Journal of Lie Theory

no. 3
2-Local Derivations on the Centerless Ovsienko-Roger Algebra
Yan Liu1; Yao Ma1; Liangyun Chen1
1School of Mathematics and Statistics, Northeast Normal University, Changchun, China
Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 595-610
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 $\lambda\notin \mathbb{Z}$.
DOI: 10.5802/jolt.1351
Classification: 17B05, 17B40, 17B65
Keywords: Centerless Ovsienko-Roger algebra, derivation, 2-local derivation

Yan Liu  1 ; Yao Ma  1 ; Liangyun Chen  1

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, Volume 34 (2024) no. 3, pp. 595-610. doi: 10.5802/jolt.1351
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     title = {2-Local {Derivations} on the {Centerless} {Ovsienko-Roger} {Algebra}},
     journal = {Journal of Lie Theory},
     pages = {595--610},
     year = {2024},
     volume = {34},
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