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Classification of (n-5)-filiform Lie algebras

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Campoamor Stursberg, Otto Ruttwig and Bermudez, JMA (2001) Classification of (n-5)-filiform Lie algebras. Linear Algebra and its Applications, 336 . pp. 167-180. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/S0024379501003238



Abstract

In this paper we consider the problem of classifying the (n − 5)-filiform Lie algebras. This is the first index for which infinite parametrized families appear, as can be seen in dimension 7. Moreover we obtain large families of characteristic nilpotent Lie algebras with nilpotence index 5 and show that at least for dimension 10 there is a characteristic nilpotent Lie algebra with nilpotence index 4 which is the algebra of derivations of a nilpotent Lie algebra.


Item Type:Article
Uncontrolled Keywords:P-Filiform; Characteristically nilpotent; Lie algebras
Subjects:Sciences > Mathematics > Geometry
ID Code:14844
Deposited On:18 Apr 2012 10:28
Last Modified:12 Dec 2018 15:13

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