Arithmetically-free group-gradings of Lie algebras: II
Rings and Algebras
2016-08-04 v2
Abstract
We study group-graded Lie algebras L with finite support X. We show that L is nilpotent of |X|-bounded class if X is arithmetically-free. Conversely: we show that Y supports the grading of a non-nilpotent Lie algebra if Y is not arithmetically-free.
Cite
@article{arxiv.1605.05090,
title = {Arithmetically-free group-gradings of Lie algebras: II},
author = {Wolfgang Alexander Moens},
journal= {arXiv preprint arXiv:1605.05090},
year = {2016}
}
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