Arithmetically-free group-gradings of Lie algebras
Rings and Algebras
2016-08-04 v3
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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Cite
@article{arxiv.1604.03459,
title = {Arithmetically-free group-gradings of Lie algebras},
author = {Wolfgang Alexander Moens},
journal= {arXiv preprint arXiv:1604.03459},
year = {2016}
}
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