Graded Lie algebras of the second kind

Chêng, Jih Hsin

doi:10.1090/S0002-9947-1987-0891630-X

Graded Lie algebras of the second kind
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by Jih Hsin Chêng PDF

Trans. Amer. Math. Soc. 302 (1987), 467-488 Request permission

Abstract:

The associated Lie algebra of the Cartan connection for an abstract CR-hypersurface admits a gradation of the second kind. In this article, we give two ways to characterize this kind of graded Lie algebras, namely, geometric characterization in terms of symmetric spaces and algebraic characterization in terms of root systems. A complete list of this class of Lie algebras is given.

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