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Abelian gradings in Lie algebras

Published 11 May 2011 in math.RA | (1105.2237v1)

Abstract: Given a Lie algebra $L$ graded by a group $G$, if $L$ is does not contain orthogonal graded ideals and $G$ is generated by the support of $L$, then $G$ is an abelian group.

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