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Some Leibniz bimodules of 𝔰𝔩2

T. KurbanbaevInstitute of Mathematics of Uzbek Academy of Sciences, Tashkent 100170, UzbekistanRustam TurdibaevInha University in Tashkent, Tashkent 100170, Uzbekistan
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We study complex finite-dimensional Leibniz algebra bimodule over [Formula: see text] that as a Lie algebra module is split into a direct sum of two simple [Formula: see text]-modules. We prove that in this case there are only two nonsplit Leibniz [Formula: see text]-bimodules and we describe the actions.

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