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arxiv: 1308.2396 · v1 · pith:QH2YACLYnew · submitted 2013-08-11 · 🧮 math.RA

Group gradings on filiform Lie algebras

classification 🧮 math.RA
keywords gradingsalgebrasfiliformrankabeliancaseclassifyconditions
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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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