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arXiv · 2206.07974

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

Shujuan Wang·Zhaoxin Li·Xiaomin Tang
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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.

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Shujuan Wang, Zhaoxin Li, Xiaomin Tang. 2022-06-16. 2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules. https://arxiv.org/abs/2206.07974

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