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Characteristically nilpotent Lie algebras

✍ Scribed by Yu. B. Khakimdzhanov

Publisher
Springer US
Year
1989
Tongue
English
Weight
696 KB
Volume
28
Category
Article
ISSN
0002-5232

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πŸ“œ SIMILAR VOLUMES

On characteristically nilpotent Lie alge
On characteristically nilpotent Lie algebras of type Q
✍ JosΓ© Marı́a Ancochea BermΓΊdez; Rutwig Campoamor πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 182 KB

We construct large families of characteristically nilpotent Lie algebras by analyzing the centralizers of the ideals in the central descending sequence of the Lie algebra Q n and deforming its extensions preserving the structure of these centralizers and the natural graduation. This provides charact

On the product by generators of characte
On the product by generators of characteristically nilpotent Lie S-algebras
✍ JosΓ© Marı́a Ancochea BermΓΊdez; Rutwig Campoamor-Stursberg πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 147 KB

We show that the product by generators preserves the characteristic nilpotence of Lie algebras, provided that the multiplied algebras belongs to the class of S-algebras. In particular, this shows the existence of nonsplit characteristically nilpotent Lie algebras h such that the quotient dim hdim Z(