Quasi-filiform Leibniz algebras of maximum length

الأصل · EN

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 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 maximum length of Leibniz algebras with nilindex n-p with 0 ≤ p ≤ 2.