Classification of (n-5)-filiform Lie algebras

Details Classification of (n-5)-filiform Lie algebras Classification of (n-5)-filiform Lie algebras

2000-12-26

arxiv.org/abs/math/0012246v1

Mathematics

Rings and Algebras

30 pages, 9 tables. Tables 8 and 9 should be printed horizontally

Scientific paper

In this paper we consider the problem of classifying the $(n-5)$-filiform Lie algebras. This is the first index for which infinite parametrized families appear, as can be seen in dimension $7.$ Moreover we obtain large families of characteristic nilpotent Lie algebras with nilpotence index 5 and show that at least for dimension 10 there is a characteristic nilpotent Lie algebra with nilpotence index 4 which is the algebra of derivations of a nilpotent Lie algebra.

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