2-local derivations and biderivations of \fraksl(2) on all simple modules

2022/06/16 by Wang, Shujuan, Li, Zhaoxin, Tang, Xiaomin
#17B05 #17B10 #17B45 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2206.07974

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 \fraksl(2) on its any finite-dimensional simple module.

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