Biderivations of W-algebra $W(2,2)$ and Virasoro algebra without skewsymmetric condition and their applications

Abstract

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 $Vir$.

10 pages. arXiv admin note: text overlap with arXiv:1610.03765

References in corpus (1)

• Biderivations of finite dimensional complex simple Lie algebras