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arXiv · 2308.03655

Deformation Cohomology of Lie-Yamaguti algebras and Free Lie-Yamaguti algebras

Saikat Goswami
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Abstract

Infinitesimal deformation theory of Lie-Yamaguti algebras was introduced by Tao Zhang and Juan Li . We extend their theory to develop formal one-parameter deformation theory of Lie-Yamaguti algebras. It turns out that the right deformation cohomology which controls deformations in this context, is a variant of Lie-Yamaguti algebra cohomology which we introduce in this paper. At the end, we introduce the free object in the category of Lie-Yamaguti algebras and prove that it is rigid.

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BibTeXRIS

Saikat Goswami. 2023-08-07. Deformation Cohomology of Lie-Yamaguti algebras and Free Lie-Yamaguti algebras. https://doi.org/10.1080/00927872.2025.2499701

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