Ip, Ivan Chi-Ho; Man, Ryuichi Positive representations with zero Casimirs. (English) Zbl 07824919 Commun. Math. Phys. 405, No. 4, Paper No. 91, 60 p. (2024). MSC: 17Bxx 46Lxx 81Rxx PDFBibTeX XMLCite \textit{I. C. H. Ip} and \textit{R. Man}, Commun. Math. Phys. 405, No. 4, Paper No. 91, 60 p. (2024; Zbl 07824919) Full Text: DOI arXiv OA License
Fima, Pierre; Troupel, Arthur Operator algebras of free wreath products. (English) Zbl 07823121 Adv. Math. 441, Article ID 109546, 53 p. (2024). MSC: 46L67 46L10 46L80 PDFBibTeX XMLCite \textit{P. Fima} and \textit{A. Troupel}, Adv. Math. 441, Article ID 109546, 53 p. (2024; Zbl 07823121) Full Text: DOI arXiv
Mudrov, Andrey Shapovalov elements of classical and quantum groups. (English) Zbl 07821456 J. Pure Appl. Algebra 228, No. 7, Article ID 107634, 14 p. (2024). MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{A. Mudrov}, J. Pure Appl. Algebra 228, No. 7, Article ID 107634, 14 p. (2024; Zbl 07821456) Full Text: DOI arXiv
Hu, Hong Mei; Hu, Nai Hong \(R\)-matrix for the 8-dimensional spin representation of \(U_q (\mathfrak{so}_7)\). (English) Zbl 07806020 Acta Math. Sin., Engl. Ser. 40, No. 2, 485-497 (2024). MSC: 17B37 16T25 81R50 PDFBibTeX XMLCite \textit{H. M. Hu} and \textit{N. H. Hu}, Acta Math. Sin., Engl. Ser. 40, No. 2, 485--497 (2024; Zbl 07806020) Full Text: DOI
Almutairi, Alhanouf M.; Isaac, Phillip S. A connection between \(U_q(\mathfrak{sl}(3))\) and \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded special linear Lie colour algebras via Klein operators. (English) Zbl 07801169 J. Math. Phys. 65, No. 1, Article ID 013503, 6 p. (2024). MSC: 17B37 17B75 PDFBibTeX XMLCite \textit{A. M. Almutairi} and \textit{P. S. Isaac}, J. Math. Phys. 65, No. 1, Article ID 013503, 6 p. (2024; Zbl 07801169) Full Text: DOI
Ballesteros, Ángel; Ramírez, Romina; Reboiro, Marta Non-standard quantum algebras and finite dimensional \(\mathcal{PT}\)-symmetric systems. (English) Zbl 07796336 J. Phys. A, Math. Theor. 57, No. 3, Article ID 035202, 21 p. (2024). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., J. Phys. A, Math. Theor. 57, No. 3, Article ID 035202, 21 p. (2024; Zbl 07796336) Full Text: DOI arXiv
Chen, Hongjia; Gao, Yun; Liu, Xingpeng; Wang, Longhui \(U^0\)-free quantum group representations. (English) Zbl 07791769 J. Algebra 642, 330-366 (2024). MSC: 17B37 17B10 20G42 16T20 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Algebra 642, 330--366 (2024; Zbl 07791769) Full Text: DOI
Hong, Jin; Lee, Hyeonmi Descriptions of crystal \(\mathsf{B}(\lambda)\) for \(E_6\) and \(E_7\) types via tableaux and Kashiwara embedding. (English) Zbl 07787772 J. Algebra 641, 228-267 (2024). MSC: 17B37 81R50 05E10 17B10 PDFBibTeX XMLCite \textit{J. Hong} and \textit{H. Lee}, J. Algebra 641, 228--267 (2024; Zbl 07787772) Full Text: DOI
Aboumrad, Willie; Scrimshaw, Travis On the structure and representation theory of \(q\)-deformed Clifford algebras. (English) Zbl 07780718 Math. Z. 306, No. 1, Paper No. 10, 28 p. (2024). MSC: 16G10 17B37 81R05 15A66 PDFBibTeX XMLCite \textit{W. Aboumrad} and \textit{T. Scrimshaw}, Math. Z. 306, No. 1, Paper No. 10, 28 p. (2024; Zbl 07780718) Full Text: DOI arXiv
Lin, Hongda; Yamane, Hiroyuki; Zhang, Honglian On generators and defining relations of quantum affine superalgebra \(U_q (\widehat{\mathfrak{sl}}_{m|n})\). (English) Zbl 07773282 J. Algebra Appl. 23, No. 1, Article ID 2450021, 29 p. (2024). MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{H. Lin} et al., J. Algebra Appl. 23, No. 1, Article ID 2450021, 29 p. (2024; Zbl 07773282) Full Text: DOI
Kim, Jeong-Ah; Shin, Dong-Uy Zigzag strip bundles and crystals. II. (English) Zbl 07766116 J. Algebra 638, 567-616 (2024). MSC: 17B37 05E10 81R50 PDFBibTeX XMLCite \textit{J.-A. Kim} and \textit{D.-U. Shin}, J. Algebra 638, 567--616 (2024; Zbl 07766116) Full Text: DOI
Razumov, A. V. On Poincaré-Birkhoff-Witt basis of the quantum general linear superalgebra. (English. Russian original) Zbl 07824557 Theor. Math. Phys. 217, No. 3, 1938-1953 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 613-629 (2023). MSC: 81R05 81R12 81S05 17B05 PDFBibTeX XMLCite \textit{A. V. Razumov}, Theor. Math. Phys. 217, No. 3, 1938--1953 (2023; Zbl 07824557); translation from Teor. Mat. Fiz. 217, No. 3, 613--629 (2023) Full Text: DOI
