2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules
Representation Theory
2022-06-17 v1 Rings and Algebras
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 on its any finite-dimensional simple module.
Cite
@article{arxiv.2206.07974,
title = {2-local derivations and biderivations of $\frak{sl}(2)$ on all simple modules},
author = {Shujuan Wang and Zhaoxin Li and Xiaomin Tang},
journal= {arXiv preprint arXiv:2206.07974},
year = {2022}
}