Index of Graded Filiform and Quasi Filiform Lie Algebras

Index of Graded Filiform and Quasi Filiform Lie Algebras

The filiform and the quasi-filiform Lie algebras form a special class of nilpotent Lie algebras. The aim of this paper is to compute the index and provide regular vectors of this two classes of nilpotent Lie algebras. We consider graded filiform Lie algebras Ln, Qn, then n-dimensional filiform Lie a...

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Veröffentlicht in:Filomat 2013-01, Vol.27 (3), p.467-483
Hauptverfasser: Adimi, Hadjer, Makhlouf, Abdenacer
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
General Mathematics
Mathematics
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Zusammenfassung:The filiform and the quasi-filiform Lie algebras form a special class of nilpotent Lie algebras. The aim of this paper is to compute the index and provide regular vectors of this two classes of nilpotent Lie algebras. We consider graded filiform Lie algebras Ln, Qn, then n-dimensional filiform Lie algebras for n < 8, also graded quasi-filiform Lie algebras and finally Lie algebras whose nilradical is Q2n.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1303467A