Computational Invariant Theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg ; New York ; Dordrecht ; London
Springer
2015
|
| Ausgabe: | Second enlarged edition with two appendices by Vladimir L. Popov, and an addendum by Norbert A. Campo and Vladimir L. Popov |
| Schriftenreihe: | Encyclopaedia of Mathematical Sciences
130 Invariant theory and algebraic transformation groups 8 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XXII, 366 Seiten) Illustrationen, Diagramme |
| ISBN: | 9783662484227 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-662-48422-7 |
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| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Algorithms | |
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| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Commutative rings | |
| 650 | 4 | |a Commutative algebra / Data processing | |
| 650 | 4 | |a Invariants | |
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Datensatz im Suchindex
| _version_ | 1804175846693404672 |
|---|---|
| adam_text | COMPUTATIONAL INVARIANT THEORY
/ DERKSEN, HARM
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1 CONSTRUCTIVE IDEAL THEORY
2 INVARIANT THEORY
3 INVARIANT THEORY OF FINITE GROUPS
4 INVARIANT THEORY OF REDUCTIVE GROUPS
5 APPLICATIONS OF INVARIANT THEORY
A. LINEAR ALGEBRAIC GROUPS
B. IS ONE OF THE TWO ORBITS IN THE CLOSURE OF THE OTHER? BY V.L.POPOV
C. STRATIFICATION OF THE NULLCONE BY V.L.POPOV
ADDENDUM TO C. THE SOURCE CODE OF HNC BY N.A’CAMPO AND V.L.POPOV
NOTATION
INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
COMPUTATIONAL INVARIANT THEORY
/ DERKSEN, HARM
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK IS ABOUT THE COMPUTATIONAL ASPECTS OF INVARIANT THEORY. OF
CENTRAL INTEREST IS THE QUESTION HOW THE INVARIANT RING OF A GIVEN GROUP
ACTION CAN BE CALCULATED. ALGORITHMS FOR THIS PURPOSE FORM THE MAIN
PILLARS AROUND WHICH THE BOOK IS BUILT. THERE ARE TWO INTRODUCTORY
CHAPTERS, ONE ON GROEBNER BASIS METHODS AND ONE ON THE BASIC CONCEPTS OF
INVARIANT THEORY, WHICH PREPARE THE GROUND FOR THE ALGORITHMS. THEN
ALGORITHMS FOR COMPUTING INVARIANTS OF FINITE AND REDUCTIVE GROUPS ARE
DISCUSSED. PARTICULAR EMPHASIS LIES ON INTERRELATIONS BETWEEN STRUCTURAL
PROPERTIES OF INVARIANT RINGS AND COMPUTATIONAL METHODS. FINALLY, THE
BOOK CONTAINS A CHAPTER ON APPLICATIONS OF INVARIANT THEORY, COVERING
FIELDS AS DISPARATE AS GRAPH THEORY, CODING THEORY, DYNAMICAL SYSTEMS,
AND COMPUTER VISION. THE BOOK IS INTENDED FOR POSTGRADUATE STUDENTS AS
WELL AS RESEARCHERS IN GEOMETRY, COMPUTER ALGEBRA, AND, OF COURSE,
INVARIANT THEORY. THE TEXT IS ENRICHED WITH NUMEROUS EXPLICIT EXAMPLES
WHICH ILLUSTRATE THE THEORY AND SHOULD BE OF MORE THAN PASSING INTEREST.
