The oscillator duality correspondence for the pair O(2,2), Sp(2,R):
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1989
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
403 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001611938&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Volume 79, Number 403 (third of 4 numbers) |
| Umfang: | IX, 105 S. |
| ISBN: | 0821824643 |
Internformat
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| 245 | 1 | 0 | |a The oscillator duality correspondence for the pair O(2,2), Sp(2,R) |c Tomasz Przebinda |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1989 | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 1442392 |
|---|---|
| _version_ | 1821932641815887872 |
| adam_text | TABLE OF CONTENTS
pages
Notation iii
Introduction vii
I. The Oscillator Duality Correspondence 1
§1. Reductive Dual Pairs 1
§2. The Oscillator Representation 3
§3. The Mixed and Schrodinger Models 6
§4. The Fock Models 9
§5. The degree of a representation in the Oscillator Duality 13
Correspondence
II. A classification of irreducible representations 19
§1. The maximal compact subgroups 19
§2. The Cuspidal Data 23
§3. The Character Data 28
§4. The Unitary Dual of Sp(2,R) 32
§5. The Unitary Dual of 02 2 36
III. R(02,2 • Sp(2,»),u) 41
§1. 0(2,2) x Sp(l,R) 41
§2. The discrete series of 02 2, * ^
§3. The discrete series of 02 2, II 49
§4. The principal series 59
§5. The maximal parabolics 6 5
§6. Completeness of the list and unitarity 72
Appendix A. The Unitary Dual of Sp(2,R) 75
§1. Lowest K types 7 5
§2. Decomposition of the principal series 77
§3. The unitary representations attached to Hq 80
§4. The representations induced from maximal parabolic subgroups 93
Appendix B. The Smooth Frobenius Reciprocity Theorem 94
Appendix C. The determinant representation of O(p,q) and the 95
Oscillator Duality Correspondence
|
| any_adam_object | 1 |
| author | Przebinda, Tomasz |
| author_facet | Przebinda, Tomasz |
| author_role | aut |
| author_sort | Przebinda, Tomasz |
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| classification_tum | MAT 202f |
| ctrlnum | (OCoLC)19455850 (DE-599)BVBBV002502298 |
| dewey-full | 510 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.2 |
| dewey-search | 510 512/.2 |
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| id | DE-604.BV002502298 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:51:27Z |
| institution | BVB |
| isbn | 0821824643 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001611938 |
| oclc_num | 19455850 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-703 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-703 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-83 DE-188 |
| physical | IX, 105 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Przebinda, Tomasz The oscillator duality correspondence for the pair O(2,2), Sp(2,R) American Mathematical Society: Memoirs of the American Mathematical Society Algebra larpcal Galois correspondences Lie groups Representations of groups Howe-Vermutung (DE-588)4204481-9 gnd Galois-Verbindung (DE-588)4155902-2 gnd Oszillator (DE-588)4132814-0 gnd Dualität (DE-588)4013161-0 gnd Gruppentheorie (DE-588)4072157-7 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| subject_GND | (DE-588)4204481-9 (DE-588)4155902-2 (DE-588)4132814-0 (DE-588)4013161-0 (DE-588)4072157-7 (DE-588)4148816-7 |
| title | The oscillator duality correspondence for the pair O(2,2), Sp(2,R) |
| title_auth | The oscillator duality correspondence for the pair O(2,2), Sp(2,R) |
| title_exact_search | The oscillator duality correspondence for the pair O(2,2), Sp(2,R) |
| title_full | The oscillator duality correspondence for the pair O(2,2), Sp(2,R) Tomasz Przebinda |
| title_fullStr | The oscillator duality correspondence for the pair O(2,2), Sp(2,R) Tomasz Przebinda |
| title_full_unstemmed | The oscillator duality correspondence for the pair O(2,2), Sp(2,R) Tomasz Przebinda |
| title_short | The oscillator duality correspondence for the pair O(2,2), Sp(2,R) |
| title_sort | the oscillator duality correspondence for the pair o 2 2 sp 2 r |
| topic | Algebra larpcal Galois correspondences Lie groups Representations of groups Howe-Vermutung (DE-588)4204481-9 gnd Galois-Verbindung (DE-588)4155902-2 gnd Oszillator (DE-588)4132814-0 gnd Dualität (DE-588)4013161-0 gnd Gruppentheorie (DE-588)4072157-7 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| topic_facet | Algebra Galois correspondences Lie groups Representations of groups Howe-Vermutung Galois-Verbindung Oszillator Dualität Gruppentheorie Darstellungstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001611938&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT przebindatomasz theoscillatordualitycorrespondenceforthepairo22sp2r |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-401/404 Lageplan |
|---|---|
| Exemplar 1 |
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Am Standort
Dieser Titel ist mit anderen zusammengebunden. Bitte bestellen Sie folgenden: Iterated nonlinear maps and Hilbert's projective metric. 2. (1989). - IV, 118 S.
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