Ying, Cenlei; Xia, Limeng; Zhang, Honglian Vertex representation of quantum \(N\)-toroidal algebra for type \(F_4\). (English) Zbl 07271658 Commun. Algebra 48, No. 9, 3780-3799 (2020). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{C. Ying} et al., Commun. Algebra 48, No. 9, 3780--3799 (2020; Zbl 07271658) Full Text: DOI
Xia, Limeng Finite dimensional modules over quantum toroidal algebras. (English) Zbl 07217606 Front. Math. China 15, No. 3, 593-600 (2020). MSC: 17B37 PDF BibTeX XML Cite \textit{L. Xia}, Front. Math. China 15, No. 3, 593--600 (2020; Zbl 07217606) Full Text: DOI
Tsymbaliuk, Alexander Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\). (English) Zbl 07042782 Algebr. Represent. Theory 22, No. 1, 177-209 (2019). MSC: 20G42 17B37 PDF BibTeX XML Cite \textit{A. Tsymbaliuk}, Algebr. Represent. Theory 22, No. 1, 177--209 (2019; Zbl 07042782) Full Text: DOI
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. Branching rules for quantum toroidal \(\mathfrak{gl}_n\). (English) Zbl 1402.17031 Adv. Math. 300, 229-274 (2016). MSC: 17B67 17B37 17B69 PDF BibTeX XML Cite \textit{B. Feigin} et al., Adv. Math. 300, 229--274 (2016; Zbl 1402.17031) Full Text: DOI
Jing, Naihuan; Liu, Rongjia Twisted quantum toroidal algebras \(T_q^{-}(\mathfrak g)\). (English) Zbl 1359.17028 Lett. Math. Phys. 104, No. 9, 1137-1145 (2014). MSC: 17B37 17B67 17B69 PDF BibTeX XML Cite \textit{N. Jing} and \textit{R. Liu}, Lett. Math. Phys. 104, No. 9, 1137--1145 (2014; Zbl 1359.17028) Full Text: DOI arXiv
Hernandez, David The algebra \(U_q(\widehat{sl}_\infty)\) and applications. (English) Zbl 1278.17017 J. Algebra 329, No. 1, 147-162 (2011). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{D. Hernandez}, J. Algebra 329, No. 1, 147--162 (2011; Zbl 1278.17017) Full Text: DOI
Miki, Kei A \((q,\gamma)\) analog of the \(W_{1+\infty}\) algebra. (English) Zbl 1153.81405 J. Math. Phys. 48, No. 12, 123520, 35 p. (2007). MSC: 17B37 17B68 33D80 81R10 81R50 PDF BibTeX XML Cite \textit{K. Miki}, J. Math. Phys. 48, No. 12, 123520, 35 p. (2007; Zbl 1153.81405) Full Text: DOI
Hernandez, David On minimal affinizations of representations of quantum groups. (English) Zbl 1141.17011 Commun. Math. Phys. 276, No. 1, 221-259 (2007). Reviewer: Tomasz Brzeziński (Swansea) MSC: 17B37 17B10 46L87 PDF BibTeX XML Cite \textit{D. Hernandez}, Commun. Math. Phys. 276, No. 1, 221--259 (2007; Zbl 1141.17011) Full Text: DOI arXiv
Miki, Kei Some quotient algebras arising from the quantum toroidal algebra \(U_{q}(sl_{n+1}(\mathcal{C}_{\gamma}))\) \((n\geq 2)\). (English) Zbl 1136.17305 Osaka J. Math. 43, No. 4, 895-922 (2006). MSC: 17B37 17B67 33D52 PDF BibTeX XML Cite \textit{K. Miki}, Osaka J. Math. 43, No. 4, 895--922 (2006; Zbl 1136.17305) Full Text: Euclid
Hernandez, David Monomials of \(q\) and \(q,t\)-characters for non simply-laced quantum affinizations. (English) Zbl 1098.17010 Math. Z. 250, No. 2, 443-473 (2005). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{D. Hernandez}, Math. Z. 250, No. 2, 443--473 (2005; Zbl 1098.17010) Full Text: DOI arXiv