Finite-Dimensional Division Algebras over Fields / by Nathan Jacobson.

Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those algebras...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Jacobson, Nathan (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1996.
Subjects:
Table of Contents:
  • Skew Polynomials and Division Algebras
  • Brauer Factor Sets and Noether Factor Sets
  • Galois Descent and Generic Splitting Fields
  • p-Algebras
  • Simple Algebras with Involution.