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arXiv · 1604.03459

Arithmetically-free group-gradings of Lie algebras

Wolfgang Alexander Moens
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Abstract

A Lie algebra L is known to be nilpotent if it admits a grading by (Zp, +) with support X not containing 0. It is also known that the class of L can be bounded by some explicit function of |X|. We generalise this and other classical results to gradings of Lie algebras by arbitrary groups with arithmetically-free support. We then apply these results to automorphisms of groups satisfying an identity.

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Wolfgang Alexander Moens. 2016-08-03. Arithmetically-free group-gradings of Lie algebras. https://arxiv.org/abs/1604.03459

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