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arXiv · 1810.09848

On universal $α$-central extensions of Hom-preLie algebras

Bing Sun·Liangyun Chen·Xin Zhou
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Abstract

We introduce the notion of Hom-co-represention and low-dimensional chain complex. We study universal central extensions of Hom-preLie algebras and generlize some classical results. As the same time, we introduce $α$-central extensions, universal $α$-central extensions and $α$-perfect Hom-preLie algebras. We construct universal ($α$)-central extensions of Hom-preLie algebras.

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Bing Sun, Liangyun Chen, Xin Zhou. 2018-10-20. On universal $α$-central extensions of Hom-preLie algebras. https://arxiv.org/abs/1810.09848

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