Local Superderivations And Local Automorphisms Of Low Dimensional Nilpotent Lie Superalgebras

In this paper,the notion of superderivations,automorphisms,local superderivations and local automorphisms are reviewed,respectively.Applying matrix theory and classification of low dimensional nilpotent Lie superalgebra,we establish a calculation method for local superderivations and local automorphisms.Then we determine all local superderivations and local automorphisms of three dimensional nilpotent Lie superalgebra of over C.Finally,we determine some the local superderivations of four dimensional nilpotent Lie superalgebra of over C.