Algebraic homogeneous spaces and invariant theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | Lecture notes in mathematics
1673 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 148 S. |
| ISBN: | 3540636285 |
Internformat
MARC
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| 245 | 1 | 0 | |a Algebraic homogeneous spaces and invariant theory |c Frank D. Grosshans |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a VI, 148 S. | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1673 | |
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Datensatz im Suchindex
| _version_ | 1804126115895181312 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter One Observable Subgroups
§ 1. Stabilizer Subgroups 5
§2. Equivalent Conditions 10
§3. Observable Subgroups of Reductive Groups 14
§4. Finite Generation of k[G/H] 19
Appendix: On Valuation Rings 23
§5. Maximal Unipotent Subgroups 27
Bibliographical Note 32
Chapter Two The Transfer Principle
§6. Induced Modules 33
Appendix: Affine Quotients and Induced Modules 36
§7. Induced Modules and Observable Subgroups 41
Appendix: On a Theorem of F. A. Bogomolov 43
§8. Counter examples 46
§9. The Transfer Principle 49
§10. The Theorems of Roberts and Weitzenbock 53
§11. Geometric Examples 59
A. Multiplicity free actions 59
B. Affine Geometry 62
C. Invariants of the Orthogonal Group 63
D. Euclidean Geometry 65
E. Hilbert s Example 67
Chapter Three Invariants of Maximal Unipotent Subgroups
§12. The Representations £(oi) 71
§13. An Example: The General Linear Group 76
A. Straightening 76
B. U invariants 78
C. Results of K. Pommerening 80
§14. The Relationship between A and GAU 83
§15. The Algebra grA 86
§16. Finite Generation and [/ invariants 93
A. Algebras 93
B. Modules 95
VI Contents
§17. S varieties 97
§18. Flat Deformations and Normality 101
Bibliographical Note 105
Chapter Four Complexity
§19. Basic Principles 106
Appendix: On Quotient Spaces 109
§20. Unique Factorization Domains 115
A. c(X) = 0 115
B. c(X) = 1 118
§21. Complexity and Finite Generation 122
A. Statement of Results 122
B. Proof of Theorem 21.1 123
§22. Spherical Subgroups 126
§23. Finite Generation of Induced Modules 129
A. Condition (FM) 129
B. Epimorphic Subgroups 132
References 138
Index 146
|
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| author | Grosshans, Frank D. 1942- |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-09T18:12:20Z |
| institution | BVB |
| isbn | 3540636285 |
| language | German |
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| physical | VI, 148 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Grosshans, Frank D. 1942- Verfasser (DE-588)115644873 aut Algebraic homogeneous spaces and invariant theory Frank D. Grosshans Berlin [u.a.] Springer 1997 VI, 148 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1673 Algebraic spaces Group actions (Mathematics) Invariants Gruppenoperation (DE-588)4158467-3 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraischer Raum (DE-588)4141854-2 gnd rswk-swf Homogener Raum (DE-588)4025787-3 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Invariantentheorie (DE-588)4162209-1 gnd rswk-swf Algebraischer Raum (DE-588)4141854-2 s Homogener Raum (DE-588)4025787-3 s Invariantentheorie (DE-588)4162209-1 s DE-604 Kommutative Algebra (DE-588)4164821-3 s Lineare algebraische Gruppe (DE-588)4295326-1 s Gruppenoperation (DE-588)4158467-3 s Lecture notes in mathematics 1673 (DE-604)BV000676446 1673 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007804791&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grosshans, Frank D. 1942- Algebraic homogeneous spaces and invariant theory Lecture notes in mathematics Algebraic spaces Group actions (Mathematics) Invariants Gruppenoperation (DE-588)4158467-3 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraischer Raum (DE-588)4141854-2 gnd Homogener Raum (DE-588)4025787-3 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Invariantentheorie (DE-588)4162209-1 gnd |
| subject_GND | (DE-588)4158467-3 (DE-588)4164821-3 (DE-588)4141854-2 (DE-588)4025787-3 (DE-588)4295326-1 (DE-588)4162209-1 |
| title | Algebraic homogeneous spaces and invariant theory |
| title_auth | Algebraic homogeneous spaces and invariant theory |
| title_exact_search | Algebraic homogeneous spaces and invariant theory |
| title_full | Algebraic homogeneous spaces and invariant theory Frank D. Grosshans |
| title_fullStr | Algebraic homogeneous spaces and invariant theory Frank D. Grosshans |
| title_full_unstemmed | Algebraic homogeneous spaces and invariant theory Frank D. Grosshans |
| title_short | Algebraic homogeneous spaces and invariant theory |
| title_sort | algebraic homogeneous spaces and invariant theory |
| topic | Algebraic spaces Group actions (Mathematics) Invariants Gruppenoperation (DE-588)4158467-3 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraischer Raum (DE-588)4141854-2 gnd Homogener Raum (DE-588)4025787-3 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Invariantentheorie (DE-588)4162209-1 gnd |
| topic_facet | Algebraic spaces Group actions (Mathematics) Invariants Gruppenoperation Kommutative Algebra Algebraischer Raum Homogener Raum Lineare algebraische Gruppe Invariantentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007804791&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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