Algorithms in invariant theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Wien [u.a.]
Springer
1993
|
| Series: | Texts and monographs in symbolic computation
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 197 S. graph. Darst. |
| ISBN: | 3211824456 0387824456 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804122578088886272 |
|---|---|
| adam_text | Contents
1 Introduction 1
1.1 Symmetric polynomials 2
1.2 Grobner bases 7
1.3 What is invariant theory? 14
1.4 Torus invariants and integer programming 19
2 Invariant theory of finite groups 25
2.1 Finiteness and degree bounds 25
2.2 Counting the number of invariants 29
2.3 The Cohen Macaulay property 37
2.4 Reflection groups 44
2.5 Algorithms for computing fundamental invariants 50
2.6 Grobner bases under finite group action 58
2.7 Abelian groups and permutation groups 64
3 Bracket algebra and projective geometry 77
3.1 The straightening algorithm 77
3.2 The first fundamental theorem 84
3.3 The Grassmann Cayley algebra 94
3.4 Applications to projective geometry 100
3.5 Cayley factorization 110
3.6 Invariants and covariants of binary forms 117
3.7 Gordan s finiteness theorem 129
4 Invariants of the general linear group 137
4.1 Representation theory of the general linear group 137
4.2 Binary forms revisited 147
4.3 Cayley s fi process and Hilbert finiteness theorem 155
4.4 Invariants and covariants of forms 161
4.5 Lie algebra action and the symbolic method 169
4.6 Hilbert s algorithm 177
4.7 Degree bounds 185
References 191
Subject index 196
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
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| indexdate | 2024-07-09T17:16:06Z |
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| isbn | 3211824456 0387824456 |
| language | English |
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| physical | 197 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
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| series2 | Texts and monographs in symbolic computation |
| spelling | Sturmfels, Bernd 1962- Verfasser (DE-588)121330435 aut Algorithms in invariant theory Bernd Sturmfels Wien [u.a.] Springer 1993 197 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in symbolic computation Algebra comutativa larpcal Algoritmen gtt Invarianten gtt Algorithms Geometry, Projective Invariants Invariantentheorie (DE-588)4162209-1 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Invariantentheorie (DE-588)4162209-1 s Algorithmus (DE-588)4001183-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005406850&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sturmfels, Bernd 1962- Algorithms in invariant theory Algebra comutativa larpcal Algoritmen gtt Invarianten gtt Algorithms Geometry, Projective Invariants Invariantentheorie (DE-588)4162209-1 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4162209-1 (DE-588)4001183-5 |
| title | Algorithms in invariant theory |
| title_auth | Algorithms in invariant theory |
| title_exact_search | Algorithms in invariant theory |
| title_full | Algorithms in invariant theory Bernd Sturmfels |
| title_fullStr | Algorithms in invariant theory Bernd Sturmfels |
| title_full_unstemmed | Algorithms in invariant theory Bernd Sturmfels |
| title_short | Algorithms in invariant theory |
| title_sort | algorithms in invariant theory |
| topic | Algebra comutativa larpcal Algoritmen gtt Invarianten gtt Algorithms Geometry, Projective Invariants Invariantentheorie (DE-588)4162209-1 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Algebra comutativa Algoritmen Invarianten Algorithms Geometry, Projective Invariants Invariantentheorie Algorithmus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005406850&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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