Invariant Theory

Front Cover
American Mathematical Soc., 2007 - Mathematics - 314 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
ix
Part 1 Recollections
7
Part 2 Introduction and Göbels Bound
43
Part 3 The First Fundamental Theorem of Invariant Theory and Noethers Bound
97
Part 4 Noethers Theorems
159
Part 5 Advanced Counting Methods and the ShephardToddChevalley Theorem
223
Appendix A Rational Invariants
287
Suggestions for Further Reading
303
Notation Index
305
Subject Index
307
Back Cover
317
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information