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CHARACTERISTICALLY NILPOTENT LIE ALGEBRAS

โœ Scribed by Khakimdzhanov, Yu B

Book ID
121303000
Publisher
Turpion
Year
1991
Tongue
English
Weight
731 KB
Volume
70
Category
Article
ISSN
0025-5734

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๐Ÿ“œ SIMILAR VOLUMES

On characteristically nilpotent Lie alge
On characteristically nilpotent Lie algebras of type Q
โœ Josรฉ Marฤฑฬa Ancochea Bermรบdez; Rutwig Campoamor ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
โœ Josรฉ Marฤฑฬa Ancochea Bermรบdez; Rutwig Campoamor-Stursberg ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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(