The present paper is devoted to studying local derivations on the Lie algebra $W(2,2)$ which has some outer derivations. Using some linear algebra methods in \cite{CZZ} and a key construction for $W(2,2)$ we prove that every local derivation on $W(2, 2)$ is a derivation. As an application, we determine all local derivations on the deformed $\mathfrak{bms}_3$ algebra.

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Local derivations on the Lie algebra W(2, 2)

Abstract The present paper is devoted to study 2-Local derivations on the Schrödinger algebra in (2 + 1)-dimensional space-time of Schrödinger Lie groups. We prove that every 2-local derivation on this algebra is a derivation.

2-Local derivations on Schrödinger algebra in (2 + 1)- dimensional space-time

The present paper is devoted to studying local derivations on the super Virasoro algebra which is a basic object of superconformal algebras. We prove that every local derivation on the super Virasoro algebra is a derivation. As an application, we determine all local derivations on the $N=1$ super-BMS$_3$ algebra, which admits a nontrivial local derivation.

Local derivations on the super Viraosor algebra and the $N=1$ super-BMS$_3$ algebra

2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper, we prove that every 2-local derivation on the conformal Galilei algebra is a derivation.

2-local derivation on the conformal Galilei algebra

2-Local derivations on the Schrödinger-Virasoro algebra

The present paper is devoted to studying 2-local superderivations on the super Virasoro algebra and the super W(2,2) algebra. It is proved that all 2-local superderivations on the super Virasoro al...

2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra

The present paper is devoted to study 2-local superderivations on the super Virasoro algebra and the super W(2,2) algebra. We prove that all 2-local superderivations on the super Virasoro algebra as well as the super W(2,2) algebra are (global) superderivations.

Shoulan Gao

Papers

2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra

2-Local derivations on the Super Virasoro algebra and Super W(2,2) algebra