Biderivations of ${\mathfrak s}{\mathfrak l}(2)$ on All Simple Modules in Prime Characteristic

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2025年1月5日

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Shujuan Wang,
Yufeng Yao,
Zhaoxin Li

摘要

Over an algebraically closed field of characteristic p > 2, this paper gives a sufficient and necessary condition for a map from the Cartesian product of a finite-dimensional Lie algebra with itself two times to its any nontrivial and simple module to be a symmetric biderivation, and determines all biderivations of the 3-dimensional simple Lie algebra ${\mathfrak s}{\mathfrak l}(2)$ $s l (2)$ on its any finite-dimensional simple module.

Biderivations of \({\mathfrak s}{\mathfrak l}(2)\) on All Simple Modules in Prime Characteristic

摘要