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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

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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
American Mathematical Society