Appel, Andrea; Przeździecki, Tomasz Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras. (English) Zbl 07797734 Adv. Math. 435, Part B, Article ID 109383, 52 p. (2023). MSC: 81R50 17B37 16T25 PDFBibTeX XMLCite \textit{A. Appel} and \textit{T. Przeździecki}, Adv. Math. 435, Part B, Article ID 109383, 52 p. (2023; Zbl 07797734) Full Text: DOI arXiv
Grimm, Thomas W.; Monnee, Jeroen Bi-Yang-Baxter models and Sl(2)-orbits. (English) Zbl 07795838 J. High Energy Phys. 2023, No. 11, Paper No. 123, 36 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{T. W. Grimm} and \textit{J. Monnee}, J. High Energy Phys. 2023, No. 11, Paper No. 123, 36 p. (2023; Zbl 07795838) Full Text: DOI arXiv OA License
Pinet, Théo; Saint-Aubin, Yvan Spin chains as modules over the affine Temperley-Lieb algebra. (English) Zbl 07787982 Algebr. Represent. Theory 26, No. 6, 2523-2584 (2023). MSC: 16G99 17B37 20G42 82B20 PDFBibTeX XMLCite \textit{T. Pinet} and \textit{Y. Saint-Aubin}, Algebr. Represent. Theory 26, No. 6, 2523--2584 (2023; Zbl 07787982) Full Text: DOI arXiv
Angiono, Iván; Lentner, Simon; Sanmarco, Guillermo Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings. (English) Zbl 07785234 Proc. Lond. Math. Soc. (3) 127, No. 4, 1185-1245 (2023). MSC: 16T05 17B37 PDFBibTeX XMLCite \textit{I. Angiono} et al., Proc. Lond. Math. Soc. (3) 127, No. 4, 1185--1245 (2023; Zbl 07785234) Full Text: DOI arXiv OA License
Guin, Satyajit; Saurabh, Bipul On the Clebsch-Gordan coefficients for the quantum group \(U_q (2)\). (English) Zbl 07784764 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 44, 20 p. (2023). MSC: 58B32 33D45 33D80 16W99 PDFBibTeX XMLCite \textit{S. Guin} and \textit{B. Saurabh}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 44, 20 p. (2023; Zbl 07784764) Full Text: DOI
Hounkonnou, Mahouton Norbert; Melong, Fridolin Quantum polynomials from deformed quantum algebras: probability distributions, generating functions and difference equations. (English) Zbl 07778494 Rev. Math. Phys. 35, No. 9, Article ID 2350019, 58 p. (2023). MSC: 33C45 33D45 17B37 81Q50 PDFBibTeX XMLCite \textit{M. N. Hounkonnou} and \textit{F. Melong}, Rev. Math. Phys. 35, No. 9, Article ID 2350019, 58 p. (2023; Zbl 07778494) Full Text: DOI
Fan, Zhaobing; Geng, Jicheng; Han, Shaolong Differential operator realization of braid group action on \(\imath\)quantum groups. (English) Zbl 07775728 J. Math. Phys. 64, No. 10, Article ID 101703, 17 p. (2023). MSC: 17B37 17B35 20F36 PDFBibTeX XMLCite \textit{Z. Fan} et al., J. Math. Phys. 64, No. 10, Article ID 101703, 17 p. (2023; Zbl 07775728) Full Text: DOI arXiv
Jing, Naihuan; Zhang, Xia; Liu, Ming \(R\)-matrix presentation of quantum affine algebra in type \(A_{2n-1}^{(2)}\). (English) Zbl 07758616 Front. Math. (Beijing) 18, No. 3, 513-564 (2023). MSC: 17B37 PDFBibTeX XMLCite \textit{N. Jing} et al., Front. Math. (Beijing) 18, No. 3, 513--564 (2023; Zbl 07758616) Full Text: DOI arXiv
Boumali, Abdelmalek; Bouzenada, Abdelmalek; Zare, Soroush; Hassanabadi, Hassan Thermal properties of the \(q\)-deformed spin-one DKP oscillator. (English) Zbl 07743293 Physica A 628, Article ID 129134, 11 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{A. Boumali} et al., Physica A 628, Article ID 129134, 11 p. (2023; Zbl 07743293) Full Text: DOI
Evans, David E.; Kawahigashi, Yasuyuki Subfactors and mathematical physics. (English) Zbl 07740542 Bull. Am. Math. Soc., New Ser. 60, No. 4, 459-482 (2023). MSC: 46L37 17B69 81R10 81T05 81T40 82B20 82B23 PDFBibTeX XMLCite \textit{D. E. Evans} and \textit{Y. Kawahigashi}, Bull. Am. Math. Soc., New Ser. 60, No. 4, 459--482 (2023; Zbl 07740542) Full Text: DOI arXiv
Chernyak, Dmitry; Gainutdinov, Azat M.; Jacobsen, Jesper Lykke; Saleur, Hubert Algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via \(U_{\mathfrak{q}}\mathfrak{sl}_2\) symmetry. (English) Zbl 07727613 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 046, 47 p. (2023). MSC: 81R50 81R12 81U15 16T25 82B20 82B23 22E47 57K12 81R40 18M20 PDFBibTeX XMLCite \textit{D. Chernyak} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 046, 47 p. (2023; Zbl 07727613) Full Text: DOI arXiv
