Group gradings on filiform Lie algebras

2013/08/11 by Yuri Bahturin, Bahturin, Yuri, Michel Goze +3
Mathematics · #17B30 17B40 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:17B30 #msc:17B40

paper · pdf · doi:10.48550/arxiv.1308.2396

21 pages

arxiv created 2013/08/11 · arxiv updated 2013/08/13

Abstract

We classify, up to isomorphism, gradings by abelian groups on nilpotent filiform Lie algebras of nonzero rank. In case of rank 0, we describe conditions to obtain non trivial \Z_k-gradings.

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