Journal of Lie Theory 35 (2025), No. 3, 667--680
Copyright Heldermann Verlag 2025
Local Properties of the Schrödinger Algebra in (n+1)-Dimensional Space-Time
Xiaomin Tang
School of Mathematical Science, Heilongjiang University, Harbin, P.R.China
x.m.tang@163.com
Peng Wang
School of Mathematical Science, Heilongjiang University, Harbin, P.R.China
2996630677@qq.com
We investigate local properties of the Schrödinger algebra in (n+1)-dimensional space-time of Schrödinger Lie groups. Specifically, for any positive integer n, it initiates the study of 2-local derivations of this Lie algebra, denoted by Sn. The main result establishes that every 2-local derivation on Sn is actually a derivation.
Keywords: Schroedinger algebra, derivation, 2-local derivation.
MSC: 17A32, 17B30, 17B10.
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