Doikou, Anastasia; Smoktunowicz, Agata From braces to Hecke algebras and quantum groups. (English) Zbl 07709987 J. Algebra Appl. 22, No. 8, Article ID 2350179, 28 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T20 16T25 17B37 PDFBibTeX XMLCite \textit{A. Doikou} and \textit{A. Smoktunowicz}, J. Algebra Appl. 22, No. 8, Article ID 2350179, 28 p. (2023; Zbl 07709987) Full Text: DOI arXiv
Razumov, A. V. Khoroshkin-Tolstoy approach to quantum superalgebras. (English. Russian original) Zbl 1523.81095 Theor. Math. Phys. 215, No. 1, 560-585 (2023); translation from Teor. Mat. Fiz. 215, No. 1, 121-149 (2023). MSC: 81R12 17A70 46A32 08A35 60E15 81S05 14D15 PDFBibTeX XMLCite \textit{A. V. Razumov}, Theor. Math. Phys. 215, No. 1, 560--585 (2023; Zbl 1523.81095); translation from Teor. Mat. Fiz. 215, No. 1, 121--149 (2023) Full Text: DOI arXiv
Tang, Qian; Xu, Xiaomeng Stokes phenomenon and Poisson brackets in r-matrix form. (English) Zbl 1522.37071 J. Geom. Phys. 188, Article ID 104809, 9 p. (2023). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37J37 34M35 34M40 17B63 37J06 33C15 37J38 PDFBibTeX XMLCite \textit{Q. Tang} and \textit{X. Xu}, J. Geom. Phys. 188, Article ID 104809, 9 p. (2023; Zbl 1522.37071) Full Text: DOI
Kožić, Slaven On the \(h\)-adic quantum vertex algebras associated with Hecke symmetries. (English) Zbl 07678016 Commun. Math. Phys. 397, No. 2, 607-634 (2023). MSC: 17B69 81R50 PDFBibTeX XMLCite \textit{S. Kožić}, Commun. Math. Phys. 397, No. 2, 607--634 (2023; Zbl 07678016) Full Text: DOI arXiv
Tuniyaz, Rabigul On the algebras \(U^{\pm}_q (A_N)\): from a constructive-computational viewpoint. (English) Zbl 07673974 Commun. Algebra 51, No. 5, 1840-1849 (2023). MSC: 16T20 16Z05 PDFBibTeX XMLCite \textit{R. Tuniyaz}, Commun. Algebra 51, No. 5, 1840--1849 (2023; Zbl 07673974) Full Text: DOI
Beem, Christopher; Nair, Sujay Twisted chiral algebras of class \(\mathcal{S}\) and mixed Feigin-Frenkel gluing. (English) Zbl 1521.81285 Commun. Math. Phys. 399, No. 1, 295-366 (2023). MSC: 81T40 81T35 17B69 81-02 PDFBibTeX XMLCite \textit{C. Beem} and \textit{S. Nair}, Commun. Math. Phys. 399, No. 1, 295--366 (2023; Zbl 1521.81285) Full Text: DOI arXiv
Ruan, Chenwei A generating function associated with the alternating elements in the positive part of \(U_q (\widehat{\mathfrak{sl}}_2)\). (English) Zbl 1522.17024 Commun. Algebra 51, No. 4, 1707-1720 (2023). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 05E14 81R50 PDFBibTeX XMLCite \textit{C. Ruan}, Commun. Algebra 51, No. 4, 1707--1720 (2023; Zbl 1522.17024) Full Text: DOI arXiv
Watanabe, Hideya Stability of \(\imath\)canonical bases of irreducible finite type of real rank one. (English) Zbl 07661269 Represent. Theory 27, 1-29 (2023). Reviewer: Marijana Butorac (Rijeka) MSC: 17B37 17B10 PDFBibTeX XMLCite \textit{H. Watanabe}, Represent. Theory 27, 1--29 (2023; Zbl 07661269) Full Text: DOI arXiv
Jakobsen, Hans Plesner Determinantal ideals and the canonical commutation relations: classically or quantized. (English) Zbl 1527.17004 Commun. Math. Phys. 398, No. 1, 375-438 (2023). MSC: 17B20 17B65 20C35 81R50 PDFBibTeX XMLCite \textit{H. P. Jakobsen}, Commun. Math. Phys. 398, No. 1, 375--438 (2023; Zbl 1527.17004) Full Text: DOI arXiv
Xu, Xiaomeng Stokes phenomenon and reflection equations. (English) Zbl 07654505 Commun. Math. Phys. 398, No. 1, 353-373 (2023). MSC: 34M40 17B38 81R50 20F36 58J90 PDFBibTeX XMLCite \textit{X. Xu}, Commun. Math. Phys. 398, No. 1, 353--373 (2023; Zbl 07654505) Full Text: DOI arXiv
Casbi, Elie; Li, Jian-Rong Equivariant multiplicities via representations of quantum affine algebras. (English) Zbl 1520.17021 Sel. Math., New Ser. 29, No. 1, Paper No. 9, 58 p. (2023). MSC: 17B37 20C08 16G99 PDFBibTeX XMLCite \textit{E. Casbi} and \textit{J.-R. Li}, Sel. Math., New Ser. 29, No. 1, Paper No. 9, 58 p. (2023; Zbl 1520.17021) Full Text: DOI arXiv
Chernyak, Dmitry; Gainutdinov, Azat M.; Saleur, Hubert \(U_{\mathfrak{q}}\mathfrak{sl}_2 \)-invariant non-compact boundary conditions for the XXZ spin chain. (English) Zbl 07657339 J. High Energy Phys. 2022, No. 11, Paper No. 16, 65 p. (2022). MSC: 81-XX PDFBibTeX XMLCite \textit{D. Chernyak} et al., J. High Energy Phys. 2022, No. 11, Paper No. 16, 65 p. (2022; Zbl 07657339) Full Text: DOI arXiv
