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Computational Invariant Theory

160,49 €*

Sofort verfügbar, Lieferzeit: 1-3 Tage

Produktnummer: 18049720143f874809b9e0ccdaf75617bd
Autor: Derksen, Harm Kemper, Gregor
Themengebiete: Gröbner basis algorithms coding theory computational commutative algebra geometry invariant theory
Veröffentlichungsdatum: 06.01.2016
EAN: 9783662484203
Auflage: 2
Sprache: Englisch
Seitenzahl: 366
Produktart: Gebunden
Verlag: Springer Berlin
Produktinformationen "Computational Invariant Theory"
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.

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