Computational Invariant Theory

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Éditeur :

Springer


Collection :

Encyclopaedia of Mathematical Sciences

Paru le : 2015-12-23

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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 Vladimir Popov, and an addendum by Norbert A'Campo and Vladimir Popov.   
Pages
366 pages
Collection
Encyclopaedia of Mathematical Sciences
Parution
2015-12-23
Marque
Springer
EAN papier
9783662484203
EAN PDF
9783662484227

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
36
Taille du fichier
4649 Ko
Prix
147,69 €
EAN EPUB
9783662484227

Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
36
Taille du fichier
6420 Ko
Prix
147,69 €