A quick proof of the classification of simple real Lie algebras
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- by A. W. Knapp PDF
- Proc. Amer. Math. Soc. 124 (1996), 3257-3259 Request permission
Abstract:
Élie Cartan’s classification of the simple Lie algebras over $\mathbb {R}$ is derived quickly from some structure theory over $\mathbb {R}$ and the classification over $\mathbb {C}$.References
- N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1337, Hermann, Paris, 1968 (French). MR 0240238
- Morgan Ward and R. P. Dilworth, The lattice theory of ova, Ann. of Math. (2) 40 (1939), 600–608. MR 11, DOI 10.2307/1968944
- Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
Additional Information
- A. W. Knapp
- Affiliation: Department of Mathematics, State University of New York, Stony Brook, New York 11794
- MR Author ID: 103200
- Email: aknapp@ccmail.sunysb.edu
- Received by editor(s): April 12, 1995
- Communicated by: Roe W. Goodman
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3257-3259
- MSC (1991): Primary 17B20, 22E15
- DOI: https://doi.org/10.1090/S0002-9939-96-03448-X
- MathSciNet review: 1340392