Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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

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