Research On Some Problems Of Characteristic Zero Lie Superalgebra Structure Theory

As an algebraic branch of Lie algebra,Lie superalgebra has entered people's field of vision and gradually developed and perfected.The research methods of some questions Lie superalgebra are often studied by methods of Lie algebra.This paper is divided into two parts.In the first part,we mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras SV.Furthermore,we prove that the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras SV are inner super-biderivations.In the second part,we mainly study the linear super-commuting map of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras SV,and characterize the form of the linear supercommuting maps.