Algebra Seminar: Xu -- Drinfeld realisation and highest weight representations of quantum affine osp(1|2n)

Ying Xu (University of Sydney) 

Friday 8 September, 12-1pm, Place: Carslaw 375 

Title: Drinfeld realisation and highest weight representations of U_q(osp(1|2n)^{(1)}) 

Abstract: 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 Uq(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 Uq(osp(1|2n)^{(1)}).  This is joint work with Ruibin
Zhang.