Rational constructions of modules for simple Lie algebras

By: Seligman, George BMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 5Publication details: Providence, R.I. : American Mathematical Society, c1981Description: 1 online resource (xiii, 185 p.)ISBN: 9780821875919 (online)Subject(s): Lie algebras | Modules (Algebra)Online resources: Click here to access online
Contents:
I. Generalities on FiniteDimensional 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:
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Bibliography: p. 184185.

I. Generalities on FiniteDimensional 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: _4 with Associative Coefficients ; IX. Exceptional Types II: Lie Algebras Coordinatized by Octonions ; X. Exceptional Types III: Relative Type _1 ; XI. Exceptional Types IV: Relative Type _2 ; Appendices: Splitting Information ; References

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