Cohomology of Reynolds Leibniz algebras of nonzero weight
Received:November 23, 2023  Revised:February 22, 2024
Key Words: Reynolds Leibniz algebra, cohomology, Reynolds Leibniz 2-algebras, crossed module  
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Yizheng Li* Guizhou University of Finance and Economics 550025
Dingguo Wang Qufu Normal University 
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Abstract:
      In this paper, we define the cohomology of a Reynolds Leibniz algebra with coefficients in a suitable representation. We also introduce the notion of Reynolds Leibniz 2-algebras, and prove that strict Reynolds Leibniz 2-algebras are equivalent to crossed modules of Reynolds Leibniz algebras.
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