Tabla de Contenidos:
  • Contents
  • Introduction
  • Survexs:
  • Division algebras, a survey
  • Representation theory of finite dimensional algebras
  • The polynomial identities of matrices
  • 0. Introduction
  • 1. T-ideals
  • 2. Central polynomials
  • 3. Representation theory of the symmetric group and general linear group
  • 4. Trace identities
  • 5. Codimensions and cocharacters
  • 6. The ring of generic matrices
  • 7. Example: The ring of 2 x 2 generic matrices
  • The order of a finite group of Lie type
  • Restricted Lie algebras (and beyond)
  • Addresses
  • Determinants on free fieldsWeak cohomology
  • Papers in Ring Theory:
  • Applications of the classification of finite simple groups to Brauer groups
  • Generic structures and field theory
  • Balanced spaces of forms and skew cyclic transformations
  • Rings with bounded index of nilpotence
  • On the Jacobson density theorem
  • Derivations of prime rings having power-central values
  • Lie and Jordan mappings
  • Some properties of rings reflected in endomorphism rings of free modules
  • On the Galois theory of commutative rings I: Dedekind's theorem on the independence of automorphisms revisitedOn the deformation of diagrams of algebras
  • On the Gelfand-Kirillov dimensions of noetherian PI-algebras
  • A simple proof of Kostant's theorem, and an analogue for the symplectic involution
  • Affine rings satisfying a polynomial identity
  • Algebraic structure of power series rings
  • Linkage and the symmetric algebra of ideals
  • Polynomial constraints in lattice-ordered rings
  • Lie, Jordan and Nonassociative Systems
  • Reality properties of conjugacy classes in spin groups and symplectic groupsVariations on even Clifford algebras
  • On the determination of rank one Lie algebras of prime characteristic
  • Restricted simple Lie algebras of rank 2 or of toral rank 2
  • Restricted simple Lie algebras with toral Cartan subalgebras
  • Composition triples
  • Triple products, modular forms and harmonic volumes
  • Bivariants of ternary rings
  • Separable alternative algebras over commutative rings
  • Exceptional Jordan division algebras
  • An apology for Jordan algebras in quantum theory
  • Identities of non-associative algebras studied by computerGalois Theory and Other Topics:
  • On regularly closed fields
  • Some geometric applications of a differential equation in characteristic p> 0 to the theory of algebraic surfaces
  • On the inverse problem in difference Galois theory
  • Quadratic Hopf algebras and Galois extensions
  • The left antipodes of a left Hopf algebra
  • Similarity of nilpotent integer matrices, or, four elementary categories
  • Normal antilinear operators on a Hilbert space
  • Why commutative diagrams coincide with equivalent proofs