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arXiv · 1603.08915

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

Alexander Tsymbaliuk
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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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BibTeXRIS

Alexander Tsymbaliuk. 2016-03-29. Several realizations of Fock modules for quantum toroidal algebras of sl(n). https://doi.org/10.1007/s10468-017-9761-5

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