Jian, Run-Qiang A quantum shuffle approach to quantum determinants. (English) Zbl 1521.17030 Lett. Math. Phys. 112, No. 6, Paper No. 127, 23 p. (2022). MSC: 17B37 20G42 PDFBibTeX XMLCite \textit{R.-Q. Jian}, Lett. Math. Phys. 112, No. 6, Paper No. 127, 23 p. (2022; Zbl 1521.17030) Full Text: DOI arXiv
Hoare, Ben Integrable deformations of sigma models. (English) Zbl 1505.81051 J. Phys. A, Math. Theor. 55, No. 9, Article ID 093001, 78 p. (2022). MSC: 81Q80 81R12 PDFBibTeX XMLCite \textit{B. Hoare}, J. Phys. A, Math. Theor. 55, No. 9, Article ID 093001, 78 p. (2022; Zbl 1505.81051) Full Text: DOI arXiv
Doikou, Anastasia; Ghionis, Alexandros; Vlaar, Bart Quasi-bialgebras from set-theoretic type solutions of the Yang-Baxter equation. (English) Zbl 1517.16028 Lett. Math. Phys. 112, No. 4, Paper No. 78, 29 p. (2022). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T20 16T25 17B37 20G42 PDFBibTeX XMLCite \textit{A. Doikou} et al., Lett. Math. Phys. 112, No. 4, Paper No. 78, 29 p. (2022; Zbl 1517.16028) Full Text: DOI arXiv
Luo, Yang; Wang, Yongjie; Ye, Yu On the Harish-Chandra homomorphism for quantum superalgebras. (English) Zbl 1501.17013 Commun. Math. Phys. 393, No. 3, 1483-1527 (2022). Reviewer: Yang Shilin (Beijing) MSC: 17B37 PDFBibTeX XMLCite \textit{Y. Luo} et al., Commun. Math. Phys. 393, No. 3, 1483--1527 (2022; Zbl 1501.17013) Full Text: DOI arXiv
Lamers, Jules; Pasquier, Vincent; Serban, Didina Spin-Ruijsenaars, \(q\)-deformed Haldane-Shastry and Macdonald polynomials. (English) Zbl 1519.82028 Commun. Math. Phys. 393, No. 1, 61-150 (2022). MSC: 82B23 20C08 20G42 33D52 81R50 PDFBibTeX XMLCite \textit{J. Lamers} et al., Commun. Math. Phys. 393, No. 1, 61--150 (2022; Zbl 1519.82028) Full Text: DOI arXiv
Zhong, Chenyang Stochastic symplectic ice. (English) Zbl 1491.82008 Lett. Math. Phys. 112, No. 3, Paper No. 55, 47 p. (2022). MSC: 82B23 82C22 82B20 16T25 60K35 PDFBibTeX XMLCite \textit{C. Zhong}, Lett. Math. Phys. 112, No. 3, Paper No. 55, 47 p. (2022; Zbl 1491.82008) Full Text: DOI arXiv
Guo, JingMin; Duan, Bing; Luo, Yan-Feng Combinatorics of the \(q\)-characters of Hernandez-Leclerc modules. (English) Zbl 1501.17009 J. Algebra 605, 253-295 (2022). MSC: 17B37 13F60 PDFBibTeX XMLCite \textit{J. Guo} et al., J. Algebra 605, 253--295 (2022; Zbl 1501.17009) Full Text: DOI
Chruściński, Dariusz; Kimura, Gen; Ohno, Hiromichi; Singal, Tanmay Bounding the Frobenius norm of a \(q\)-deformed commutator. (English) Zbl 1492.15014 Linear Algebra Appl. 646, 95-106 (2022). Reviewer: Luyining Gan (Reno) MSC: 15A45 15B57 53C42 PDFBibTeX XMLCite \textit{D. Chruściński} et al., Linear Algebra Appl. 646, 95--106 (2022; Zbl 1492.15014) Full Text: DOI arXiv
Baseilhac, Pascal On the second realization for the positive part of \(U_q (\widehat{sl_2})\) of equitable type. (English) Zbl 1498.16041 Lett. Math. Phys. 112, No. 1, Paper No. 2, 28 p. (2022). Reviewer: Mohamed Elhamdadi (Tampa) MSC: 16T25 17B37 81R50 PDFBibTeX XMLCite \textit{P. Baseilhac}, Lett. Math. Phys. 112, No. 1, Paper No. 2, 28 p. (2022; Zbl 1498.16041) Full Text: DOI arXiv
Izumi, Masaki (ed.); Neshveyev, Sergey (ed.); Nikshych, Dmitri (ed.); Skalski, Adam (ed.) Quantum groups – algebra, analysis and category theory. Abstracts from the workshop held September 12–18, 2021 (hybrid meeting). (English) Zbl 1506.00083 Oberwolfach Rep. 18, No. 3, 2397-2458 (2021). MSC: 00B05 00B25 18-06 16-06 17-06 20-06 17B37 18M05 20G42 16Txx 46L67 PDFBibTeX XMLCite \textit{M. Izumi} (ed.) et al., Oberwolfach Rep. 18, No. 3, 2397--2458 (2021; Zbl 1506.00083) Full Text: DOI
Doikou, Anastasia Set-theoretic Yang-Baxter equation, braces and Drinfeld twists. (English) Zbl 1519.16027 J. Phys. A, Math. Theor. 54, No. 41, Article ID 415201, 21 p. (2021). MSC: 16T25 81R50 PDFBibTeX XMLCite \textit{A. Doikou}, J. Phys. A, Math. Theor. 54, No. 41, Article ID 415201, 21 p. (2021; Zbl 1519.16027) Full Text: DOI arXiv
Göhmann, Frank; Kleinemühl, Raphael; Weiße, Alexander Fourth-neighbour two-point functions of the XXZ chain and the fermionic basis approach. (English) Zbl 1519.82011 J. Phys. A, Math. Theor. 54, No. 41, Article ID 414001, 58 p. (2021). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{F. Göhmann} et al., J. Phys. A, Math. Theor. 54, No. 41, Article ID 414001, 58 p. (2021; Zbl 1519.82011) Full Text: DOI arXiv
