One-parameter formal deformations of Hom-Lie-Yamaguti algebras
Rings and Algebras
2015-06-23 v1
Abstract
This paper studies one-parameter formal deformations of Hom-Lie-Yamaguti algebras. The first, second and third cohomology groups on Hom-Lie-Yamaguti algebras extending ones on Lie-Yamaguti algebras are provided. It is proved that first and second cohomology groups are suitable to the deformation theory involving infinitesimals, equivalent deformations and rigidity. However, the third cohomology group is not suitable for the obstructions.
Keywords
Cite
@article{arxiv.1501.03675,
title = {One-parameter formal deformations of Hom-Lie-Yamaguti algebras},
author = {Yao Ma and Liangyun Chen and Jie Lin},
journal= {arXiv preprint arXiv:1501.03675},
year = {2015}
}
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