Corpus ID: 119673343

Kac-Moody Lie algebras graded by Kac-Moody root systems

@article{Messaoud2012KacMoodyLA,
  title={Kac-Moody Lie algebras graded by Kac-Moody root systems},
  author={Hechmi Ben Messaoud and G. Rousseau},
  journal={arXiv: Group Theory},
  year={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 introduced by H. Rubenthaler and J. Nervi for semi-simple and affine Lie algebras. If g is a Kac-Moody Lie algebra (with Dynkin diagram indexed by I) and (I,J) is such a C-admissible pair, we construct a C-admissible subalgebra g^J, which is a Kac-Moody Lie algebra of the same type as g, and whose root… Expand
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Generalized root graded Lie algebras
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