Belavin, Vladimir; Gepner, Doron The 5-CB algebra and fused \(SU(2)\) lattice models. (English) Zbl 1519.81284 J. Phys. A, Math. Theor. 54, No. 37, Article ID 375202, 17 p. (2021). MSC: 81R10 81T40 PDFBibTeX XMLCite \textit{V. Belavin} and \textit{D. Gepner}, J. Phys. A, Math. Theor. 54, No. 37, Article ID 375202, 17 p. (2021; Zbl 1519.81284) Full Text: DOI arXiv
Crampé, Nicolas; Frappat, Luc; Gaboriaud, Julien; Poulain d’Andecy, Loïc; Ragoucy, Eric; Vinet, Luc The Askey-Wilson algebra and its avatars. (English) Zbl 1519.81276 J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021). MSC: 81R05 33D45 17B37 PDFBibTeX XMLCite \textit{N. Crampé} et al., J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021; Zbl 1519.81276) Full Text: DOI arXiv
Cai, Yan-an; Chen, Hongjia; Guo, Xiangqian; Ma, Yao; Zhu, Mianmian A class of non-weight modules of \(U_p(\mathfrak{s} \mathfrak{l}_2)\) and Clebsch-Gordan type formulas. (English) Zbl 1491.17008 Forum Math. 33, No. 3, 743-755 (2021). Reviewer: Mee Seong Im (Annapolis) MSC: 17B37 20G42 81R50 PDFBibTeX XMLCite \textit{Y.-a. Cai} et al., Forum Math. 33, No. 3, 743--755 (2021; Zbl 1491.17008) Full Text: DOI
García, Gastón Andrés; Gavarini, Fabio Twisted deformations vs. cocycle deformations for quantum groups. (English) Zbl 1490.17021 Commun. Contemp. Math. 23, No. 8, Article ID 2050084, 56 p. (2021). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B37 16T20 PDFBibTeX XMLCite \textit{G. A. García} and \textit{F. Gavarini}, Commun. Contemp. Math. 23, No. 8, Article ID 2050084, 56 p. (2021; Zbl 1490.17021) Full Text: DOI arXiv
Lu, Ming; Wang, Weiqiang A Drinfeld type presentation of affine \(\imath\)quantum groups. I: Split ADE type. (English) Zbl 1514.17017 Adv. Math. 393, Article ID 108111, 46 p. (2021). Reviewer: Marijana Butorac (Rijeka) MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{M. Lu} and \textit{W. Wang}, Adv. Math. 393, Article ID 108111, 46 p. (2021; Zbl 1514.17017) Full Text: DOI arXiv
Hu, Hongmei; Hu, Naihong; Xia, Limeng Majid conjecture: quantum Kac-Moody algebras version. (English) Zbl 1511.17034 Front. Math. China 16, No. 3, 727-747 (2021). MSC: 17B37 18M15 16S30 16T05 PDFBibTeX XMLCite \textit{H. Hu} et al., Front. Math. China 16, No. 3, 727--747 (2021; Zbl 1511.17034) Full Text: DOI
Kotousov, Gleb A.; Lukyanov, Sergei L. ODE/IQFT correspondence for the generalized affine \(\mathfrak{sl} (2)\) Gaudin model. (English) Zbl 1472.81117 J. High Energy Phys. 2021, No. 9, Paper No. 201, 82 p. (2021). MSC: 81R12 81T10 81R05 PDFBibTeX XMLCite \textit{G. A. Kotousov} and \textit{S. L. Lukyanov}, J. High Energy Phys. 2021, No. 9, Paper No. 201, 82 p. (2021; Zbl 1472.81117) Full Text: DOI arXiv
Motegi, Kohei Integrable models and \(K\)-theoretic pushforward of Grothendieck classes. (English) Zbl 1478.14074 Nucl. Phys., B 971, Article ID 115513, 36 p. (2021). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 14M15 05E05 14C17 14D05 14N15 PDFBibTeX XMLCite \textit{K. Motegi}, Nucl. Phys., B 971, Article ID 115513, 36 p. (2021; Zbl 1478.14074) Full Text: DOI arXiv
Baseilhac, Pascal The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras. (English) Zbl 1490.81095 Nucl. Phys., B 967, Article ID 115400, 48 p. (2021). MSC: 81R50 16S30 17B37 PDFBibTeX XMLCite \textit{P. Baseilhac}, Nucl. Phys., B 967, Article ID 115400, 48 p. (2021; Zbl 1490.81095) Full Text: DOI arXiv
Doikou, Anastasia; Smoktunowicz, Agata Set-theoretic Yang-Baxter & reflection equations and quantum group symmetries. (English) Zbl 1486.16039 Lett. Math. Phys. 111, No. 4, Paper No. 105, 40 p. (2021). Reviewer: Matthew Harper (Columbus) MSC: 16T20 16T25 17B37 20G42 82B23 PDFBibTeX XMLCite \textit{A. Doikou} and \textit{A. Smoktunowicz}, Lett. Math. Phys. 111, No. 4, Paper No. 105, 40 p. (2021; Zbl 1486.16039) Full Text: DOI arXiv
Vieira, R. S.; Lima-Santos, A. Solutions of the Yang-Baxter equation for \((n + 1)(2n + 1)\)-vertex models using a differential approach. (English) Zbl 07398328 J. Stat. Mech. Theory Exp. 2021, No. 5, Article ID 053103, 16 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{R. S. Vieira} and \textit{A. Lima-Santos}, J. Stat. Mech. Theory Exp. 2021, No. 5, Article ID 053103, 16 p. (2021; Zbl 07398328) Full Text: DOI arXiv
