Abstract
The present paper is devoted to study 2-local derivations on the Schrödinger algebra which is a finite-dimensional, non-semisimple and non-solvable Lie algebra. We first give a new example of 2-local derivation on the Heisenberg subalgebra of Schrödinger algebra which is not a derivation. Then we prove that every 2-local derivation on the Schrödinger algebra is a derivation.
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Acknowledgements
We would like to thank the referees for their invaluable omments and suggestions.
Funding
This work is supported in part by NNSF of China (No. 11771069), NSF of Heilongjiang Province (No. LH2020A020), the Found for the graduate innovation research of Heilongjiang University (No. YJSCX2021-211HLJU), and the fund of Heilongjiang Provincial Laboratory of the Theory and Computation of Complex Systems.
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Communicated by Ali Taherifar.
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Wu, Q., Tang, X. 2-Local Derivations on the Schrödinger Algebra. Bull. Iran. Math. Soc. 48, 3393–3404 (2022). https://doi.org/10.1007/s41980-022-00700-4
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DOI: https://doi.org/10.1007/s41980-022-00700-4