Journal of Lie Theory

no. 3
Local Properties of the Schrödinger Algebra in (n+1)-Dimensional Space-Time
Journal of Lie Theory, Volume 35 (2025) no. 3, pp. 667-680
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.
DOI: 10.5802/jolt.1403
Classification: 17A32, 17B30, 17B10
Keywords: Schroedinger algebra, derivation, 2-local derivation 
@article{JOLT_2025_35_3_a11,
     author = {X. Tang and P. 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},
     doi = {10.5802/jolt.1403},
     zbl = {08103108},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1403/}
}
TY  - JOUR
AU  - X. Tang
AU  - P. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1403/
DO  - 10.5802/jolt.1403
ID  - JOLT_2025_35_3_a11
ER  - 
%0 Journal Article
%A X. Tang
%A P. 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 https://jolt.centre-mersenne.org/articles/10.5802/jolt.1403/
%R 10.5802/jolt.1403
%F JOLT_2025_35_3_a11
X. Tang; P. Wang. Local Properties of the Schrödinger Algebra in (n+1)-Dimensional Space-Time. Journal of Lie Theory, Volume 35 (2025) no. 3, pp. 667-680. doi: 10.5802/jolt.1403

Cited by Sources: