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Constructions of Lie algebras and their modules /

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This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root s...

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Bibliographic Details
Main Author: Seligman, George B., 1927-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1988]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1300.
Subjects:
Lie algebras.
Modules (Algebra)
Algèbre Lie.
Module.
Algèbre Jordan simple.
Lie, Algèbres de.
Modules (Algèbre)
Modules (algèbre)
Lie-Algebra.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • General Considerations
  • Involutorial Algebras and Modules for Their Skew Elements
  • Construction of Modules with Prescribed Relative Highest Weights, for the Isotropic Algebras of Chapter 3
  • Construction of Exceptional Algebras from Quadratic Forms
  • Representations of Exceptional Algebras Constructed from Quadratic Forms
  • Non-reduced Exceptional Algebras with a One-dimensional Root Space
  • Construction of Modules for the Super-exceptional Algebras of Rank One
  • Complements
  • Bibliography
  • Index.