Arithmetically-free group-gradings of Lie algebras: II

Arithmetically-free group-gradings of Lie algebras: II

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.

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1. Verfasser: Moens, Wolfgang Alexander
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Rings and Algebras
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Zusammenfassung: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.
DOI:10.48550/arxiv.1605.05090