摘要
In this paper,we introduce the representation and cohomology theory of Lie-Yamaguti color algebras.Furthermore,we introduce the notions of generalized derivations of Lie-Yamaguti color algebras and present some properties.Finally,we study linear deformations of LieYamaguti color algebras,and introduce the notion of a Nijenhuis operator on a Lie-Yamaguti color algebra,which can generate a trivial deformation.
基金
Supported by the National Natural Science of China(Grant No.11761017)
the Science and Technology Foundation of Guizhou Province(Grant No.[2020]1Y005)。
