一类形变超W-代数上的超双导子及超交换映射

Super-Biderivations and Super-Commuting Maps on a Class of Deformative Super W-Algebras

设■是一类形变超W-代数W■(2, 2).首先确定■上的超斜对称双导子,证明了非内导子的存在性.进一步得到■上的线性超交换映射是非标准的.

In this paper, we first determine all the super-skewsymmetric super-biderivations of a class of deformative super W-algebras Wt^s(2, 2). We have proved that there exist non-inner super-biderivations of the algebras. Based on the result of super-biderivations, the result shows that every linear super-commuting maps on the algebras are non-standard.