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Group gradings on filiform Lie algebras

Published 11 Aug 2013 in math.RA | (1308.2396v1)

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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