Small homogeneous vector bundles:
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| Main Author: | |
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| Format: | Book |
| Language: | German |
| Published: |
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Bielefeld, Univ., Diss., 1994 |
| Physical Description: | 108 S. graph. Darst. |
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Record in the Search Index
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CONTENTS
0.1 INTRODUCTION. 3
0.2 LIST OF SYMBOLS. 5
1 BASIC NOTATIONS 7
1.1 BOUNDED QUIVER ALGEBRAS . 7
1.2 HEREDITARY ALGEBRAS AND DYNKIN GRAPHS. 9
1.3 THE AUSLANDER REITEN QUIVER. 10
1.4 INFINITE QUIVERS WITH RELATIONS. 14
1.5 COVERINGS OF QUIVERS AND ALGEBRAS .16
1.6 REFLECTION FUNCTORS. 19
1.7 ALGEBRAIC VARIETIES AND COHERENT SHEAVES.21
1.8 FAMILIES OF MODULES.23
1.9 INDUCTION AND LINE BUNDLES ON G/P .27
2 HOMOGENEOUS VECTOR BUNDLES 30
2.1 HOMOGENEOUS VECTOR BUNDLES ON
G/P .31
2.2 THE COHOMOLOGY OF VECTOR BUNDLES ON FLAG VARIETIES.34
2.3 RELATIVE FLAG VARIETIES AND THE SCHUR FUNCTORS EA.37
2.4 SOME EXACT SEQUENCES OF VECTOR BUNDLES ON HOMOGENEOUS VA
RIETIES .39
3 RESULTS ON THE RELATIONS 41
3.1 THE CASE OF A GRASSMANIAN.41
3.2 THE CASE P IS A BOREL SUBGROUP.42
4 THE CLASSIFICATION OF SMALL REPRESENTATIONS 44
4.1 THE CLASSIFICATION OF SMALL GRAPHS.44
4.2 THE CLASSIFICATION OF SMALL REPRESENTATIONS.48
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/950021261
5 EXAMPLES OF HOMOGENEOUS VARIETIES 66
5.1 NOTATIONS.66
5.2 HOMOGENEOUS VECTOR BUNDLES ON THE PROJECTIVE LINE.71
5.3 HOMOGENEOUS VECTOR BUNDLES ON THE 3-DIMENSIONAL FLAG VA
RIETY .74
5.4 HOMOGENEOUS VECTOR BUNDLES ON THE 2-DIMENSIONAL PROJECTIVE *
SPACE.82
5.5 HOMOGENEOUS VECTOR BUNDLES ON THE 2-DIMENSIONAL QUADRIC . 90
5.6 THE FLAG VARIETY F( 1,2,3; K4).95
5.7 THE FOUR-DIMENSIONAL GRASSMANIAN.100
5.8 THE VARIETIES P3, F( 1,2; K4) AND F( 1,3; FC4) .103
2 |
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| illustrated | Illustrated |
| indexdate | 2024-10-09T16:16:44Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007614328 |
| oclc_num | 258417411 |
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| physical | 108 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
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| spelling | Hille, Lutz Verfasser aut Small homogeneous vector bundles vorgelegt von Lutz Hille 1994 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bielefeld, Univ., Diss., 1994 Vektorraumbündel Vektorraumbündel (DE-588)4187470-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Vektorraumbündel (DE-588)4187470-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hille, Lutz Small homogeneous vector bundles Vektorraumbündel Vektorraumbündel (DE-588)4187470-5 gnd |
| subject_GND | (DE-588)4187470-5 (DE-588)4113937-9 |
| title | Small homogeneous vector bundles |
| title_auth | Small homogeneous vector bundles |
| title_exact_search | Small homogeneous vector bundles |
| title_full | Small homogeneous vector bundles vorgelegt von Lutz Hille |
| title_fullStr | Small homogeneous vector bundles vorgelegt von Lutz Hille |
| title_full_unstemmed | Small homogeneous vector bundles vorgelegt von Lutz Hille |
| title_short | Small homogeneous vector bundles |
| title_sort | small homogeneous vector bundles |
| topic | Vektorraumbündel Vektorraumbündel (DE-588)4187470-5 gnd |
| topic_facet | Vektorraumbündel Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007614328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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