Computational Invariant Theory (Paperback) (ISBN-13: 9783642077968)

Invariant theory is a subject with a long tradition and an astounding abil- ity to rejuvenate itself whenever it reappears on the mathematical stage. Throughout the history of invariant theory, two features of it have always been at the center of attention: computation and applications. This book is about the computational aspects of invariant theory. We present algorithms for calculating the invariant ring of a group that is linearly reductive or fi- nite, including the modular case. These algorithms form the central pillars around which the book is built. To prepare the ground for the algorithms, we present Grabner basis methods and some general theory of invariants. Moreover, the algorithms and their behavior depend heavily on structural properties of the invariant ring to be computed. Large parts of the book are devoted to studying such properties. Finally, most of the applications of in- variant theory depend on the ability to calculate invariant rings. The last chapter of this book provides a sample of applications inside and outside of mathematics.

Author: Harm Derksen,Gregor Kemper
ISBN-10: 364207796X
ISBN-13: 9783642077968
Publisher: Springer
Language: English
Published: 12/01/2010
Pages: 268
Format: Paperback
Weight: 0.87lbs
Size: 9.21h x 6.14w x 0.59d