A Vertex Algebra Structure on the Representation V_Q of Untwisted Affine Lie Algebra Sl(n,C)

The vertex operator structure on the representation VQ of untwisted affine algebra associated with Sl(n,C) is studied by using the representation theory of Lie algebra.Moreover,it is proved that VQ is a vertex operator algebra according to the calculus methods of formal distributions,and then the conformal vector on the vertex algebra VQ is given.