
Journal of Lie Theory 34 (2024), No. 3, 595610 Copyright Heldermann Verlag 2024 2Local Derivations on the Centerless OvsienkoRoger Algebra Yan Liu School of Mathematics and Statistics, Northeast Normal University, Changchun, China liuy726@nenu.edu.cn Yao Ma School of Mathematics and Statistics, Northeast Normal University, Changchun, China may703@nenu.edu.cn Liangyun Chen School of Mathematics and Statistics, Northeast Normal University, Changchun, China chenly640@nenu.edu.cn [Abstractpdf] We study 2local derivations on the centerless OvsienkoRoger algebra $\mathfrak{L_{\lambda}}$, which is the semidirect product of the Witt algebra and its tensor density module. We prove that every 2local derivation on $\mathfrak{L_{\lambda}}$ is a derivation for $\lambda\in \mathbb{C}\setminus\{0,1,2\}$. We divide into two cases to consider 2local 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 $\lambda\notin \mathbb{Z}$. Keywords: Centerless OvsienkoRoger algebra, derivation, 2local derivation. MSC: 17B05, 17B40, 17B65. [ Fulltextpdf (147 KB)] for subscribers only. 