Rational constructions of modules for simple Lie algebras / [electronic resource] George B. Seligman.

By: Seligman, George B, 1927-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 5.Publication details: Providence, R.I. : American Mathematical Society, c1981Description: 1 online resource (xiii, 185 p.)ISBN: 9780821875919 (online)Subject(s): Lie algebras | Modules (Algebra)Additional physical formats: Rational constructions of modules for simple Lie algebras /DDC classification: 512/.55 LOC classification: QA252.3 | .S437Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Bibliography: p. 184-185.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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