result 98
3.9. The theorem of Poguntke 99
CHAPTER IV. Generalized Kirillov Theory 101
4.1. Preliminary facts 102
4.2. Construction of holomorphic representations 103
4.3. Extension of an irreducible representation 105
4.4. Computation of UK and Kn 108
vii
viii CONTENTS
4.5. Holomorphically induced representations 112
4.6. Proof that ind is independent of the polarization 115
4.7. Condition for unitary equivalence 116
4.8. Regularized orbits 117
4.9. Generalized orbits 119
4.10. Auxiliary facts 121
4.11. Proof that J is surjective 123
4.12. Construction of a normal representation with kernel J 124
4.13. Type one primitive ideals 125
References 127
|
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| author | Pukanszky, Lajos |
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| classification_tum | MAT 225f |
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| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013184610 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:40:28Z |
| institution | BVB |
| isbn | 082181088X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008983746 |
| oclc_num | 41338103 |
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| physical | XVII, 128 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Pukanszky, Lajos Verfasser aut Characters of connected Lie groups Lajos Pukánszky Providence, RI American Mathematical Society 1999 XVII, 128 S. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 71 Caractères de groupes ram Characters gtt Lie, Groupes de ram Lie-groepen gtt Représentations de groupes ram Characters of groups Lie groups Representations of Lie groups Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Charakter Gruppentheorie (DE-588)4158438-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s Charakter Gruppentheorie (DE-588)4158438-7 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Mathematical surveys and monographs 71 (DE-604)BV000018014 71 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008983746&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pukanszky, Lajos Characters of connected Lie groups Mathematical surveys and monographs Caractères de groupes ram Characters gtt Lie, Groupes de ram Lie-groepen gtt Représentations de groupes ram Characters of groups Lie groups Representations of Lie groups Darstellungstheorie (DE-588)4148816-7 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4158438-7 (DE-588)4035695-4 |
| title | Characters of connected Lie groups |
| title_auth | Characters of connected Lie groups |
| title_exact_search | Characters of connected Lie groups |
| title_full | Characters of connected Lie groups Lajos Pukánszky |
| title_fullStr | Characters of connected Lie groups Lajos Pukánszky |
| title_full_unstemmed | Characters of connected Lie groups Lajos Pukánszky |
| title_short | Characters of connected Lie groups |
| title_sort | characters of connected lie groups |
| topic | Caractères de groupes ram Characters gtt Lie, Groupes de ram Lie-groepen gtt Représentations de groupes ram Characters of groups Lie groups Representations of Lie groups Darstellungstheorie (DE-588)4148816-7 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Caractères de groupes Characters Lie, Groupes de Lie-groepen Représentations de groupes Characters of groups Lie groups Representations of Lie groups Darstellungstheorie Charakter Gruppentheorie Lie-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008983746&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT pukanszkylajos charactersofconnectedliegroups |