The minimal models of CFT possess a few algebraic structures. Besides the Virasoro Algebra which is an explicit symmetry of these models they have also Quantum Group structure and Fermi-Bose duality. We discuss the relationship between these things.
BELAVIN, A. (2000) "On Fermi - Bose symmetry in Conformal Field Theory," Turkish Journal of Physics: Vol. 24: No. 3, Article 8. Available at: https://journals.tubitak.gov.tr/physics/vol24/iss3/8