Harm Derksen

(Author)

Computational Invariant Theory (2015)Hardcover - 2015, 6 January 2016

Computational Invariant Theory (2015)
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Part of Series
Encyclopaedia of Mathematical Sciences
Print Length
366 pages
Language
English
Publisher
Springer
Date Published
6 Jan 2016
ISBN-10
366248420X
ISBN-13
9783662484203

Description

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

r Popov, and an addendum by Norbert A'Campo and Vladimir Popov.

Product Details

Authors:
Harm DerksenGregor Kemper
Book Edition:
2015
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
6 January 2016
Dimensions:
23.39 x 15.6 x 2.24 cm
ISBN-10:
366248420X
ISBN-13:
9783662484203
Language:
English
Location:
Berlin, Heidelberg
Pages:
366
Publisher:
Weight:
721.21 gm

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