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arXiv · 2112.10914

Cohomologies and deformations of pre-Lie-morphism triples

Yibo Wang·Shilong Zhang·Jiefeng Liu
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Abstract

A (pre-)Lie-morphism triple consists of two (pre-)Lie algebras and a (pre-)Lie algebra homomorphism between them. We give chomologies of pre-Lie-morphism triples. As an application, we study the infinitesimal deformations of pre-Lie-morphism triples. Finally, we show that the cohomology of the pre-Lie-morphism triple can be deduced from a new cohomology of the Lie-morphism triple.

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Yibo Wang, Shilong Zhang, Jiefeng Liu. 2021-12-21. Cohomologies and deformations of pre-Lie-morphism triples. https://arxiv.org/abs/2112.10914

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