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Rational Constructions of Modules for Simple Lie Algebras

About this Title

George B. Seligman

Publication: Contemporary Mathematics
Publication Year: 1981; Volume 5
ISBNs: 978-0-8218-5008-4 (print); 978-0-8218-7591-9 (online)
DOI: https://doi.org/10.1090/conm/005
MathSciNet review: 634510

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Table of Contents

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Front/Back Matter

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Chapters

• I. Generalities on Finite-Dimensional Modules
• II. Behavior upon Splitting. Cartan Multiplication
• III. Mappings Satisfying Symmetric Identities
• IV. Structure of Symmetric Powers
• V. Construction of Representations: Type A and Type C (First Kind)
• VI. Construction of Representations: Type C (Second Kind)
• VII. Modules for Lie Algebras of Quadratic Forms
• VIII. Exceptional Types I: $F_4$ with Associative Coefficients
• IX. Exceptional Types II: Lie Algebras Coordinatized by Octonions
• X. Exceptional Types III: Relative Type $A_1$
• XI. Exceptional Types IV: Relative Type $G_2$
• Appendices: Splitting Information
• References