Classification of irreducible modules for Bershadsky-Polyakov algebra at certain levels

Drazen Adamovic, Ana Kontrec

We study the representation theory of the Bershadsky-Polyakov algebra ${\mathcal{W}}_k={\mathcal{W}}_k(s{l}_3,f_{\theta })$. In particular, Zhu algebra of ${\mathcal{W}}_k$ is isomorphic to a cert…