Cohomology of Reynolds Leibniz Algebras of Nonzero Weight  

作　　者：Yizheng LI Dingguo WANG 

机构地区：[1]School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China [2]School of Mathematical Sciences,Qufu Normal University,Shandong 273165,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第6期741-753,共13页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12271292)。

摘　　要：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.

关 键 词：Reynolds Leibniz algebra COHOMOLOGY Reynolds Leibniz 2-algebras crossed module 

分 类 号：O15[理学—数学]