MORE THAN TEN YEARS AFTER THE FIRST PUBLICATION OF THE BOOK, THE SECOND
EDITION NOW PROVIDES A MAJOR UPDATE AND COVERS MANY RECENT DEVELOPMENTS
IN THE FIELD. AMONG THE ROUGHLY 100 ADDED PAGES THERE ARE TWO
APPENDICES, AUTHORED BY VLADIMIR POPOV, AND AN ADDENDUM BY NORBERT
A CAMPO AND VLADIMIR POPOV.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Derksen, Harm 1970- Kemper, Gregor 1963- |
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| author_facet | Derksen, Harm 1970- Kemper, Gregor 1963- |
| author_role | aut aut |
| author_sort | Derksen, Harm 1970- |
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| dewey-full | 512.482 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.482 512.55 |
| dewey-search | 512.482 512.55 |
| dewey-sort | 3512.482 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-662-48422-7 |
| edition | Second enlarged edition with two appendices by Vladimir L. Popov, and an addendum by Norbert A. Campo and Vladimir L. Popov |
| format | Electronic eBook |
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| id | DE-604.BV043309638 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:22:47Z |
| institution | BVB |
| isbn | 9783662484227 |
| issn | 0938-0396 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028730327 |
| oclc_num | 934209911 |
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| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-20 DE-739 DE-634 DE-703 DE-861 DE-83 |
| physical | 1 Online Ressource (XXII, 366 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series | Encyclopaedia of Mathematical Sciences Invariant theory and algebraic transformation groups |
| series2 | Encyclopaedia of mathematical sciences Invariant theory and algebraic transformation groups |
| spelling | Derksen, Harm 1970- (DE-588)123662362 aut Computational Invariant Theory Harm Derksen, Gregor Kemper Second enlarged edition with two appendices by Vladimir L. Popov, and an addendum by Norbert A. Campo and Vladimir L. Popov Heidelberg ; New York ; Dordrecht ; London Springer 2015 1 Online Ressource (XXII, 366 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of mathematical sciences volume 130 0938-0396 Encyclopaedia of mathematical sciences Invariant theory and algebraic transformation groups 8 Mathematics Topological groups Lie groups Algorithms Topological Groups, Lie Groups Datenverarbeitung Mathematik Commutative rings Commutative algebra / Data processing Invariants Algebraische Transformationsgruppe (DE-588)4228484-3 gnd rswk-swf Invariantentheorie (DE-588)4162209-1 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 s Invariantentheorie (DE-588)4162209-1 s Computeralgebra (DE-588)4010449-7 s DE-604 Algebraische Transformationsgruppe (DE-588)4228484-3 s 1\p DE-604 Kemper, Gregor 1963- (DE-588)114214824 aut Erscheint auch als Druck-Ausgabe 978-3-662-48420-3 Erscheint auch als Druckausgabe 978-3-662-48420-3 Encyclopaedia of Mathematical Sciences 130 (DE-604)BV035421342 130 Invariant theory and algebraic transformation groups 8 (DE-604)BV036597991 8 https://doi.org/10.1007/978-3-662-48422-7 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730327&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730327&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Derksen, Harm 1970- Kemper, Gregor 1963- Computational Invariant Theory Encyclopaedia of Mathematical Sciences Invariant theory and algebraic transformation groups Mathematics Topological groups Lie groups Algorithms Topological Groups, Lie Groups Datenverarbeitung Mathematik Commutative rings Commutative algebra / Data processing Invariants Algebraische Transformationsgruppe (DE-588)4228484-3 gnd Invariantentheorie (DE-588)4162209-1 gnd Kommutativer Ring (DE-588)4164825-0 gnd Computeralgebra (DE-588)4010449-7 gnd |
| subject_GND | (DE-588)4228484-3 (DE-588)4162209-1 (DE-588)4164825-0 (DE-588)4010449-7 |
| title | Computational Invariant Theory |
| title_auth | Computational Invariant Theory |
| title_exact_search | Computational Invariant Theory |
| title_full | Computational Invariant Theory Harm Derksen, Gregor Kemper |
| title_fullStr | Computational Invariant Theory Harm Derksen, Gregor Kemper |
| title_full_unstemmed | Computational Invariant Theory Harm Derksen, Gregor Kemper |
| title_short | Computational Invariant Theory |
| title_sort | computational invariant theory |
| topic | Mathematics Topological groups Lie groups Algorithms Topological Groups, Lie Groups Datenverarbeitung Mathematik Commutative rings Commutative algebra / Data processing Invariants Algebraische Transformationsgruppe (DE-588)4228484-3 gnd Invariantentheorie (DE-588)4162209-1 gnd Kommutativer Ring (DE-588)4164825-0 gnd Computeralgebra (DE-588)4010449-7 gnd |
| topic_facet | Mathematics Topological groups Lie groups Algorithms Topological Groups, Lie Groups Datenverarbeitung Mathematik Commutative rings Commutative algebra / Data processing Invariants Algebraische Transformationsgruppe Invariantentheorie Kommutativer Ring Computeralgebra |
| url | https://doi.org/10.1007/978-3-662-48422-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730327&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730327&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421342 (DE-604)BV036597991 |
| work_keys_str_mv | AT derksenharm computationalinvarianttheory AT kempergregor computationalinvarianttheory |