Universidad Complutense de Madrid
E-Prints Complutense

Classification of (n−5) -filiform Lie algebras

Impacto

Downloads

Downloads per month over past year

Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig (2001) Classification of (n−5) -filiform Lie algebras. Linear Algebra and its Applications, 336 (1-3). pp. 167-180. ISSN 0024-3795

[img] PDF
Restringido a Repository staff only

94kB

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


URLURL Type
http://www.sciencedirect.comPublisher


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 > Algebra
ID Code:20946
Deposited On:19 Apr 2013 17:27
Last Modified:12 Dec 2018 15:13

Origin of downloads

Repository Staff Only: item control page