Article

Some Leibniz bimodules of 𝔰𝔩2

T. KurbanbaevInstitute of Mathematics of Uzbek Academy of Sciences, Tashkent 100170, UzbekistanRustam TurdibaevInha University in Tashkent, Tashkent 100170, Uzbekistan

Journal of Algebra and Its Applicationsjournal2019en

ABI

Abstract

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.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology

Identifiers

DOI: 10.1142/s0219498820500644

Citations and references

Cited by 2 6 references

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