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arxiv: 1105.2237 · v1 · pith:QAKZ5HLJnew · submitted 2011-05-11 · 🧮 math.RA

Abelian gradings in Lie algebras

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keywords abeliangradedgroupalgebraalgebrascontaingeneratedgiven
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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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