Ghobadi, Aryan Skew braces as remnants of co-quasitriangular Hopf algebras in suplat. (English) Zbl 1483.16036 J. Algebra 586, 607-642 (2021). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T25 18M15 16T99 17B37 PDFBibTeX XMLCite \textit{A. Ghobadi}, J. Algebra 586, 607--642 (2021; Zbl 1483.16036) Full Text: DOI arXiv
Kožić, Slaven On the quantum affine vertex algebra associated with trigonometric \(R\)-matrix. (English) Zbl 1518.17021 Sel. Math., New Ser. 27, No. 3, Paper No. 45, 49 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 17B69 81R50 PDFBibTeX XMLCite \textit{S. Kožić}, Sel. Math., New Ser. 27, No. 3, Paper No. 45, 49 p. (2021; Zbl 1518.17021) Full Text: DOI arXiv
Gurevich, D. I.; Saponov, P. A. Determinants in quantum matrix algebras and integrable systems. (English. Russian original) Zbl 1467.81053 Theor. Math. Phys. 207, No. 2, 626-639 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 261-276 (2021). MSC: 81Q80 81R25 81R15 PDFBibTeX XMLCite \textit{D. I. Gurevich} and \textit{P. A. Saponov}, Theor. Math. Phys. 207, No. 2, 626--639 (2021; Zbl 1467.81053); translation from Teor. Mat. Fiz. 207, No. 2, 261--276 (2021) Full Text: DOI arXiv
Liu, Zhengwei; Wu, Jinsong Antisymmetric characters and Fourier duality. (English) Zbl 1472.81124 Commun. Math. Phys. 384, No. 1, 77-108 (2021). Reviewer: Ilaria Colazzo (Exeter) MSC: 81R50 20G42 17B37 17B81 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{J. Wu}, Commun. Math. Phys. 384, No. 1, 77--108 (2021; Zbl 1472.81124) Full Text: DOI arXiv
Riley Casper, W.; Kolb, Stefan; Yakimov, Milen Bivariate continuous \(q\)-Hermite polynomials and deformed quantum Serre relations. (English) Zbl 1473.17042 J. Algebra Appl. 20, No. 1, Article ID 2140016, 28 p. (2021). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 53C35 16T05 17B67 PDFBibTeX XMLCite \textit{W. Riley Casper} et al., J. Algebra Appl. 20, No. 1, Article ID 2140016, 28 p. (2021; Zbl 1473.17042) Full Text: DOI arXiv
Rado, Laura; Rivelles, Victor O.; Sánchez, Renato String backgrounds of the Yang-Baxter deformed \( \mathrm{AdS}_4 \times \mathbb{C} \mathbb{P}^3\) superstring. (English) Zbl 1459.83063 J. High Energy Phys. 2021, No. 1, Paper No. 56, 21 p. (2021). MSC: 83E30 81R12 16T25 PDFBibTeX XMLCite \textit{L. Rado} et al., J. High Energy Phys. 2021, No. 1, Paper No. 56, 21 p. (2021; Zbl 1459.83063) Full Text: DOI arXiv
Luo, Cheng; Liu, Bao-Qing; Hou, Hu-Shuang Fractional chaotic maps with \(q\)-deformation. (English) Zbl 1508.39006 Appl. Math. Comput. 393, Article ID 125759, 6 p. (2021). MSC: 39A13 26A33 37D45 PDFBibTeX XMLCite \textit{C. Luo} et al., Appl. Math. Comput. 393, Article ID 125759, 6 p. (2021; Zbl 1508.39006) Full Text: DOI
Fu, Qiang Schur-Weyl duality and centers of quantum Schur algebras. (English) Zbl 1473.17038 J. Pure Appl. Algebra 225, No. 5, Article ID 106594, 17 p. (2021). MSC: 17B37 20G43 20C08 PDFBibTeX XMLCite \textit{Q. Fu}, J. Pure Appl. Algebra 225, No. 5, Article ID 106594, 17 p. (2021; Zbl 1473.17038) Full Text: DOI
Hoare, B.; Lacroix, S. Yang-Baxter deformations of the principal chiral model plus Wess-Zumino term. (English) Zbl 1519.81309 J. Phys. A, Math. Theor. 53, No. 50, Article ID 505401, 53 p. (2020). MSC: 81R12 81T13 81T30 PDFBibTeX XMLCite \textit{B. Hoare} and \textit{S. Lacroix}, J. Phys. A, Math. Theor. 53, No. 50, Article ID 505401, 53 p. (2020; Zbl 1519.81309) Full Text: DOI arXiv
Orlando, Domenico; Reffert, Susanne; Sakamoto, Jun-ichi; Sekiguchi, Yuta; Yoshida, Kentaroh Yang-Baxter deformations and generalized supergravity – a short summary. (English) Zbl 1519.83091 J. Phys. A, Math. Theor. 53, No. 44, Article ID 443001, 79 p. (2020). MSC: 83E50 81T30 PDFBibTeX XMLCite \textit{D. Orlando} et al., J. Phys. A, Math. Theor. 53, No. 44, Article ID 443001, 79 p. (2020; Zbl 1519.83091) Full Text: DOI arXiv
Razumov, Alexander V. Reduced qKZ equation and genuine qKZ equation. (English) Zbl 1519.81340 J. Phys. A, Math. Theor. 53, No. 40, Article ID 405204, 32 p. (2020). MSC: 81R50 81T45 37K10 PDFBibTeX XMLCite \textit{A. V. Razumov}, J. Phys. A, Math. Theor. 53, No. 40, Article ID 405204, 32 p. (2020; Zbl 1519.81340) Full Text: DOI arXiv
