Cover Image

Rings with polynomial identities and finite dimensional representations of algebras /

Bibliographic Details
Main Authors: Aljadeff, Eli (Eliahu), 1956- (Author), Giambruno, A. (Author), Procesi, Claudio (Author), Regev, Amitai (Author)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2020]
Series:Colloquium publications (American Mathematical Society) ; v. 66.
Subjects:
Polynomial rings.
PI-algebras.
Representations of algebras.
Table of Contents:
  • Noncommutative algebra
  • Universal algebra
  • Symmetric functions and matrix invariants
  • Polynomial maps
  • Azumaya algebras and irreducible representations
  • Tensor symmetry
  • Growth
  • Shirshov's height theorem
  • 2 x 2 matrices
  • Matrix identities
  • Structure theorems
  • Invariants and trace identities
  • Involutions and matrices
  • A geometric approach
  • Spectrum and dimension
  • The nilpotent radical
  • Finite-dimensional and affine PI algebras
  • The relatively free algebras
  • Identities and superalgebras
  • The Specht problem
  • The PI-exponent
  • Codimension growth for matrices
  • Codimension growth for algebras satisfying a Capelli identity.