On Some Classes of Nilpotent Leibniz Algebras

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Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five (2005, unknown): “By Theorem 2 of Ayupov and Omirov (2001), any complex n -dimensional ﬁliform non-Lie Leibniz algebra is isomorphic to one of the following algebras: where (cid:10)e 0 e 1 e n − 1 is a basis of L. Checking up the following family g t of transformations from GL n (cid:2)C(cid:4) : g t (cid:2)e 0 = t…”
Relationships between factors of canonical central series of Leibniz algebras (2016, background): “Omirov [3] and continued in the papers [1,2,4,7,15,20], sometimes under different approaches.”
Classification of 4-dimensional nilpotent complex Leibniz algebras (2006, unknown): “…algebrasand they wereintroduced by J.-L.Loday [8], asalgebraswhich satisfy the following identity: [x;[y;z]]= [[x;y];z] [[x;z];y]: They appeared toberelated in anaturalwaytoseveraltopicssuch asdi erential geom etry,hom ologicalalgebra,classicalgebraictopology,algebraicK…”
On Description of Leibniz Algebras Corresponding to sl2 (2013, background): “, the classification problems of nilpotent part and its subclasses [1, 2, 4, 16–21], e.”