Conjugacy of Cartan subalgebras of complex finite dimensional Leibniz algebras

@article{Omirov2006ConjugacyOC,
  title={Conjugacy of Cartan subalgebras of complex finite dimensional Leibniz algebras},
  author={B. A. Omirov},
  journal={Journal of Algebra},
  year={2006},
  volume={302},
  pages={887-896}
}
  • B. Omirov
  • Published 15 August 2006
  • Mathematics
  • Journal of Algebra
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ABSTRACT Leibniz algebras that are noncommutative generalizations of Lie algebras are considered. Nilpotent and simple Leibniz algebras are investigated. The structure theory of finite-dimensional
Crossed extensions of leibniz algebras
Crossed extensions of Leibniz algebras are studied, and an enlargement to eight terms of a five term exact and natural sequence for Leibniz cohomology is obtained. This eight term natural and exact
The Second Leibniz Homology Group for Kac–Moody Lie Algebras
It is well known that the second homology group of any Kac–Moody Lie algebra and the Virasoro algebra is trivial. This is equivalent to saying that any Kac–Moody Lie algebra (or the Virasoro algebra)
Ten-Term Exact Sequence of Leibniz Homology
Abstract We construct a ten-term exact sequence of low dimensional Leibniz homology associated to a short exact sequence of Leibniz algebras. As a consequence we obtain an eight-term exact sequence
Homology and cohomology with coefficients, of an algebra over a quadratic operad
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Une version non commutative des algèbres de Lie : les algèbres de Leibniz
© Université Louis Pasteur (Strasbourg), 1993, tous droits réservés. L’accès aux archives de la série « Recherche Coopérative sur Programme no 25 » implique l’accord avec les conditions générales
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