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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.