| 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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| 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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