Description

Book Synopsis
Explores applications of Jordan theory to the theory of Lie algebras. After presenting the general theory of nonassociative algebras and of Lie algebras, the book then explains how properties of the Jordan algebra attached to a Jordan element of a Lie algebra can be used to reveal properties of the Lie algebra itself.

Table of Contents
  • Introduction
  • Nonassociative algebras
  • General facts on Lie algebras
  • Absolute zero divisors
  • Jordan elements
  • von Neumann regular elements
  • Extremal elements
  • A characterization of strong primeness
  • From Lie algebras to Jordan algebras
  • The Kostrikin radical
  • Algebraic Lie algebras and local finiteness
  • From Lie algebras to Jordan pairs
  • An Artinian theory for Lie algebras
  • Inner ideal structure of Lie algebras
  • Classical infinite-dimensional Lie algebras
  • Classical Banach-Lie algebras
  • Bibliography
  • Index of notations
  • Index

    Jordan Structures in Lie Algebras

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      £101.70

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      RRP £113.00 – you save £11.30 (10%)

      Order before 4pm tomorrow for delivery by Tue 23 Jun 2026.

      A Hardback by Antonio Fernand Lopez

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        View other formats and editions of Jordan Structures in Lie Algebras by Antonio Fernand Lopez

        Publisher: MP-AMM American Mathematical
        Publication Date: 8/30/2019 12:00:00 AM
        ISBN13: 9781470450861, 978-1470450861
        ISBN10: 1470450860

        Description

        Book Synopsis
        Explores applications of Jordan theory to the theory of Lie algebras. After presenting the general theory of nonassociative algebras and of Lie algebras, the book then explains how properties of the Jordan algebra attached to a Jordan element of a Lie algebra can be used to reveal properties of the Lie algebra itself.

        Table of Contents
        • Introduction
        • Nonassociative algebras
        • General facts on Lie algebras
        • Absolute zero divisors
        • Jordan elements
        • von Neumann regular elements
        • Extremal elements
        • A characterization of strong primeness
        • From Lie algebras to Jordan algebras
        • The Kostrikin radical
        • Algebraic Lie algebras and local finiteness
        • From Lie algebras to Jordan pairs
        • An Artinian theory for Lie algebras
        • Inner ideal structure of Lie algebras
        • Classical infinite-dimensional Lie algebras
        • Classical Banach-Lie algebras
        • Bibliography
        • Index of notations
        • Index

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