Sugawara, Masaru Quantum dilogarithm identities arising from the product formula for the universal R-matrix of quantum affine algebras. (English) Zbl 07793814 Publ. Res. Inst. Math. Sci. 59, No. 4, 769-819 (2023). MSC: 17B37 17B81 PDFBibTeX XMLCite \textit{M. Sugawara}, Publ. Res. Inst. Math. Sci. 59, No. 4, 769--819 (2023; Zbl 07793814) Full Text: DOI
Kodera, Ryosuke Affine Yangian action on the Fock space. (English) Zbl 1448.17012 Publ. Res. Inst. Math. Sci. 55, No. 1, 189-234 (2019). MSC: 17B10 17B37 17B67 PDFBibTeX XMLCite \textit{R. Kodera}, Publ. Res. Inst. Math. Sci. 55, No. 1, 189--234 (2019; Zbl 1448.17012) Full Text: DOI arXiv
Angiono, Iván A quantum version of the algebra of distributions of \(\mathrm{SL}_2\). (English) Zbl 1390.14140 Publ. Res. Inst. Math. Sci. 54, No. 1, 141-161 (2018). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 14L17 17B37 16T05 20G15 PDFBibTeX XMLCite \textit{I. Angiono}, Publ. Res. Inst. Math. Sci. 54, No. 1, 141--161 (2018; Zbl 1390.14140) Full Text: DOI arXiv
Oh, Se-jin The denominators of normalized \(R\)-matrices of types \(A_{2n-1}^{(2)}\), \(A_{2n}^{(2)}\), \(B_{n}^{(1)}\) and \(D_{n+1}^{(2)}\). (English) Zbl 1337.81080 Publ. Res. Inst. Math. Sci. 51, No. 4, 709-744 (2015). Reviewer: Ming Ding (Tianjin) MSC: 81R50 16T25 17B37 PDFBibTeX XMLCite \textit{S.-j. Oh}, Publ. Res. Inst. Math. Sci. 51, No. 4, 709--744 (2015; Zbl 1337.81080) Full Text: DOI arXiv
Damiani, Ilaria From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: injectivity. (English) Zbl 1394.17036 Publ. Res. Inst. Math. Sci. 51, No. 1, 131-171 (2015). MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{I. Damiani}, Publ. Res. Inst. Math. Sci. 51, No. 1, 131--171 (2015; Zbl 1394.17036) Full Text: DOI arXiv
Damiani, Ilaria Drinfeld realization of affine quantum algebras: the relations. (English) Zbl 1297.17009 Publ. Res. Inst. Math. Sci. 48, No. 3, 661-733 (2012). Reviewer: Gastón Andrés García (Córdoba) MSC: 17B37 PDFBibTeX XMLCite \textit{I. Damiani}, Publ. Res. Inst. Math. Sci. 48, No. 3, 661--733 (2012; Zbl 1297.17009) Full Text: DOI arXiv
Kodera, Ryosuke; Naoi, Katsuyuki Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties. (English) Zbl 1308.17018 Publ. Res. Inst. Math. Sci. 48, No. 3, 477-500 (2012). Reviewer: Euiyong Park (Seoul) MSC: 17B37 17B65 17B67 PDFBibTeX XMLCite \textit{R. Kodera} and \textit{K. Naoi}, Publ. Res. Inst. Math. Sci. 48, No. 3, 477--500 (2012; Zbl 1308.17018) Full Text: DOI arXiv
Lin, Zongzhu; Xiao, Jie; Zhang, Guanglian Representations of tame quivers and affine canonical bases. (English) Zbl 1302.17024 Publ. Res. Inst. Math. Sci. 47, No. 4, 825-885 (2011). Reviewer: Justyna Kosakowska (Toruń) MSC: 17B37 16G70 PDFBibTeX XMLCite \textit{Z. Lin} et al., Publ. Res. Inst. Math. Sci. 47, No. 4, 825--885 (2011; Zbl 1302.17024) Full Text: DOI arXiv
Enomoto, Naoya; Kashiwara, Masaki Symmetric crystals for \(\mathfrak{gl}_{\infty}\). (English) Zbl 1168.17008 Publ. Res. Inst. Math. Sci. 44, No. 3, 837-891 (2008). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 20C08 PDFBibTeX XMLCite \textit{N. Enomoto} and \textit{M. Kashiwara}, Publ. Res. Inst. Math. Sci. 44, No. 3, 837--891 (2008; Zbl 1168.17008) Full Text: DOI arXiv
Okado, Masato Existence of crystal bases for Kirillov-Reshetikhin modules of type \(D\). (English) Zbl 1149.17009 Publ. Res. Inst. Math. Sci. 43, No. 4, 977-1004 (2007). Reviewer: Jan Grabowski (Oxford) MSC: 17B37 PDFBibTeX XMLCite \textit{M. Okado}, Publ. Res. Inst. Math. Sci. 43, No. 4, 977--1004 (2007; Zbl 1149.17009) Full Text: DOI arXiv
