Description
Book SynopsisProvides a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of $m\times m$ matrices with coefficients in an infinite field or even the ring of integers, invariant under simultaneous conjugation.
Trade ReviewThe present book is a nice and introductory reference to graduate students or researchers who are working in the field of representation and invariant theory." — Yin Chen,
Zentralblatt MATH"The choices made by the authors permit them to highlight the main results and also to keep the material within the reach of an interested reader. At the same time, the book remains open-ended with precise pointers to the literature on other approaches and the cases not treated here." — Felipe Zaldivar,
MAA ReviewsTable of Contents
- Introduction and preliminaries
- The classical theory
- Quasi-hereditary algebras
- The Schur algebra
- Matrix functions and invariants
- Relations
- The Schur algebra of a free algebra
- Bibliography
- General index
- Symbol index.
