ISBN: 9783662484227
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… Mehr…
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ISBN: 9783662484227
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 thi… Mehr…
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ISBN: 9783662484227
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 thi… Mehr…
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2015, ISBN: 9783662484227
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ISBN: 3662484226
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ISBN: 9783662484227
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… Mehr…
ISBN: 9783662484227
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 thi… Mehr…
ISBN: 9783662484227
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 thi… Mehr…
2015, ISBN: 9783662484227
eBooks, eBook Download (PDF), Auflage, [PU: Springer-Verlag], [ED: 2], Springer-Verlag, 2015
Bibliographische Daten des bestpassenden Buches
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Detailangaben zum Buch - Computational Invariant Theory
EAN (ISBN-13): 9783662484227
ISBN (ISBN-10): 3662484226
Erscheinungsjahr: 2015
Herausgeber: Springer-Verlag
Buch in der Datenbank seit 2016-03-13T19:41:21+01:00 (Berlin)
Detailseite zuletzt geändert am 2023-04-18T19:35:19+02:00 (Berlin)
ISBN/EAN: 9783662484227
ISBN - alternative Schreibweisen:
3-662-48422-6, 978-3-662-48422-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: kempe, derksen, harm, gregor, kemp, derks, kemper, springer
Titel des Buches: invariant theory, theory computation
Daten vom Verlag:
Autor/in: Harm Derksen; Gregor Kemper
Titel: Encyclopaedia of Mathematical Sciences; Computational Invariant Theory
Verlag: Springer; Springer Berlin
366 Seiten
Erscheinungsjahr: 2015-12-23
Berlin; Heidelberg; DE
Sprache: Englisch
58,84 € (DE)
60,50 € (AT)
66,00 CHF (CH)
Available
XXII, 366 p. 13 illus. in color.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; Gröbner basis; algorithms; coding theory; computational commutative algebra; geometry; invariant theory; B; Topological Groups and Lie Groups; Algorithms; Mathematics and Statistics; Algorithmen und Datenstrukturen; BB
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 Gröbner 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 Vladimi
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.
“If I want to understand something about invariants of finite groups, this is the book that I will go to, as I already have. … Overall this is an excellent book.” (Thomas Garrity, Mathematical Reviews, November, 2016)
“The book under review is devoted to the constructive, algorithmic, approach to invariant theory. … The contents of the book under review can be divided in three parts. … it is so well structured that can be read by anyone with a basic background on algebraic groups.” (Felipe Zaldivar, MAA Reviews, maa.org, March, 2016)
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 Gröbner 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.
Excellent presentations of topics one cannot find in books elsewhere Presents not only various algorithms and computer-based methods, but also some theoretical results Detailed discussion of the notion of a Gröbner basis Covers a lot of illustrating and instructing examples With two new appendices by V.L. Popov and an Addendum by N. A'Campo and V.L. Popov;
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