| Cohomology of Reynolds Leibniz Algebras of Nonzero Weight |
| Received:November 23, 2023 Revised:April 09, 2024 |
| Key Words:
Reynolds Leibniz algebra cohomology Reynolds Leibniz 2-algebras crossed module
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12271292). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2024.06.004 |
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