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Computational Invariant Theory

Name: Computational Invariant Theory
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01652890
Price: 171.67 EUR
Availability: InStock
Author: Harm Derksen
ISBN: 9783642077968

Harm Derksen

Gregor Kemper

Language

English

Book Paperback

Libristo code: 01652890

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, December 2010

This book is about the computational aspects of invariant theory. Of central interest is the questio... Full description

Libristo code: 01652890

416 b

171.67 €

335.75 лв

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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.