Index of Graded Filiform and Quasi Filiform Lie Algebras

2012/12/07 by Hadjer Adimi, Adimi, Hadjer, Abdenacer Makhlouf +1
Mathematics · #17-08 #17B15 #17B30 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:17-08 #msc:17B15 #msc:17B30

paper · pdf · doi:10.48550/arxiv.1212.1650

arxiv created 2012/12/07 · arxiv updated 2012/12/10

Abstract

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 class of nilpotent Lie algebras. we consider the graded filiform Lie algebras L_n, Q_n, the n-dimensional filiform Lie algebras for n <8, also the graded quasi-filiform Lie algebras and finally Lie algebras whose nilradical is Q_2n.

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