Deformation cohomology of morphisms of Lie-Yamaguti algebras

Published 9 Dec 2023 in math.RA | (2312.05469v1)

Abstract: We study cohomology of morphisms of Lie-Yamaguti algebras. As an application, we establish that this cohomology `controls' the formal deformations. Additionally, we demonstrate its connection to the abelian extension of morphisms of Lie-Yamaguti algebras.

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