Invariant Theory

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Invariant Theory

Author: Mara D. Neusel
language: en
Publisher: American Mathematical Soc.
Release Date: 2007
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.
Classical Invariant Theory

Author: Peter J. Olver
language: en
Publisher: Cambridge University Press
Release Date: 1999-01-13
The book is a self-contained introduction to the results and methods in classical invariant theory.