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(
On characteristically nilpotent Lie algebras of type Q
✍ Scribed by José Marı́a Ancochea Bermúdez; Rutwig Campoamor
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 182 KB
- Volume
- 367
- Category
- Article
- ISSN
- 0024-3795
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✦ Synopsis
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 characteristically nilpotent Lie algebras in any dimension and mixed characteristic sequences.
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