Local Superconductors Of Lie Superalgebras

The local superderivations of Lie superalgebra have been a hot research direc-tion in recent years.In this paper,we mainly study the excepted Lie superalgebra p(n)over complex field and the local superderivation of model linear Lie superal-gebra.Firstly,we study the local superderivations of p(n).When n≥3,every local superderivations of p(n)is superderivation;Secondly,by using the definition of superderivations and local superderivation and the order structure of model linear Lie superalgebra,the concrete forms of superderivation subalgebra and local su-perderivation subalgebra of model linear Lie superalgebra are obtained through the calculation of key elements.In this paper,some external superderivation of model linear Lie superalgebra are given,and the given external superderivation are all their external superderivations,it is proved that the local superderivations of the linear Lie superalgebra are all superderivations.