Buch, Englisch, Band 130, 268 Seiten, Previously published in hardcover, Format (B × H): 156 mm x 234 mm, Gewicht: 430 g
Buch, Englisch, Band 130, 268 Seiten, Previously published in hardcover, Format (B × H): 156 mm x 234 mm, Gewicht: 430 g
Reihe: Encyclopaedia of Mathematical Sciences
ISBN: 978-3-642-07796-8
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
Weitere Infos & Material
1 Constructive Ideal Theory.- 2 Invariant Theory.- 3 Invariant Theory of Finite Groups.- 4 Invariant Theory of Reductive Groups.- 5 Applications of Invariant Theory.- A Linear Algebraic Groups.- References.- Notation.