Qin, Hui-Hui; Fei, Shao-Ming; Sun, Chang-Pu Quantifying algebraic asymmetry of Hamiltonian systems. (English) Zbl 1511.70032 J. Phys. A, Math. Theor. 53, No. 3, Article ID 035203, 11 p. (2020). MSC: 70S10 81Q80 PDFBibTeX XMLCite \textit{H.-H. Qin} et al., J. Phys. A, Math. Theor. 53, No. 3, Article ID 035203, 11 p. (2020; Zbl 1511.70032) Full Text: DOI arXiv
Klümper, Andreas; Nirov, Khazret S.; Razumov, Alexander V. Reduced qKZ equation: general case. (English) Zbl 1511.81081 J. Phys. A, Math. Theor. 53, No. 1, Article ID 015202, 35 p. (2020). MSC: 81R50 17B37 PDFBibTeX XMLCite \textit{A. Klümper} et al., J. Phys. A, Math. Theor. 53, No. 1, Article ID 015202, 35 p. (2020; Zbl 1511.81081) Full Text: DOI arXiv
Poulain d’Andecy, Loïc Fusion for the Yang-Baxter equation and the braid group. (English) Zbl 1523.16042 Winter Braids Lect. Notes 7, Exp. No. 3, 49 p. (2020). MSC: 16T25 17B38 20C08 20F36 PDFBibTeX XMLCite \textit{L. Poulain d'Andecy}, Winter Braids Lect. Notes 7, Exp. No. 3, 49 p. (2020; Zbl 1523.16042) Full Text: DOI arXiv
Gepner, Doron \(B_k\) spin vertex models and quantum algebras. (English) Zbl 1473.81081 Nucl. Phys., B 958, Article ID 115116, 11 p. (2020). MSC: 81Q80 81R25 17B69 81R15 18M15 PDFBibTeX XMLCite \textit{D. Gepner}, Nucl. Phys., B 958, Article ID 115116, 11 p. (2020; Zbl 1473.81081) Full Text: DOI arXiv
Fukushima, Osamu; Sakamoto, Jun-ichi; Yoshida, Kentaroh Comments on \(\eta\)-deformed principal chiral model from 4D Chern-Simons theory. (English) Zbl 1479.58021 Nucl. Phys., B 957, Article ID 115080, 37 p. (2020). MSC: 58J28 70S15 17B80 14D15 14D21 16T25 PDFBibTeX XMLCite \textit{O. Fukushima} et al., Nucl. Phys., B 957, Article ID 115080, 37 p. (2020; Zbl 1479.58021) Full Text: DOI arXiv
Motegi, Kohei Integrability approach to Fehér-Némethi-Rimányi-Guo-Sun type identities for factorial Grothendieck polynomials. (English) Zbl 1473.81185 Nucl. Phys., B 954, Article ID 114998, 19 p. (2020). MSC: 81U40 81Q80 05C69 18E10 PDFBibTeX XMLCite \textit{K. Motegi}, Nucl. Phys., B 954, Article ID 114998, 19 p. (2020; Zbl 1473.81185) Full Text: DOI arXiv
Qiang, Cheng-xiu; Obul, Abdukadir The skew-commutator relations and Gröbner-Shirshov bases of quantum group of type \(C_3\). (English) Zbl 1470.16047 Acta Math. Appl. Sin., Engl. Ser. 36, No. 4, 825-835 (2020). MSC: 16S15 16Z10 13P10 17B37 PDFBibTeX XMLCite \textit{C.-x. Qiang} and \textit{A. Obul}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 4, 825--835 (2020; Zbl 1470.16047) Full Text: DOI
Jing, Naihuan; Liu, Ming; Molev, Alexander Representations of quantum affine algebras in their \(R\)-matrix realization. (English) Zbl 1500.17013 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 145, 25 p. (2020). Reviewer: Nenad Manojlović (Faro) MSC: 17B37 PDFBibTeX XMLCite \textit{N. Jing} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 145, 25 p. (2020; Zbl 1500.17013) Full Text: DOI arXiv
Fu, Chih-Hao; Wang, Yihong BCJ, worldsheet quantum algebra and KZ equations. (English) Zbl 1457.83073 J. High Energy Phys. 2020, No. 12, Paper No. 106, 32 p. (2020). MSC: 83E30 81U20 81R50 81R10 PDFBibTeX XMLCite \textit{C.-H. Fu} and \textit{Y. Wang}, J. High Energy Phys. 2020, No. 12, Paper No. 106, 32 p. (2020; Zbl 1457.83073) Full Text: DOI arXiv
Alfimov, Mikhail; Feigin, Boris; Hoare, Ben; Litvinov, Alexey Dual description of \(\eta\)-deformed OSP sigma models. (English) Zbl 1457.81053 J. High Energy Phys. 2020, No. 12, Paper No. 40, 46 p. (2020). MSC: 81R12 81R10 81U20 83E30 PDFBibTeX XMLCite \textit{M. Alfimov} et al., J. High Energy Phys. 2020, No. 12, Paper No. 40, 46 p. (2020; Zbl 1457.81053) Full Text: DOI arXiv
Zinn-Justin, Paul The trigonometric \(E_8\) \(R\)-matrix. (English) Zbl 1466.16037 Lett. Math. Phys. 110, No. 12, 3279-3305 (2020). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16T25 PDFBibTeX XMLCite \textit{P. Zinn-Justin}, Lett. Math. Phys. 110, No. 12, 3279--3305 (2020; Zbl 1466.16037) Full Text: DOI arXiv
Aziziheris, K.; Fakhri, H.; Laheghi, S. The quantum group \(\mathrm{SL}_q^*(2)\) and quantum algebra \(U_q(\mathfrak{sl}_2^*)\) based on a new associative multiplication on \(2 \times 2\) matrices. (English) Zbl 1452.81131 J. Math. Phys. 61, No. 6, 063504, 7 p. (2020). MSC: 17B37 16T05 81R50 PDFBibTeX XMLCite \textit{K. Aziziheris} et al., J. Math. Phys. 61, No. 6, 063504, 7 p. (2020; Zbl 1452.81131) Full Text: DOI
