F_4型仿射顶点表示的不可约分解

Irreducible decomposition of affne vertex representations of type F_4

研究了F4型仿射李代数的顶点表示,通过构造最高权向量的生成算子,给出了该顶点表示的最高权向量空间的一组基,从而给出了该顶点表示的不可约模分解.

In this paper,we study the affne vertex representations of type F4.Through the construction of generating operators of highest weight vectors,we give a basis of the highest weight vector space,and then an irreducible decomposition of this representation.