Equivariant vertex coalgebras, $C_2$-coalgebras and duality for diagonalisable group schemes

Antoine Caradot, Zongzhu Lin

In this paper, we define vertex algebras and vertex coalgebras in the category of rational $G_{\Gamma }$-modules, where $G_{\Gamma }$ is the group scheme defined by the group algebra $\mathsf{k}\Gamma$…