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Rational Constructions of Modules for Simple Lie Algebras
 
Rational Constructions of Modules for Simple Lie Algebras
eBook ISBN:  978-0-8218-7591-9
Product Code:  CONM/5.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Rational Constructions of Modules for Simple Lie Algebras
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Rational Constructions of Modules for Simple Lie Algebras
eBook ISBN:  978-0-8218-7591-9
Product Code:  CONM/5.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 51981; 185 pp
    MSC: Primary 17;

    This book is directed to researchers in Lie theory and in the theory of linear algebra, associative or otherwise, and to graduate students who have had some background in one or more of these areas.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 51981; 185 pp
MSC: Primary 17;

This book is directed to researchers in Lie theory and in the theory of linear algebra, associative or otherwise, and to graduate students who have had some background in one or more of these areas.

  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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