On nilpotent filiform Lie algebras of dimension eight

On nilpotent filiform Lie algebras of dimension eight

The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent automorphisms, in the variety of filiform Lie alge...

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Main Authors: P. Barbari, A. Kobotis
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120311201X
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spelling doaj-b08f657d50514fafa71528bf33cfb9422020-11-24T22:37:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-0120031487989410.1155/S016117120311201XOn nilpotent filiform Lie algebras of dimension eightP. Barbari0A. Kobotis1Department of Mathematics and Physics, School of Technology, Aristotle University of Thessaloniki, Thessaloniki 540 06, GreeceDepartment of Business Administration, University of Macedonia, 156 Egnatia Street, Thessaloniki 540 06, GreeceThe aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent automorphisms, in the variety of filiform Lie algebras of dimension 8 over C.http://dx.doi.org/10.1155/S016117120311201X
collection DOAJ
language English
format Article
sources DOAJ
author P. Barbari
A. Kobotis
spellingShingle P. Barbari
A. Kobotis
On nilpotent filiform Lie algebras of dimension eight
International Journal of Mathematics and Mathematical Sciences
author_facet P. Barbari
A. Kobotis
author_sort P. Barbari
title On nilpotent filiform Lie algebras of dimension eight
title_short On nilpotent filiform Lie algebras of dimension eight
title_full On nilpotent filiform Lie algebras of dimension eight
title_fullStr On nilpotent filiform Lie algebras of dimension eight
title_full_unstemmed On nilpotent filiform Lie algebras of dimension eight
title_sort on nilpotent filiform lie algebras of dimension eight
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent automorphisms, in the variety of filiform Lie algebras of dimension 8 over C.
url http://dx.doi.org/10.1155/S016117120311201X
work_keys_str_mv AT pbarbari onnilpotentfiliformliealgebrasofdimensioneight
AT akobotis onnilpotentfiliformliealgebrasofdimensioneight
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