Vertex representations via finite groups and the McKay correspondence
Vertex representations via finite groups and the McKay correspondence
Given a finite group $\Gamma$ and a virtual character $\wt$ on it, we construct a Fock space and associated vertex operators in terms of representation ring of wreath products $\Gamma\sim S_n$. We recover the character tables of wreath products $\Gamma\sim S_n$ by vertex operator calculus. When $\Gamma$ is a finite …