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Almost split real forms for hyperbolic Kac-Moody Lie algebras
- H. B. Messaoud
- Mathematics
- 3 November 2006
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 symmetrizable… Expand
Classification des formes réelles presque compactes des algèbres de Kac–Moody affines
- H. B. Messaoud, G. Rousseau
- Mathematics
- 15 September 2003
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.
Sous-algèbres de Cartan des algèbres de Kac-Moody réelles presque déployées
- H. B. Messaoud, G. Rousseau
- Mathematics
- 1 October 2006
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 Lie… Expand
Sous-algèbres de Cartan des algèbres de Kac-Moody affines réelles presque compactes.
- H. B. Messaoud, G. Rousseau
- Mathematics
- 2006
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 subalgebras… Expand
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Kac-Moody Lie algebras graded by Kac-Moody root systems
- H. B. Messaoud, G. Rousseau
- Mathematics
- 20 July 2012
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 as… Expand