ON LIE-LIKE COMPLEX FILIFORM LEIBNIZ ALGEBRAS
B. A. OmirovInstitute of Mathematics, Uzbekistan Academy of Science, F. Hodjaev str. 29, 100125 Tashkent, UzbekistanI. S. RakhimovInstitute for Mathematical Research (INSPEM), Department of Mathematics, Universiti Putra Malaysia, Faculty of Science, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
ABI
Annotatsiya
Abstract 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.
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