One-parameter formal deformations of Hom-Lie-Yamaguti algebras

Yao Ma; Liangyun Chen; Jie Lin

doi:10.1063/1.4905733

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arXiv · 1501.03675

One-parameter formal deformations of Hom-Lie-Yamaguti algebras

Yao Ma·Liangyun Chen·Jie Lin

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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.

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Yao Ma, Liangyun Chen, Jie Lin. 2015-01-15. One-parameter formal deformations of Hom-Lie-Yamaguti algebras. https://doi.org/10.1063/1.4905733

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