2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules

preprint2022arXivOpen access

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.

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2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules

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2-local derivations and biderivations of sl(2)\frak{sl}(2)sl(2) on all simple modules

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2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules