Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\)
type: Item
instance of: scholarly article
title: Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\)
zbMATH Open document ID: 1473.17044
published in: Algebras and Representation Theory
publication date: 2019-03-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1603.08915
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 20G42
zbMATH DE Number: 7042782
zbMATH Keywords: quantum toroidal algebras
zbMATH Keywords: shuffle algebras
zbMATH Keywords: L-operators
zbMATH Keywords: Fock module
zbMATH Keywords: vertex module
author: Aleksander Tsymbaliuk
MaRDI profile type: Publication
OpenAlex ID: W3122396113
arXiv ID: 1603.08915
cites work: Braid group action and quantum affine algebras
cites work: Realization of level one representations of \(U_q(\hat{\mathfrak g})\) at a root of unity
cites work: From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: injectivity
cites work: Q3819193
cites work: Q3819194
cites work: Generalization of Drinfeld quantum affine algebras
cites work: Vertex representations of quantum affine algebras
cites work: Representations of quantum toroidal \(\mathfrak{gl}_n\)
cites work: Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz
cites work: Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras
cites work: On quantum shuffle and quantum affine algebras
cites work: Representations of quantum affinizations and fusion product
cites work: Q4862686
cites work: A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
cites work: Q4241969
cites work: Q4348661
cites work: Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
cites work: Representations of quantum toroidal algebra \(U_q(\text{sl}_{n+1,\text{tor}}) (n\geq 2)\)
cites work: Quantum toroidal algebras and their vertex representations
cites work: The affine Yangian of \(\mathfrak{gl}_1\) revisited
cites work: Schur duality in the toroidal setting
DOI: 10.1007/S10468-017-9761-5
description: scientific article