两类N=2超共形代数上的超双导子和超交换映射

Super-biderivations and Super-commuting Maps on the Two N=2 Superconformal Algebras

确定广义Topological N=2超共形代数和Twisted N=2超共形代数上的超斜对称双导子.证明在这两类超代数上的所有超双导子都是超双内导子.应用此结论,得到在广义Topological N=2超共形代数上的线性超交换映射是非标准的,而Twisted N=2超共形代数上的线性超交换映射是标准的.

In this paper,we first determine all the super-skewsymmetric super-biderivations of the topological N=2 superconformal algebra and the twisted N=2 superconformal algebra.We prove that all super-biderivations of the two superconformal algebra are inner super-biderivations.As an application,we show that every linear super-commuting maps on the topological N=2 superconformal algebra are non-standard.And that of the twisted N=2 superconformal algebra are standard.