num_pages: 314
description: 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.
language: English
title: Invariant Theory
publisher: American Mathematical Society