Sous-algèbres de Cartan des algèbres de Kac-Moody réelles presque déployées

@article{Messaoud2006SousalgbresDC,
  title={Sous-alg{\`e}bres de Cartan des alg{\`e}bres de Kac-Moody r{\'e}elles presque d{\'e}ploy{\'e}es},
  author={H. B. Messaoud and G. Rousseau},
  journal={Journal of The Mathematical Society of Japan},
  year={2006},
  volume={58},
  pages={1009-1030}
}
  • H. B. Messaoud, G. Rousseau
  • Published 2006
  • Mathematics
  • Journal of The Mathematical Society of Japan
  • 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 algebras in terms of the Tits index [J. Algebra 171 (1995), 43-96]. We study here the conjugate classes of their Cartan subalgebras under the adjoint groups or the full automorphism groups. Maximally split Cartan subalgebras of an almost split real Kac-Moody Lie algebra are mutually conjugate and one… CONTINUE READING
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