Sturmfels Algorithms in Invariant Theory

2. Auflage 2008
ISBN: 978-3-211-77417-5
Verlag: Springer Vienna
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 197 Seiten

Reihe: Texts & Monographs in Symbolic Computation

J. Kung and G.-C. Rota, in their 1984 paper, write: “Like the Arabian phoenix rising out of its ashes, the theory of invariants, pronounced dead at the turn of the century, is once again at the forefront of mathematics”. The book of Sturmfels is both an easy-to-read textbook for invariant theory and a challenging research monograph that introduces a new approach to the algorithmic side of invariant theory. The Groebner bases method is the main tool by which the central problems in invariant theory become amenable to algorithmic solutions. Students will find the book an easy introduction to this “classical and new” area of mathematics. Researchers in mathematics, symbolic computation, and computer science will get access to a wealth of research ideas, hints for applications, outlines and details of algorithms, worked out examples, and research problems.

Autoren/Hrsg.

Sturmfels, Bernd

Inhaltsverzeichnis

1;Preface;6
2;Preface to the second edition;7
3;Contents;8
4;Introduction;9
5;Invariant theory of finite groups;32
6;Bracket algebra and projective geometry;83
7;Invariants of the general linear group;142
8;References;196
9;Subject index;201