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On the product by generators of characteristically nilpotent Lie S-algebras

✍ Scribed by José Marı́a Ancochea Bermúdez; Rutwig Campoamor-Stursberg

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
147 KB
Volume
184
Category
Article
ISSN
0022-4049

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✦ Synopsis

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(h)=dim Z(h) is as small as wanted.

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