| Derivations and Deformations of Lie-Yamaguti Color Algebras |
| Received:December 25, 2020 Revised:May 20, 2021 |
| Key Words:
Lie-Yamaguti color algebra representation cohomology derivations deformations
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| Fund Project:Supported by the National Natural Science of China (Grant No.11761017) and the Science and Technology Foundation of Guizhou Province (Grant No.[2020]1Y005). |
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| Abstract: |
| 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 Lie-Yamaguti color algebras, and introduce the notion of a Nijenhuis operator on a Lie-Yamaguti color algebra, which can generate a trivial deformation. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.01.003 |
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