近群融合代数的不可约表示

Irreducible representations for the near group fusion algebra

设G是一个有限群,K(G,n)为群G的近群融合环,其中n是给定的自然数.本文计算了近群融合环K(G,n)的Casimir数,并明确刻画了复数域C上近群融合代数∧=K(G,n)■zC上的所有不可约表示.

Let G be a finite group,K(G,n)be the near group fusion ring of G and n be a given natural number.In this article,the Casimir number of K(G,n)is given,and all irreducible representations on the near group fusion algebras ∧=K(G,n)■zC over complex fields C are explicitly described.