Local Lie $n$-derivations on certain algebras

Shan Li; Jiankui Li

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arXiv · 2111.13830

Local Lie $n$-derivations on certain algebras

Shan Li·Jiankui Li

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Abstract

We prove that each local Lie $n$-derivation is a Lie $n$-derivation under mild assumptions on the unital algebras with a nontrivial idempotent. As applications, we obtain descriptions of local Lie $n$-derivations on generalized matrix algebras, triangular algebras, nest algebras, von Neumann algebras, and the algebras of locally measurable operators affiliated with a von Neumann algebra.

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Shan Li, Jiankui Li. 2021-11-27. Local Lie $n$-derivations on certain algebras. https://arxiv.org/abs/2111.13830

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