We study 2-local derivations on the centerless Ovsienko-Roger algebra $\mathfrak{L_{\lambda}}$, which is the semi-direct product of the Witt algebra and its tensor density module. We prove that every 2-local derivation on $\mathfrak{L_{\lambda}}$ is a derivation for $\lambda\in \mathbb{C}\setminus\{0,1,2\}$. We divide into two cases to consider 2-local derivations on $\mathfrak{L_{\lambda}}$ depending on whether the parameter $\lambda$ is an integer, that is for the case $\lambda\in \mathbb{Z}\setminus\{0,1,2\}$ and the case $\lambda\notin \mathbb{Z}$.
1
School of Mathematics and Statistics, Northeast Normal University, Changchun, China
Yan Liu; Yao Ma; Liangyun Chen. 2-Local Derivations on the Centerless Ovsienko-Roger Algebra. Journal of Lie Theory, Tome 34 (2024) no. 3, pp. 595-610. http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a5/
@article{JOLT_2024_34_3_a5,
author = {Yan Liu and Yao Ma and Liangyun Chen},
title = {2-Local {Derivations} on the {Centerless} {Ovsienko-Roger} {Algebra}},
journal = {Journal of Lie Theory},
pages = {595--610},
year = {2024},
volume = {34},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a5/}
}
TY - JOUR
AU - Yan Liu
AU - Yao Ma
AU - Liangyun Chen
TI - 2-Local Derivations on the Centerless Ovsienko-Roger Algebra
JO - Journal of Lie Theory
PY - 2024
SP - 595
EP - 610
VL - 34
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a5/
ID - JOLT_2024_34_3_a5
ER -
%0 Journal Article
%A Yan Liu
%A Yao Ma
%A Liangyun Chen
%T 2-Local Derivations on the Centerless Ovsienko-Roger Algebra
%J Journal of Lie Theory
%D 2024
%P 595-610
%V 34
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a5/
%F JOLT_2024_34_3_a5
