Arithmetically-free group-gradings of Lie algebras: II
classification
🧮 math.RA
keywords
arithmetically-freealgebrasalgebraboundedclassconverselyfinitegrading
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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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