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

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.

Keywords:

• Derivation
• 2-local derivation
• Schrödinger algebra

2020 Mathematics Subject Classification:

• 17A32
• 17B30
• 17B10

Acknowledgments

We would like to express our sincere thanks to the referee for careful reading and valuable comments toward the improvement of this article.

Additional information

Funding

This work is supported in part by NNSF of China (No. 11771069), NSF of Heilongjiang Province (No. LH2020A020) and the fund of Heilongjiang Provincial Laboratory of the Theory and Computation of Complex Systems.