Corpus ID: 126045351

Sous-algèbres de Cartan des algèbres de Kac-Moody affines réelles presque compactes.

@article{Messaoud2006SousalgbresDC,
  title={Sous-alg{\`e}bres de Cartan des alg{\`e}bres de Kac-Moody affines r{\'e}elles presque compactes.},
  author={H. Messaoud and G. Rousseau},
  journal={Journal of Lie Theory},
  year={2006},
  volume={17},
  pages={1-25}
}

• H. Messaoud, G. Rousseau
• Published 2006
• Mathematics
• Journal of Lie Theory

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 under the adjoint groups or the full automorphism groups. Maximally compact Cartan subalgebras are all conjugated to a standard one $h$ and one may compare any Cartan subalgebra to $h$. Cartan subalgebras are related to non compact unitary roots of $h$ and one can see especially that the number of the… Expand

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