RT Journal Article T1 Classification of (n-5)-filiform Lie algebras A1 Campoamor Stursberg, Otto-Rudwig A1 Bermúdez, J. M. A. AB 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. PB Elsevier Science SN 0024-3795 YR 2001 FD 2001 LK https://hdl.handle.net/20.500.14352/57174 UL https://hdl.handle.net/20.500.14352/57174 LA eng NO Dirección General de Investigación Científica y Técnica (España) DS Docta Complutense RD 5 abr 2025