Several realizations of Fock modules for quantum toroidal algebras of sl(n)

Published 29 Mar 2016 in math.RT | (1603.08915v2)

Abstract: In this paper, we relate the well-known Fock representations of the quantum toroidal algebra of sl(n) to the vertex, shuffle, and L-operator representations of the same algebra. These identifications generalize those for the quantum toroidal algebra of gl(1), which were recently established by Feigin-Jimbo-Miwa-Mukhin.

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Authors (1)

Alexander Tsymbaliuk

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