Invariant Theory

by Mara Neusel

This book presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. The author assumes basic knowledge of groups and rings, and introduces more advanced methods from commutative algebra along the way. The theory is illustrated by numerous examples and applications to physics, engineering, numerical analysis, combinatorics, coding theory, and graph theory. A wide selection of exercises and suggestions for further reading makes the book appropriate for an advanced undergraduate or first-year graduate level course.

314 pages, Paperback

First published January 28, 2007

Reviews

[James Swenson · Rating 4 out of 5]

This is a model textbook for advanced mathematics: a good reference but also readable, with a good collection of examples and exercises. I've used it successfully for self-study.

A list of errata is available from the author's website.

[Ethan Jensen · Rating 3 out of 5]

This book is definitely made for the beginner. It’s accessible to most undergraduates. It’s a good book but wasn’t very engaging for me. Anyone who has seen a bit more invariant theory should perhaps instead look at Stanley’s 1979 survey.