Cohomologies and deformations of pre-Lie-morphism triples
Rings and Algebras
2021-12-22 v1
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.
Keywords
Cite
@article{arxiv.2112.10914,
title = {Cohomologies and deformations of pre-Lie-morphism triples},
author = {Yibo Wang and Shilong Zhang and Jiefeng Liu},
journal= {arXiv preprint arXiv:2112.10914},
year = {2021}
}
Comments
15pages