Holdings: Gauge orbit types for theories with gauge group SUn

Gauge orbit types for theories with gauge group SUn:

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Bibliographic Details
Main Author:	Schmidt, Matthias (Author)
Format:	Book
Language:	Undetermined
Published:	2000
Subjects:	Prinzipalbündel Orbit > Mathematik Eichtransformation Hochschulschrift
Online Access:	Inhaltsverzeichnis
Item Description:	Leipzig, Univ., Diss., 2000
Physical Description:	III, 149, 7 S.

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adam_text	CONTENTS 1 INTRODUCTION 1 2 PRELIMINARIES 5 2.1 PRINCIPAL FIBRE BUNDLES . 5 2.2 GEOMETRIC FORMULATION OF A CLASSICAL EUKLIDEAN PURE GAUGE THEORY . 10 3 THE ACTION OF THE GROUP OF GAUGE TRANSFORMATIONS ON THE SPACE OF CONNECTIONS 13 3.1 ANALYTICAL SETTING. 13 3.1.1 THE ACTION AS A SMOOTH LIE GROUP ACTION. 13 3.1.2 THE GAUGE ORBIT SPACE . 14 3.1.3 STABILIZERS AND ORBIT TYPES. 15 3.2 THE STRATIFICATION OF THE GAUGE ORBIT SPACE. 15 3.2.1 STRATIFICATION OF A TOPOLOGICAL SPACE. 15 3.2.2 THE STRATIFICATION INDUCED BY ORBIT TYPES. 17 3.3 SOME PHYSICAL ASPECTS OF THE STRATIFICATION. 19 3.3.1 THE NATURAL RIEMANNIAN GEOMETRY OF THE STRATA. 19 3.3.2 GAUGES. 21 3.3.3 KINEMATICAL NODES. 22 3.4 GAUGE ORBIT TYPES AND HTFIONOMY-INDUCED HOWE SUBBUNDLES . 24 3.4.1 HOLONOMY-INDUCED HOWE SUBBUNDLES. 24 3.4.2 MAPS RELATING STABILIZERS TO SUBBUNDLES. 26 3.4.3 GAUGE ORBIT TYPES. 30 3.4.4 HOW TO PROCEED. 31 4 THE HOWE SUBGROUPS OF SUN 33 4.1 GENERAL REMARKS. 33 4.2 CONSTRUCTION OF HOWE SUBGROUPS . 34 4.2.1 THE SET K(N). 34 4.2.2 THE SUBGROUPS SUJ.34 4.3 THE SUBORDINATION EQUATIONS.37 4.3.1 DERIVING THE EQUATIONS. 37 4.3.2 THE USE OF SOLUTIONS. 39 L BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/958926816 4.4 SUBORDINATING MATRICES. 40 4.4.1 ELEMENTARY PROPERTIES.40 4.4.2 REPRESENTATION BY DIAGRAMS. 41 4.4.3 THE FUNCTIONS L+, L_, AND L.42 4.4.4 SUBORDINATING MATRICES OF LEVEL 0.44 4.4.5 SUBORDINATING MATRICES OF LEVEL 1.45 4.5 CLASSIFICATION. 49 4.5.1 THE SET K(N). 50 4.5.2 CLASSIFICATION THEOREM. 51 4.6 PARTIAL ORDERING. 51 4.6.1 MAXIMAL AND MINIMAL ELEMENT. 51 4.6.2 DIRECT SUCCESSORS. 52 4.7 EXAMPLES. 54 4.7.1 EXAMPLES OF SUBORDINATION EQUATIONS. 55 4.7.2 RECONSTRUCTION OF K(N), N = 2,., 5. 57 5 THE HOWE SUBBUNDLES OF SUN-BUNDLES 61 5.1 PRELIMINARIES. 61 5.1.1 UNIVERSAL BUNDLES AND CLASSIFYING SPACES., 62 5.1.2 CHARACTERISTIC CLASSES . 64 5.1.3 EILENBERG-MACLANE SPACES.64 5.1.4 K(Z, 2) AND THE CLASSIFICATION OF UL-BUNDLES.66 5.1.5 K(ZG, 1) AND THE CLASSIFICATION OF Z9-BUNDLES.68 5.1.6 THE POSTNIKOV DECOMPOSITION. 74 5.2 THE HOMOTOPY GROUPS OF SUJ. 76 5.2.1 MAPS RELATED TO UJ AND SUJ. 76 5.2.2 CONNECTED COMPONENTS . 77 5.2.3 HOMOTOPY GROUPS . 77 5.3 CHARACTERISTIC CLASSES RELEVANT FOR CLASSIFICATION. 78 5.3.1 THE POSTNIKOV DECOMPOSITION OF BG UP TO LEVEL N = 5. 78 5.3.2 EXAMPLE: THE GROUP UN. 82 5.3.3 EXAMPLE: THE GROUP SUN . . . 83 5.3.4 EXAMPLE: THE GROUP UJ. 84 5.4 THE COHOMOLOGY OF BSUJ. 87 5.4.1 THE COHOMOLOGY ALGEBRA /J(BSUJ, Z). 87 5.4.2 THE COHOMOLOGY ALGEBRA H(BSUJ, Z9). 