Quasi-filiform Leibniz algebras of maximum length
L.M. CamachoUniversity of Seville, Seville, SpainE.M. CañeteUniversity of Seville, Seville, SpainJ.R. GómezUniversity of Seville, Seville, SpainB. A. OmirovInstitute of Mathematics and Information Technologies, Tashkent, Uzbekistan
ABI
Annotatsiya
The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 ≤ p ≤ 2. For Lie algebras whose nilindex is equal to n−2 there is only one characteristic sequence, (n − 2, 1, 1), while in Leibniz theory we obtain the two possibilities: (n − 2, 1, 1) and (n − 2, 2). The first case (the 2-filiform case) is already known. The present paper deals with the second case, i.e., quasi-filiform non-Lie-Leibniz algebras of maximum length. Therefore this work completes the study of the maximum length of the Leibniz algebras with nilindex n − p with 0 ≤ p ≤ 2.
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