The Superbiconductors Of Super W-algebras And Their Applications

Lie superalgebra is an algebraic branch which developed on the basis of Lie algebra.The research methods of some questions Lie superalgebra are often studied by methods of Lie algebra.In this paper,we study the super-biderivations of the super W-algebra W(2,2)by using the method of the biderivations of the W-algebra W(2,2).In this paper,we research the super-biderivations of the super W-algebra W(2,2).Using some conclusions of bilinear functions in linear algebra,the defini-tions of Lie superalgebras and the super-derivations of the super W-algebra calculate the super biderivations of the super W-algebra W(2,2).Thus,the super bideriva-tions of the super W-algebra W(2,2)are non-inner.At last,according to the super biderivations,it describes the form of linear super-commuting maps.