Derivations and Deformations of Lie-Yamaguti Color Algebras
Received:December 25, 2020  Revised:May 20, 2021
Key Word: Lie-Yamaguti color algebra   representation   cohomology   derivations   deformations  
Fund ProjectL:Supported by the National Natural Science of China (Grant No.11761017) and the Science and Technology Foundation of Guizhou Province (Grant No.[2020]1Y005).
Author NameAffiliation
Wen TENG School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guizhou 550025, P. R. China
School of Mathematical Sciences, Guizhou Normal University, Guizhou 550025, P. R. China 
Taijie YOU School of Mathematical Sciences, Guizhou Normal University, Guizhou 550025, P. R. China 
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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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