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Naturally graded -filiform Leibniz algebras

✍ Scribed by L.M. Camacho; J.R. Gómez; B.A. Omirov


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
207 KB
Volume
433
Category
Article
ISSN
0024-3795

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Naturally graded quasi-filiform Lie alge
✍ J.R. Gómez; A. Jiménez-Merchán 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 154 KB

We present the classification of one type of graded nilpotent Lie algebras. We start from the gradation related to the filtration which is produced in a natural way by the descending central sequence in a Lie algebra. These gradations were studied by Vergne [Bull. Soc. Math. France 98 (1970) 81-116]

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In this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and characteristic sequence (n; q; 1) with n ≡ 1(mod 2) satisfying the centralizer property are given. This centralizer property constitutes a generalization, for any nilpotent algebra, of the structural pr