Several realizations of Fock modules for quantum toroidal algebras of sl(n)
Representation Theory
2019-02-12 v2
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.
Keywords
Cite
@article{arxiv.1603.08915,
title = {Several realizations of Fock modules for quantum toroidal algebras of sl(n)},
author = {Alexander Tsymbaliuk},
journal= {arXiv preprint arXiv:1603.08915},
year = {2019}
}
Comments
v1: 24 pages. v2: Final version, 27 pages, references updated, several proofs expanded, a few mistakes corrected. To appear in Algebras and Representation Theory