The derivations, central extensions and automorphism group of the Lie   algebra $W$
  In this paper, we study the derivations, central extensions and the automorphisms of the infinite-dimensional Lie algebra W which appeared in [8] and Dong-Zhang's recent work [22] on the classification of some simple vertex operator algebras. 
Shoulan Gao, Cuipo Jiang and Yufeng Pei