89 5.5 CHARACTERISTIC CLASSES FOR SUJ-BUNDLES.94 5.6 CLASSIFICATION OF SUJ-BUNDLES IN DIMENSION D 4.95 5.7 THE SUJ-SUBBUNDLES OF P.97 5.8 ANY HOWE SUBBUNDLE OF P IS HOLONOMY-INDUCED.99 5.9 EXAMPLES.100 5.9.1 BASE MANIFOLDS WITH TORSION-FREE FIRST HOMOLOGY GROUP.101 5.9.2 BASE MANIFOLD LP X S1.103 11 6 DERIVATION OF HOWE(P) 107 6.1 THE SET K(P) .107 6.2 THE SUBORDINATION EQUATION OF J TO J' .108 6.2.1 DERIVING THE EQUATION.108 6.2.2 THE USE OF SOLUTIONS.114 6.3 CLASSIFICATION.115 6.3.1 THE SET K(P).115 6.3.2 CLASSIFICATION THEOREM.116 6.4 PARTIAL ORDERING.117 6.4.1 RELATION TO THE PARTIAL ORDERING OF K(N).117 6.4.2 MINIMAL AND MAXIMAL ELEMENTS.117 6.4.3 COMPUTATION OF AA.118 6.4.4 GENERATION OF SUCCESSORS.118 6.4.5 DIRECT SUCCESSORS.120 6.4.6 DIRECT PREDECESSORS.122 6.5 SUMMARY.126 6.6 EXAMPLES . . . R.127 6.6.1 AN EXAMPLE FOR A SUBORDINATION EQUATION.127 6.6.2 EXAMPLES FOR THE GENERATION OF DIRECT SUCCESSORS.128 6.6.3 AN EXAMPLE FOR THE GENERATION OF DIRECT PREDECESSORS .129 7 SOME APPLICATIONS 131 7.1 CONTACTING OF STRATA THROUGH SINGULARITIES.132 7.2 GAUGE ORBIT TYPES FOR SU2.132 7.3 KINEMATICAL NODES IN 2 + 1-DIMENSIONAL TOPOLOGICALLY MASSIVE YANG-MILLS THEORY.137 8 CONCLUSION 139 INDEX OF NOTATION 141 BIBLIOGRAPHY 145 M
any_adam_object	1
author	Schmidt, Matthias
author_facet	Schmidt, Matthias
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author_sort	Schmidt, Matthias
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bvnumber	BV013261040
classification_tum	PHY 417d MAT 554d
ctrlnum	(OCoLC)632773954 (DE-599)BVBBV013261040
discipline	Physik Mathematik
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physical	III, 149, 7 S.
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record_format	marc
spelling	Schmidt, Matthias Verfasser aut Gauge orbit types for theories with gauge group SUn vorgelegt von Matthias Schmidt 2000 III, 149, 7 S. txt rdacontent n rdamedia nc rdacarrier Leipzig, Univ., Diss., 2000 Prinzipalbündel (DE-588)4384701-8 gnd rswk-swf Orbit Mathematik (DE-588)4238277-4 gnd rswk-swf Eichtransformation (DE-588)4122126-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Eichtransformation (DE-588)4122126-6 s Prinzipalbündel (DE-588)4384701-8 s Orbit Mathematik (DE-588)4238277-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009039503&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Schmidt, Matthias Gauge orbit types for theories with gauge group SUn Prinzipalbündel (DE-588)4384701-8 gnd Orbit Mathematik (DE-588)4238277-4 gnd Eichtransformation (DE-588)4122126-6 gnd
subject_GND	(DE-588)4384701-8 (DE-588)4238277-4 (DE-588)4122126-6 (DE-588)4113937-9
title	Gauge orbit types for theories with gauge group SUn
title_auth	Gauge orbit types for theories with gauge group SUn
title_exact_search	Gauge orbit types for theories with gauge group SUn
title_full	Gauge orbit types for theories with gauge group SUn vorgelegt von Matthias Schmidt
title_fullStr	Gauge orbit types for theories with gauge group SUn vorgelegt von Matthias Schmidt
title_full_unstemmed	Gauge orbit types for theories with gauge group SUn vorgelegt von Matthias Schmidt
title_short	Gauge orbit types for theories with gauge group SUn
title_sort	gauge orbit types for theories with gauge group sun
topic	Prinzipalbündel (DE-588)4384701-8 gnd Orbit Mathematik (DE-588)4238277-4 gnd Eichtransformation (DE-588)4122126-6 gnd
topic_facet	Prinzipalbündel Orbit Mathematik Eichtransformation Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009039503&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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