Biderivations of W-algebra $W(2,2)$ and Virasoro algebra without   skewsymmetric condition and their applications
  In this paper, we characterize the biderivations of W-algebra $W(2,2)$ and Virasoro algebra $Vir$ without skewsymmetric condition. We get two classes of non-inner biderivations. As applications, we also get the forms of linear commuting maps on W-algebra $W(2,2)$ and Virasoro algebra $Vir$. 
Xiaomin Tang
math.RA