On a class of Leibniz algebras

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    We pointed out the class of Leibniz algebras such that the Killing form is non degenerate implies algebras are semisimple.

  • Keywords

    Killing form; Leibniz algebras; Leibniz modules; Representations; Semisimplicity.

  • References

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      [2] D. W. Barnes, "On Engel's theorem for Leibniz algebras", Comm. Algebra, Vol.40, No.1, (2012), 1388-1389, arXiv:1012.0608.

      [3] C. J. A. Béré, N . B. Pilabré and A. Kobmbaye "Lie's theorems on soluble Leibniz algebras.", British journal of Mathematics & Computer Science , Vol.4, No.18, (2014), pp.2570-2581.

      [4] I. Demir, K. C. Misra and E. Stitzinger "On some structures of Leibniz Algebras, ", arXiv:1307.7672v1 .

      [5] J. E. Hymphreys, Introduction to Lie Algebras and Representation Theory, Graduate Texts in Mathematics) Springer (1972).


      [6] G. Masons and G. Yamskulna, "Leibniz Algebras and Lie Algebras", Published online October 23, 2013


      [7] R. Schafer, Non associative algebras,





Article ID: 5290
DOI: 10.14419/ijams.v3i2.5290

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