Algorithms in Invariant Theory

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.

List of contents

Invariant theory of finite groups.- Bracket algebra and projective geometry.- Invariants of the general linear group.

Summary

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.

Product details

• Authors: Bernd Sturmfels
• Assisted by: Pete Paule (Editor), Peter Paule (Editor), Peter Paule (Editor of the series)
• Publisher: Springer, Wien
• Languages: English
• Product format: Paperback / Softback
• Released: 23.02.2011
• EAN: 9783211774168
• ISBN: 978-3-211-77416-8
• No. of pages: 197
• Dimensions: 170 mm x 11 mm x 244 mm
• Weight: 389 g
• Illustrations: VII, 197 p.
• Series: Texts & Monographs in Symbolic Computation; Texts and Monographs in Symbolic Computation; Texts & Monographs in Symbolic Computation
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > IT; B, Artificial Intelligence, computer science, Combinatorics, Algebraic Geometry, Discrete Mathematics, Combinatorics & graph theory, Computer science—Mathematics, Maths for computer scientists, Mathematical logic, Mathematical Logic and Foundations, Mathematical foundations, Mathematical Logic and Formal Languages, Symbolic and Algebraic Manipulation, Formal Languages and Automata Theory