%0 Journal Article %T The derivations, central extensions and automorphism group of the Lie algebra $W$ %A Shoulan Gao %A Cuipo Jiang %A Yufeng Pei %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0801.3911v1