# The Polynomial Identities and Invariants of $n \times n$ Matrices

### About this Title

**Edward Formanek**

Publication: CBMS Regional Conference Series in Mathematics

Publication Year
1991: Volume 78

ISBNs: 978-0-8218-0730-9 (print); 978-1-4704-2438-1 (online)

DOI: http://dx.doi.org/10.1090/cbms/078

MathSciNet review: MR1088481

MSC: Primary 16R10; Secondary 16Kxx, 16R20, 16R30, 16S50

### Table of Contents

**Front/Back Matter**

**Chapters**

- Polynomial Identity Rings
- The Standard Polynomial and the Amitsur-Levitzki Theorem
- Central Polynomials
- Posner’s Theorem and the Ring of Generic Matrices
- The Center of the Generic Division Ring
- The Capelli Polynomial and Artin’s Theorem
- Representation Theory of the Symmetric and General Linear Groups
- The First and Second Fundamental Theorems of Matrix Invariants
- Applications of the First and Second Fundamental Theorems
- The Nagata-Higman Theorem and Matrix Invariants
- Monographs and Survey Articles with Materials on Polynomial Identities