Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A quick proof of the classification of simple real Lie algebras

Author(s): A. W. Knapp
Journal: Proc. Amer. Math. Soc. 124 (1996), 3257-3259.
MSC (1991): Primary 17B20, 22E15
MathSciNet review: 1340392
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Abstract | References | Similar articles | Additional information

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:

1.: N. Bourbaki, Groupes et Algèbres de Lie, Chapitres 4, 5, et 6, Hermann, Paris, 1968. MR 39:1590
2.: A. Borel and J. De Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos, Comment. Math. Helvetici 23 (1949), 200--221. MR 11:326d
3.: S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York, 1978. MR 80k:53081

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