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arXiv · 2601.22774

Characterization of $n$-Lie Derivations on Generalized Matrix Algebras

Xinfeng Liang·Minghao Wang·Feng Wei
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Abstract

The principal objective of this paper is to determine the structure of $n$-Lie derivations ($n\geq 3$) on generalized matrix algebras.It is shown that under certain mild assumptions, every $n$-Lie derivation can be decomposed into the sum of an extremal $n$-derivation and an $n$-linear centrally-valued mapping. As direct applications, we provide complete characterizations of $n$-Lie derivations on both full matrix algebras and triangular algebras.

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Xinfeng Liang, Minghao Wang, Feng Wei. 2026-01-30. Characterization of $n$-Lie Derivations on Generalized Matrix Algebras. https://arxiv.org/abs/2601.22774

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