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arXiv · 1807.08157

Some Leibniz bimodules of $\mathfrak{sl}_2$

T. Kurbanbaev·R. Turdibaev
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Abstract

We study complex finite-dimensional Leibniz algebra bimodule over $\mathfrak{sl}_2$ that as a Lie algebra module is split into a direct sum of two simple $\mathfrak{sl}_2$-modules. We prove that in this case there are only two non-split Leibniz $\mathfrak{sl}_2$-bimodules and we describe the actions.

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BibTeXRIS

T. Kurbanbaev, R. Turdibaev. 2018-07-21. Some Leibniz bimodules of $\mathfrak{sl}_2$. https://doi.org/10.1142/s0219498820500644

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