University of Sydney Algebra Seminar

Slaven Kožić (University of Sydney)

Friday 4 Sep, 12-1pm, Place: Carslaw 375

Principal subspaces for quantum affine algebra $U_q({\widehat{\mathfrak{sl}}}_{n+1})$

In this talk, we consider principal subspaces of the integrable highest weight $U_q({\widehat{\mathfrak{sl}}}_{n+1})$-modules. We construct combinatorial bases of the principal subspaces, consisting of quasi-particle monomials acting on the highest weight vector, and discuss, for $n=1$, related constructions in terms of vertex operator monomials.