Sturmfels B. Algorithms in Invariant Theory 2ed 2008

Textbook in PDF format

This book 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. 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 research ideas, hints for applications, outlines and details of algorithms, examples and problems.
Introduction
Invariant theory of finite groups
Bracket algebra and projective geometry
Invariants of the general linear group