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Jordan Algebras and Algebraic Groups /

From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with...

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Bibliographic Details
Main Author: Springer, Tonny A.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1973.
Series:Classics in mathematics ; 75.
Subjects:
Mathematics.
Group theory.
Algebra.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preliminaries
  • J-structures
  • Examples
  • The Quadratic Map of a J-structure
  • The Lie Algebras Associates with a J-structure
  • J-structures of Low Degree
  • Relation with Jordan Algebras
  • Relation with Quadratic Jordan Algebras
  • The Minimum Polynomial of an Element
  • Ideals, the Radical
  • Peirce Decomposition Defined by an Idempotent Element
  • Classification of Certain Algebraic Groups. Strongly Simple J-structures
  • Simple J-structures
  • The Structure Group of a Simple J-structure and the Related Lie Algebras
  • Rationality Questions.