On the classification of holonomy representations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
1998
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Leipzig, Univ., Habil.-Schr., 1998 |
| Beschreibung: | 66 S. |
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION AND HISTORY 4
2 PRELIMINARY FACTS RESULTS 10
2.1 HOLONOMY GROUPS AND HOLONOMY ALGEBRAS. 10
2.2 SPENCER COHOMOLOGY. 12
2.3 H-STRUCTURES, INTRINSIC TORSION AND INTRINSIC CURVATURE. 13
2.4 A BRIEF REVIEW OF REPRESENTATION THEORY . 16
3 BERGER ALGEBRAS 19
3.1 REAL BERGER ALGEBRAS. 19
3.2 EXAMPLES OF BERGER ALGEBRAS. 20
3.2.1 CONFORMAL LIE ALGEBRAS. 20
3.2.2 SYMPLECTIC LIE ALGEBRAS. 21
3.2.3 SYMMETRIC CONNECTIONS. 24
3.2.4 COMPLEX LIE ALGEBRAS WITH ^ 0 . . . . 25
3.3 COMPLEX BERGER ALGEBRAS . . . . .~T. 26
3.4 SIMPLE COMPLEX BERGER ALGEBRAS. 28
3.5 COMPLEX TENSOR REPRESENTATIONS . . 41
4 EXISTENCE RESULTS 44
4.1 EXTERIOR DIFFERENTIAL SYSTEMS. 45
4.2 POISSON MANIFOLDS. 46
4.3 SYMPLECTIC TORSION FREE CONNECTIONS. 48
5 TWISTOR THEORY OF TORSION FREE CONNECTIONS 54
REFERENCES 61
3
BIBLIOGRAFISCHE INFORMATIONEN
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| spelling | Schwachhöfer, Lorenz 1964- Verfasser (DE-588)120405326 aut On the classification of holonomy representations eingereicht von Lorenz Johannes Schwachhöfer 1998 66 S. txt rdacontent n rdamedia nc rdacarrier Leipzig, Univ., Habil.-Schr., 1998 Holonomiegruppe (DE-588)4160487-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Holonomiegruppe (DE-588)4160487-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008224563&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | On the classification of holonomy representations |
| title_auth | On the classification of holonomy representations |
| title_exact_search | On the classification of holonomy representations |
| title_full | On the classification of holonomy representations eingereicht von Lorenz Johannes Schwachhöfer |
| title_fullStr | On the classification of holonomy representations eingereicht von Lorenz Johannes Schwachhöfer |
| title_full_unstemmed | On the classification of holonomy representations eingereicht von Lorenz Johannes Schwachhöfer |
| title_short | On the classification of holonomy representations |
| title_sort | on the classification of holonomy representations |
| topic | Holonomiegruppe (DE-588)4160487-8 gnd |
| topic_facet | Holonomiegruppe Hochschulschrift |
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