Naturally graded Leibniz algebras with characteristic sequence (n − m, m)
K. K. MasutovaInstitute of Mathematics and Information Technologies, Academy of Sciences of Uzbekistan, Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics and Information Technologies, Academy of Sciences of Uzbekistan, Tashkent, UzbekistanAbror KhudoyberdiyevInstitute of Mathematics and Information Technologies, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
ABI
Аннотация
We consider the classification problem for special classes of nilpotent Leibniz algebras. Namely, we consider “naturally” graded nilpotent n-dimensional Leibniz algebras for which the right multiplication operator (by the generic element) has two Jordan blocks of dimensionsm and n − m. Earlier, the problem of classifying such algebras was studied form < 4. The present paper continues these studies for the case m ≥ 4.
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