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Original Articles

ON 2-ABELIAN (n – 5)-FILIFORM LIE ALGEBRAS

Pages 3199-3222 | Received 01 Feb 2000, Published online: 20 Oct 2011
 

Abstract

We classify the (n − 5)-filiform Lie algebras which have the additional property of a non-abelian derived subalgebra. Moreover we show that if a (n − 5)-filiform Lie algebra is characteristically nilpotent, then it must be 2-abelian.

ACKNOWLEDGMENT

Research partially supported by the D.G.I.C.Y.T project PB98-0758.

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