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

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.

arXiv comment12

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Cited by in corpus (2)

• The construction and deformation of BiHom-Novikov agebras
• Deformation Cohomology of Lie-Yamaguti algebras and Free Lie-Yamaguti algebras