Graded Lie Algebras of the Second Kind
Copyright policy )Graded Lie Algebras of the Second Kind
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.
root systems, symmetric spaces, CR-hypersurface, real hypersurfaces, gradation of the second kind, Real submanifolds in complex manifolds, Graded Lie (super)algebras, graded Lie algebras, equivalence problem, complex manifolds, Cartan connection, Differential geometry of symmetric spaces
root systems, symmetric spaces, CR-hypersurface, real hypersurfaces, gradation of the second kind, Real submanifolds in complex manifolds, Graded Lie (super)algebras, graded Lie algebras, equivalence problem, complex manifolds, Cartan connection, Differential geometry of symmetric spaces
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