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Completable filiform Lie algebras

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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig (2003) Completable filiform Lie algebras. Linear Algebra and its Applications, 367 . pp. 185-191. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/S0024379502006134


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Abstract

We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer n there exists a solvable complete Lie algebra whose second cohomology group with values in the adjoint module has dimension at least n.


Item Type:Article
Uncontrolled Keywords:Complete; Completable; Filiform; Lie algebras
Subjects:Sciences > Mathematics > Algebra
ID Code:20831
Deposited On:15 Apr 2013 14:05
Last Modified:12 Dec 2018 15:13

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