Holdings: Differential calculus on quantum complex Grassmann manifolds

Differential calculus on quantum complex Grassmann manifolds:

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Bibliographic Details
Main Author:	Kolb, Stefan Christoph Johannes (Author)
Format:	Book
Language:	English
Published:	2002
Subjects:	Hochschulschrift Graßmann-Mannigfaltigkeit Differentialform Quantenraum
Online Access:	Inhaltsverzeichnis
Item Description:	Leipzig, Univ., Diss., 2002
Physical Description:	94 S. graph. Darst.

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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
work_keys_str_mv	AT kolbstefanchristophjohannes differentialcalculusonquantumcomplexgrassmannmanifolds

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