Invariant theory, old and new:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Acad. Press
1971
|
| Edition: | Reprint. from Advances in mathematics ; 4 (1970), nr. 1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 85 S. |
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| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1971 | |
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Record in the Search Index
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| adam_text | Contents
Preface vii
Chapter 1. Elements of the Theory of Invariance 1
1. The Notion of an Invariant 1
2. Rational Concomitants 3
Chapter 2. Rational Representations of the General Linear Group . . 9
1. Representations of Linear Groups 9
2. Representations of the Full Linear Group 13
3. Young s Diagrams 15
4. The Characters of GL(n; Q) 19
5. Multilinear Invariants of GL(w; Q) 21
6. Invariants of Antisymmetric Tensors 25
7. Invariants of Mixed Tensors 27
8. Gram s Theorem 30
9. Invariants of n ary Forms: The Symbolic Method . . 31
10. Invariants of Subgroups of GL(«; Q) 36
Chapter 3. Post Hilbert Invariant Theory 41
1. The Finiteness Theorem 41
2. The Nagata Counterexample 45
Chapter 4. Introduction to the Hilbert Mumford Theory 53
1. The Affine Case 53
2. The Projective Case 56
3. Nullforms and Semi Stable Points 57
4. The Hilbert Mumford Criterion 58
5. Examples 62
6. Applications of Nullforms to Problems of Explicit
Determination of Invariants 65
Appendix: A Short Digest of Non Commutative Algebra 71
Bibliography 85
|
| any_adam_object | 1 |
| author | Dieudonné, Jean Alexandre 1906-1992 Carrell, James B. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| edition | Reprint. from Advances in mathematics ; 4 (1970), nr. 1 |
| format | Book |
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| id | DE-604.BV000931459 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:21:27Z |
| institution | BVB |
| language | English |
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| physical | VIII, 85 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Acad. Press |
| record_format | marc |
| spelling | Dieudonné, Jean Alexandre 1906-1992 Verfasser (DE-588)119320738 aut Invariant theory, old and new Jean A. Dieudonné ; James B. Carell Reprint. from Advances in mathematics ; 4 (1970), nr. 1 New York [u.a.] Acad. Press 1971 VIII, 85 S. txt rdacontent n rdamedia nc rdacarrier Invarianten gtt Invariants Invariants ram Invariantentheorie (DE-588)4162209-1 gnd rswk-swf Invariantentheorie (DE-588)4162209-1 s DE-604 Carrell, James B. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000570600&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dieudonné, Jean Alexandre 1906-1992 Carrell, James B. Invariant theory, old and new Invarianten gtt Invariants Invariants ram Invariantentheorie (DE-588)4162209-1 gnd |
| subject_GND | (DE-588)4162209-1 |
| title | Invariant theory, old and new |
| title_auth | Invariant theory, old and new |
| title_exact_search | Invariant theory, old and new |
| title_full | Invariant theory, old and new Jean A. Dieudonné ; James B. Carell |
| title_fullStr | Invariant theory, old and new Jean A. Dieudonné ; James B. Carell |
| title_full_unstemmed | Invariant theory, old and new Jean A. Dieudonné ; James B. Carell |
| title_short | Invariant theory, old and new |
| title_sort | invariant theory old and new |
| topic | Invarianten gtt Invariants Invariants ram Invariantentheorie (DE-588)4162209-1 gnd |
| topic_facet | Invarianten Invariants Invariantentheorie |
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