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]
✦ LIBER ✦
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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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