
Algorithms in Invariant Theory
Bernd Sturmfels(Author)
Springer (Publisher)
2nd Edition
Published on 28. April 2008
Book
Paperback/Softback
VII, 197 pages
978-3-211-77416-8 (ISBN)
Description
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.
More details
Series
Edition
2nd ed. 2008
Language
English
Place of publication
Vienna
Austria
Publishing group
Springer Wien
Target group
Professional and scholarly
Research
Edition type
New edition
Illustrations
VII, 197 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 12 mm
Weight
369 gr
ISBN-13
978-3-211-77416-8 (9783211774168)
DOI
10.1007/978-3-211-77417-5
Schweitzer Classification
Other editions
Additional editions

Bernd Sturmfels
Algorithms in Invariant Theory
E-Book
06/2008
2nd Edition
Springer
€139.09
Available for download
Previous edition
Bernd Sturmfels
Algorithms in Invariant Theory
Book
07/1993
Springer
€36.38
Article exhausted; check for reprint
Persons
Paul Breiding is professor for mathematical methods in data science at the University of Osnabrück, an Emmy-Noether Research Group Leader and member of the Academy of Sciences and Literature Mainz. In 2021 he received the Early Career Prize of the SIAM Activity Group on Algebraic Geometry. His interests lie in numerical and random algebraic geometry. He is one of the developers of the software HomotopyContinuation.jl.
Kathlén Kohn is a tenure-track assistant professor at KTH in Stockholm. Her research investigates the underlying geometry in computer-vision, machine-learning and statistical problems, using algebraic methods. For her research in computer vision, she received the Best Student Paper Award at the International Conference on Computer Vision (ICCV) in 2019 and the Swedish L'Oréal-Unesco for Women in Science prize in 2023.
After many years at UC Berkeley, Bernd Sturmfels now serves as a director at the Max-Planck Institute for Mathematics in the Sciences in Leipzig, Germany, where he leads the Nonlinear Algebra group. He has published 10 books and 300 articles, and he mentored 60 doctoral students, plus countless postdocs. His interests range from algebraic geometry and combinatorics to statistics, optimization and physics.
Content
Invariant theory of finite groups.- Bracket algebra and projective geometry.- Invariants of the general linear group.