Splitting partially commutative Lie algebras into direct sums

2023/07/09 by Poroshenko, Evgeny
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2307.04240

Abstract

In this work, we prove that partially commutative, partially commutative metabelian, or partially commutative nilpotent Lie algebra splits into the direct sum of two subalgebras if and only if the completion of the defining graph of this algebra is not connected.

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