Holdings: Computational Invariant Theory

Computational Invariant Theory:

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Bibliographic Details
Main Authors:	Derksen, Harm 1970- (Author), Kemper, Gregor 1963- (Author)
Format:	Electronic eBook
Language:	English
Published:	Heidelberg ; New York ; Dordrecht ; London Springer 2015
Edition:	Second enlarged edition with two appendices by Vladimir L. Popov, and an addendum by Norbert A. Campo and Vladimir L. Popov
Series:	Encyclopaedia of Mathematical Sciences 130 Invariant theory and algebraic transformation groups 8
Subjects:	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
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	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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Record in the Search Index

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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.
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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

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