# Ying Xu (University of Sydney)

## Drinfeld realisation and highest weight representations of $$U_q(\mathfrak{osp}(1|2n)^{(1)})$$

The Drinfeld realisation of a quantum affine algebra is a quantum analogue of the loop algebra realisation of an affine Lie algebra. In this talk, we will first develop the Drinfeld realisations of quantum affine superalgebras $$U_q(\mathfrak{osp}(1|2n)^{(1)})$$. This makes essential use of the notation of "Quantum correspondences". Then, by using the Drinfeld realisations, we will discuss the vertex operators for the level 1 irreducible integrable highest weight representations and the finite dimensional irreducible representations of $$U_q(\mathfrak{osp}(1|2n)^{(1)})$$. This is joint work with Ruibin Zhang.