Quasi-filiform Leibniz algebras of maximum length |
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Authors: | L M Camacho E M Cañete J R Gómez B A Omirov |
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Institution: | 1.University of Seville,Seville,Spain;2.Institute of Mathematics and Information Technologies,Tashkent,Uzbekistan |
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Abstract: | 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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