4.2 Article

Some Leibniz bimodules of sl2

Journal

JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Volume 19, Issue 4, Pages -

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219498820500644

Keywords

Leibniz algebra; Leibniz algebra bimodule

Funding

  1. [EPhiA-Phitex-2018-79]

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We study complex finite-dimensional Leibniz algebra bimodule over sl(2) that as a Lie algebra module is split into a direct sum of two simple sl(2)-modules. We prove that in this case there are only two nonsplit Leibniz sl(2)-bimodules and we describe the actions.

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