Akasaka, Tatsuya An integral PBW basis of the quantum affine algebra of type \(A_2^{(2)}\). (English) Zbl 1038.17005 Publ. Res. Inst. Math. Sci. 38, No. 4, 803-894 (2002). Reviewer: Robert Marsh (Leicester) MSC: 17B37 20G05 81R50 PDFBibTeX XMLCite \textit{T. Akasaka}, Publ. Res. Inst. Math. Sci. 38, No. 4, 803--894 (2002; Zbl 1038.17005) Full Text: DOI arXiv
Sagaki, Daisuke Crystal bases, path models, and a twining character formula for Demazure modules. (English) Zbl 1020.17017 Publ. Res. Inst. Math. Sci. 38, No. 2, 245-264 (2002). Reviewer: Robert Marsh (Leicester) MSC: 17B67 17B37 20G42 PDFBibTeX XMLCite \textit{D. Sagaki}, Publ. Res. Inst. Math. Sci. 38, No. 2, 245--264 (2002; Zbl 1020.17017) Full Text: DOI arXiv
Takemura, Kouichi; Uglov, Denis Representations of the quantum toroidal algebra on highest weight modules of the quantum affine algebra of type \({\mathfrak {gl}}_N\). (English) Zbl 0974.17019 Publ. Res. Inst. Math. Sci. 35, No. 3, 407-450 (1999). Reviewer: A.Klimyk (Kyïv) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{K. Takemura} and \textit{D. Uglov}, Publ. Res. Inst. Math. Sci. 35, No. 3, 407--450 (1999; Zbl 0974.17019) Full Text: DOI arXiv
Yamane, Hiroyuki On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras. (English) Zbl 0987.17007 Publ. Res. Inst. Math. Sci. 35, No. 3, 321-390 (1999). Reviewer: Vyacheslav A.Artamonov (Moskva) MSC: 17B37 17B67 17B65 PDFBibTeX XMLCite \textit{H. Yamane}, Publ. Res. Inst. Math. Sci. 35, No. 3, 321--390 (1999; Zbl 0987.17007) Full Text: DOI
Nakayashiki, Atsushi Integral and theta formulae for solutions of \(sl_N\) Knizhnik-Zamolodchikov equation at level zero. (English) Zbl 0959.32028 Publ. Res. Inst. Math. Sci. 34, No. 5, 439-486 (1998). MSC: 32G34 81T10 33C80 17B81 17B67 PDFBibTeX XMLCite \textit{A. Nakayashiki}, Publ. Res. Inst. Math. Sci. 34, No. 5, 439--486 (1998; Zbl 0959.32028) Full Text: DOI arXiv
Akasaka, Tatsuya; Kashiwara, Masaki Finite-dimensional representations of quantum affine algebras. (English) Zbl 0915.17011 Publ. Res. Inst. Math. Sci. 33, No. 5, 839-867 (1997). Reviewer: A.N.Pressley (London) MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{T. Akasaka} and \textit{M. Kashiwara}, Publ. Res. Inst. Math. Sci. 33, No. 5, 839--867 (1997; Zbl 0915.17011) Full Text: DOI arXiv
Frønsdal, Christian Generalization and exact deformations of quantum groups. (English) Zbl 0899.16021 Publ. Res. Inst. Math. Sci. 33, No. 1, 91-149 (1997). Reviewer: A.A.Bogush (Minsk) MSC: 16W30 17B37 17B67 81R50 16S80 PDFBibTeX XMLCite \textit{C. Frønsdal}, Publ. Res. Inst. Math. Sci. 33, No. 1, 91--149 (1997; Zbl 0899.16021) Full Text: DOI
Ding, Jintai; Miwa, Tetsuji Quantum current operators. I: Zeros and poles of quantum current operators and the condition of quantum integrability. (English) Zbl 0889.17007 Publ. Res. Inst. Math. Sci. 33, No. 2, 277-284 (1997). Reviewer: M.Primc (Zagreb) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{J. Ding} and \textit{T. Miwa}, Publ. Res. Inst. Math. Sci. 33, No. 2, 277--284 (1997; Zbl 0889.17007) Full Text: DOI
Suzuki, Takeshi Differential equations associated to the \(SU(2)\) WZNW model on elliptic curves. (English) Zbl 0876.17024 Publ. Res. Inst. Math. Sci. 32, No. 2, 207-233 (1996). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B67 81T40 17B69 17B66 14H10 14H52 PDFBibTeX XMLCite \textit{T. Suzuki}, Publ. Res. Inst. Math. Sci. 32, No. 2, 207--233 (1996; Zbl 0876.17024) Full Text: DOI arXiv
Chari, Vyjayanthi Minimal affinizations of representations of quantum groups: The rank 2 case. (English) Zbl 0855.17010 Publ. Res. Inst. Math. Sci. 31, No. 5, 873-911 (1995). Reviewer: H.Boseck (Greifswald) MSC: 17B37 17B67 16W30 81R50 PDFBibTeX XMLCite \textit{V. Chari}, Publ. Res. Inst. Math. Sci. 31, No. 5, 873--911 (1995; Zbl 0855.17010) Full Text: DOI arXiv