Lie triple derivation algebra of Virasoro-like algebra

Abstract

Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ its<br />derived algebra, respectively.<br /> We investigate the structure of the Lie triple<br />derivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We prove<br />that they are both isomorphic to $mathfrak{L}$, which provides two<br />examples of invariance under triple derivation.