论文标题

所有简单模块上的$ \ frak {sl}(2)$ $ \ frak {sl}(2)

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

论文作者

Wang, Shujuan, Li, Zhaoxin, Tang, Xiaomin

论文摘要

本文概括了从伴随模块到任何有限维模块的有限维谎言代数的2个局部衍生和繁殖(没有偏度的条件)的概念,并确定所有2个局限性的衍生物,并确定所有3次复杂的简单lie lie algebra $ nitrite in fin its $ \ frak $ \ frak} 2} 2} 模块。

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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