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.
1
School of Mathematical Science, Heilongjiang University, Harbin, P.R.China
Xiaomin Tang; Peng Wang. Local Properties of the Schrödinger Algebra in (n+1)-Dimensional Space-Time. Journal of Lie Theory, Tome 35 (2025) no. 3, pp. 667-680. http://geodesic.mathdoc.fr/item/JOLT_2025_35_3_a11/
@article{JOLT_2025_35_3_a11,
author = {Xiaomin Tang and Peng Wang},
title = {Local {Properties} of the {Schr\"odinger} {Algebra} in {(n+1)-Dimensional} {Space-Time}},
journal = {Journal of Lie Theory},
pages = {667--680},
year = {2025},
volume = {35},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2025_35_3_a11/}
}
TY - JOUR
AU - Xiaomin Tang
AU - Peng Wang
TI - Local Properties of the Schrödinger Algebra in (n+1)-Dimensional Space-Time
JO - Journal of Lie Theory
PY - 2025
SP - 667
EP - 680
VL - 35
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2025_35_3_a11/
ID - JOLT_2025_35_3_a11
ER -
%0 Journal Article
%A Xiaomin Tang
%A Peng Wang
%T Local Properties of the Schrödinger Algebra in (n+1)-Dimensional Space-Time
%J Journal of Lie Theory
%D 2025
%P 667-680
%V 35
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2025_35_3_a11/
%F JOLT_2025_35_3_a11
