A class of nilpotent lie algebras |
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| Authors: | J.M. Cabezas R.M. Navarro |
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| Affiliation: | 1. Dpto. de Matemática Aplicada , Univ. del País Vasco , Nieves Cano 12, Vitoria, 01006, Spain E-mail: mapcamaj@vc.ehu.es;2. Dpto. de Matemáticas , Univ. de Extremadura , Avda. de la Universidad S.N, Cáceres, 10071, Spain E-mail: rnavarro@unex.es |
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| Abstract: | A p-filiform Lie algebra g is a nilpotent Lie algebra for which Goze’s invariant is (n–p,1,…,1). These Lie algebras are well known for P ≥ n-4n = dim(g). In this paper we describe the p-filiform Lie algebras, for p = n-5 and we gjive their classification when the derived subalgebra is maximal. |
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