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Almost split real forms for hyperbolic Kac-Moody Lie algebras
A Borel–Tits theory was developed for almost split forms of symmetrizable Kac–Moody Lie algebras. In this paper, we look to almost split real forms and their restricted root systems for symmetrizableExpand
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Classification des formes réelles presque compactes des algèbres de Kac–Moody affines
On donne une classification complete des formes reelles presque compactes des algebres de Kac-Moody affines. Ceci inclut une etude a la Borel-Tits de ces formes.
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Sous-algèbres de Cartan des algèbres de Kac-Moody réelles presque déployées
The classification of almost split real forms of symmetrizable Kac-Moody Lie algebras is a rather straightforward infinite-dimensional generalization of the classification of real semi-simple LieExpand
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Sous-algèbres de Cartan des algèbres de Kac-Moody affines réelles presque compactes.
Almost compact real forms of affine Kac-Moody Lie algebras have been already classified [J. Algebra 267, 443-513]. In the present paper, we study the conjugate classes of their Cartan subalgebrasExpand
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Kac-Moody Lie algebras graded by Kac-Moody root systems
We look to gradations of Kac-Moody Lie algebras by Kac-Moody root systems with finite dimensional weight spaces. We extend, to general Kac-Moody Lie algebras, the notion of C-admissible pair asExpand
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