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2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules (2206.07974v1)
Published 16 Jun 2022 in math.RT and math.RA
Abstract: This paper generalizes the concepts of 2-local derivations and biderivations (without the skewsymmetric condition) of a finite-dimensional Lie algebra from the adjoint module to any finite-dimensional module, and determines all 2-local derivations and biderivations of the 3-dimensional complex simple Lie algebra $\frak{sl}(2)$ on its any finite-dimensional simple module.