Computational Invariant Theory (Vol 130 Encyclopaedia of Mathematical Sciences)

Derksen, Harm & Kemper, Gregor

ISBN 10: 3540434763 / ISBN 13: 9783540434764

Published by Springer, 2002

About this Item

Yellow hard cover in tidy condition. No inscriptions or markings. This is a heavy book so may require extra postage This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

Seller Inventory # 027032

Bibliographic Details

• Title: Computational Invariant Theory (Vol 130 Encyclopaedia of Mathematical Sciences)
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 3540434763
• ISBN 13: 9783540434764
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: No Jacket

About this title

Synopsis

This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

From the Back Cover

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.