Ana Kontrec

collaborators

2 papers

math.QA2020

Bershadsky-Polyakov vertex algebras at positive integer levels and duality

Drazen Adamovic, Ana Kontrec

We study the simple Bershadsky-Polyakov algebra $W_{k} = W_{k} (s l_{3}, f_{θ})$ at positive integer levels and classify their irreducible modules. In this way we confirm t…

math.QA2019

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 $W_{k} = W_{k} (s l_{3}, f_{θ})$ . In particular, Zhu algebra of $W_{k}$ is isomorphic to a cert…