| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5771788 | Journal of Algebra | 2017 | 18 Pages |
Abstract
We study Lie algebras L that are graded by an arbitrary group (G,â) and have finite support, X. We show that L is nilpotent of |X|-bounded class if X is arithmetically-free. Conversely: if a finite subset Y of G is not arithmetically-free, then Y supports the grading of a non-nilpotent Lie algebra.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wolfgang Alexander Moens,