Cohomology of Reynolds Leibniz algebras of nonzero weight

英文关键词:Reynolds Leibniz algebra, cohomology, Reynolds Leibniz 2-algebras, crossed module

中文摘要:

      

英文摘要:

      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.