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2 results

  • ON LIE-LIKE COMPLEX FILIFORM LEIBNIZ ALGEBRAS

  • Part of
  • B. A. OMIROV, I. S. RAKHIMOV
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 79 / Issue 3 / June 2009
    Published online by Cambridge University Press:
    14 May 2009, pp. 391-404
    Print publication:
    June 2009
    • Article
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  • In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass arises from the naturally graded filiform Lie algebras. We reconcile and simplify the structure constants of such a class. In the arbitrary fixed dimension case an effective algorithm to control the behavior of the structure constants under adapted transformations of basis is presented. In one particular case, the precise formulas for less than 10 dimensions are given. We provide a computer program in Maple that can be used in computations as well.