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Mathematics, Representation Theory, math.RT
Abstract:
In this paper, we relate the well-known
Fock representations of $\"U_{q,d}(\mathfrak{sl}_n)$ to the vertex, shuffle, and $L$-operator’ representations of $\"U_{q,d}(\mathfrak {sl}_n)$.
These identifications generalize those for the quantum toroidal algebra of $\mathfrak{gl}_1$, which were recently established in Feigin et al. (J. Phys. A 48(24), 244001, 2015).
