Finite-dimensional Leibniz algebra representations of $\mathfrak{sl}_2$

Year 2021, Volume: 50 Issue: 3, 845 - 854, 07.06.2021

Tuuelbay Kurbanbaev , Rustam Turdibaev

https://doi.org/10.15672/hujms.788994

Abstract

All finite-dimensional Leibniz algebra bimodules of a Lie algebra $\mathfrak{sl}_2$ over a field of characteristic zero are described.

Keywords

Leibniz algebra, Leibniz algebra bimodule, Finite-dimensional Leibniz algebra

Supporting Institution

Karakalpak State University

Project Number

ОТ-4-27

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