# Lie triple derivation algebra of Virasoro-like algebra

Document Type : Research Paper

Authors

1 Hunan University, China

2 South China University of Technology, China

Abstract

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

Keywords

### History

• Receive Date: 30 January 2010
• Revise Date: 16 August 2010
• Accept Date: 16 August 2010