Differential calculus on quantum complex Grassmann manifolds:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Leipzig, Univ., Diss., 2002 |
| Beschreibung: | 94 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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| adam_text | DIFFERENTIAL CALCULUS ON QUANTUM COMPLEX GRASSMANN MANIFOLDS VON DER
FAKULTAT FIIR MATHEMATIK UND INFORMATIK DER UNIVERSITAT LEIPZIG
ANGENOMMENE DISSERTATION ZUR ERLANGUNG DES AKADEMISCHEN GRADES SUB
GETTINGEN 7 6 & 216 187 079 DOCTOR RERUM NATURALIUM DISS 2003 B 174 (DR.
RER. NAT.) IM FACHGEBIET MATHEMATIK VORGELEGT VON DIPL.-MATH. STEFAN
CHRISTOPH JOHANNES KOLB GEBOREN AM 6. AUGUST 1971 IN HAMBURG DIE ANNAHME
DER DISSERTATION HABEN EMPFOHLEN 1. PROF. DR. HARALD GROSSE, INSTITUT
FUR THEORETISCHE PHYSIK, UNIVERSITAT WIEN 2. PROF. DR. KONRAD
SCHMIIDGEN, MATHEMATISCHES INSTITUT, UNIVERSITAT LEIPZIG 3. PROF. DR.
LEONID L. VAKSMAN, ILTPE, KHARKOV DIE VERLEIHUNG DES AKADEMISCHEN GRADES
ERFOLGT AUF BESCHLUSS DES RATES DER FAKULTAT FIIR MATHEMATIK UND
INFORMATIK VOM 16. 9. 2002 MIT DEM GESAMTPRADIKAT ,,SUMMA CUM LAUDE .
CONTENTS INTRODUCTION 1 NOTATIONS AND CONVENTIONS 7 CHAPTER 1.
PRELIMINARIES 9 1.1. QUANTUM GROUPS 9 1.2. COVARIANT DIFFERENTIAL
CALCULUS 12 1.3. LOCALIZATION OF COVARIANT BIMODULES 13 1.4.
COMPLEXIFICATION 19 CHAPTER 2. QUANTUM GRASSMANN MANIFOLDS 21 2.1. THE
HOMOGENEOUS COORDINATE RING 21 2.2. ^-GRASSMANN MANIFOLDS 22 2.3.
GENERATORS AND RELATIONS 26 2.4. INCLUSION OF QUANTUM GRASSMANN
MANIFOLDS 32 CHAPTER 3. CONSTRUCTION OF FODC ON QUANTUM GRASSMANN
MANIFOLDS 35 3.1. DIFFERENTIAL CALCULUS OVER O Q ( V R ) 35 3.2.
DIFFERENTIAL CALCULUS OVER O Q (GV(R,N)) 41 3.3. CHERN CLASSES 46
CHAPTER 4. CLASSIFICATION OF FODC ON QUANTUM GRASSMANN MANIFOLDS 49 4.1.
QUANTUM TANGENT SPACE 49 4.2. THE COALGEBRA U = U/K+U 51 4.3. GRADED
REPRESENTATIONS OF O G (GI(R, N)) 57 . 4.4. CLASSIFICATION 61 CHAPTER 5.
FODC ON PODLES S QUANTUM SPHERE 65 5.1. PODLES S QUANTUM SPHERE 65 5.2.
THE DUAL COALGEBRA B = O Q (§L) 68 5.3. LOCAL FINITENESS FOR THE K C -
ACTION ON O G (§L) 71 5.4. DIFFERENTIAL CALCULUS OVER O Q (S 2C ) 76
APPENDIX A. GRAPHICAL CALCULUS 81 APPENDIX B. SMOOTHNESS OF O(GR(R, JV))
89 APPENDIX C. RELATIONS OF O Q (GI(R,N)) , 91 BIBLIOGRAPHY 93
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| indexdate | 2024-07-09T19:08:29Z |
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| language | English |
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| spelling | Kolb, Stefan Christoph Johannes Verfasser aut Differential calculus on quantum complex Grassmann manifolds vorgelegt von Stefan Christoph Johannes Kolb 2002 94 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Leipzig, Univ., Diss., 2002 Hochschulschrift gtt Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd rswk-swf Differentialform (DE-588)4149772-7 gnd rswk-swf Quantenraum (DE-588)4563053-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Graßmann-Mannigfaltigkeit (DE-588)4158085-0 s Quantenraum (DE-588)4563053-7 s Differentialform (DE-588)4149772-7 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010068863&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kolb, Stefan Christoph Johannes Differential calculus on quantum complex Grassmann manifolds Hochschulschrift gtt Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd Differentialform (DE-588)4149772-7 gnd Quantenraum (DE-588)4563053-7 gnd |
| subject_GND | (DE-588)4158085-0 (DE-588)4149772-7 (DE-588)4563053-7 (DE-588)4113937-9 |
| title | Differential calculus on quantum complex Grassmann manifolds |
| title_auth | Differential calculus on quantum complex Grassmann manifolds |
| title_exact_search | Differential calculus on quantum complex Grassmann manifolds |
| title_full | Differential calculus on quantum complex Grassmann manifolds vorgelegt von Stefan Christoph Johannes Kolb |
| title_fullStr | Differential calculus on quantum complex Grassmann manifolds vorgelegt von Stefan Christoph Johannes Kolb |
| title_full_unstemmed | Differential calculus on quantum complex Grassmann manifolds vorgelegt von Stefan Christoph Johannes Kolb |
| title_short | Differential calculus on quantum complex Grassmann manifolds |
| title_sort | differential calculus on quantum complex grassmann manifolds |
| topic | Hochschulschrift gtt Graßmann-Mannigfaltigkeit (DE-588)4158085-0 gnd Differentialform (DE-588)4149772-7 gnd Quantenraum (DE-588)4563053-7 gnd |
| topic_facet | Hochschulschrift Graßmann-Mannigfaltigkeit Differentialform Quantenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010068863&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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