Derivations and deformations of Lie-Yamaguti color algebras
Received:December 25, 2020  Revised:May 10, 2021
Key Word: Lie-Yamaguti color algebra   representation   cohomology   derivation   deformation  
Fund ProjectL:National Natural Science of China (Grant No.1761017)
Author NameAffiliationAddress
wen teng Guizhou University of Finance and Economics,School of Mathematics and Statistics Guizhou University of Finance and Economics,School of Mathematics and Statistics
Taijie You Guizhou Normal University,School of Mathematical Sciences 
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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.
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