Saidi, El Hassan Quantum line operators from Lax pairs. (English) Zbl 1452.81130 J. Math. Phys. 61, No. 6, 063501, 28 p. (2020). MSC: 81R12 16T25 81T13 81R50 17B37 17B38 37K10 14D21 81V05 PDFBibTeX XMLCite \textit{E. H. Saidi}, J. Math. Phys. 61, No. 6, 063501, 28 p. (2020; Zbl 1452.81130) Full Text: DOI arXiv
Regelskis, Vidas; Vlaar, Bart Quasitriangular coideal subalgebras of \(U_q(\mathfrak{g})\) in terms of generalized Satake diagrams. (English) Zbl 1504.17022 Bull. Lond. Math. Soc. 52, No. 4, 693-715 (2020). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 PDFBibTeX XMLCite \textit{V. Regelskis} and \textit{B. Vlaar}, Bull. Lond. Math. Soc. 52, No. 4, 693--715 (2020; Zbl 1504.17022) Full Text: DOI arXiv
Appel, A.; Gautam, S. An explicit isomorphism between quantum and classical \(\mathfrak{sl}_n \). (English) Zbl 1467.53082 Transform. Groups 25, No. 4, 945-980 (2020). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 53D17 53D20 17B37 81R12 PDFBibTeX XMLCite \textit{A. Appel} and \textit{S. Gautam}, Transform. Groups 25, No. 4, 945--980 (2020; Zbl 1467.53082) Full Text: DOI arXiv
Lehrer, Gustav I.; Zhang, Hechun; Zhang, Ruibin First fundamental theorems of invariant theory for quantum supergroups. (English) Zbl 1492.17018 Eur. J. Math. 6, No. 3, 928-976 (2020). MSC: 17B37 15A72 18M30 PDFBibTeX XMLCite \textit{G. I. Lehrer} et al., Eur. J. Math. 6, No. 3, 928--976 (2020; Zbl 1492.17018) Full Text: DOI arXiv
van Daele, Alfons From Hopf algebras to topological quantum groups. A short history, various aspects and some problems. (English) Zbl 1467.16034 Dąbrowski, Ludwik (ed.) et al., Quantum dynamics. Dedicated to Professor Paul Baum. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 120, 179-220 (2020). MSC: 16T05 16-06 46-06 46L67 22D25 PDFBibTeX XMLCite \textit{A. van Daele}, Banach Cent. Publ. 120, 179--220 (2020; Zbl 1467.16034) Full Text: DOI arXiv
Goswami, Debashish; Joardar, Soumalya A note on the injectivity of actions of compact quantum groups on a class of \(C^{\ast}\)-algebras. (English) Zbl 1450.81047 Dąbrowski, Ludwik (ed.) et al., Quantum dynamics. Dedicated to Professor Paul Baum. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 120, 71-79 (2020). MSC: 81R50 81R60 20G42 58B34 46L05 PDFBibTeX XMLCite \textit{D. Goswami} and \textit{S. Joardar}, Banach Cent. Publ. 120, 71--79 (2020; Zbl 1450.81047) Full Text: DOI arXiv
Kharchenko, V. K. Quantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebras. (English) Zbl 1468.17023 J. Algebra 564, 412-435 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 16T05 16T20 16Z10 PDFBibTeX XMLCite \textit{V. K. Kharchenko}, J. Algebra 564, 412--435 (2020; Zbl 1468.17023) Full Text: DOI
Dwivedi, Ravi; Sahai, Vivek On \(q\)-special matrix functions using quantum algebraic techniques. (English) Zbl 1441.81113 Rep. Math. Phys. 85, No. 2, 253-265 (2020). MSC: 81R50 16S30 PDFBibTeX XMLCite \textit{R. Dwivedi} and \textit{V. Sahai}, Rep. Math. Phys. 85, No. 2, 253--265 (2020; Zbl 1441.81113) Full Text: DOI
Ip, Ivan C. H. Positive representations of split real simply-laced quantum groups. (English) Zbl 1483.17012 Publ. Res. Inst. Math. Sci. 56, No. 3, 603-646 (2020). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{I. C. H. Ip}, Publ. Res. Inst. Math. Sci. 56, No. 3, 603--646 (2020; Zbl 1483.17012) Full Text: DOI arXiv
Motegi, Kohei Izergin-Korepin analysis on the wavefunctions of the \(U_q(\mathrm{sl}_2)\) six-vertex model with reflecting end. (English) Zbl 1444.05144 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 7, No. 2, 165-202 (2020). MSC: 05E05 82B23 PDFBibTeX XMLCite \textit{K. Motegi}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 7, No. 2, 165--202 (2020; Zbl 1444.05144) Full Text: DOI arXiv
Goswami, Debashish Quantum symmetry of classical spaces. (English) Zbl 1480.81072 Roy, Priti Kumar (ed.) et al., Mathematical analysis and applications in modeling. Selected papers presented at the international conference, ICMAAM 2018, Kolkata, India, January 9–12, 2018. Singapore: Springer. Springer Proc. Math. Stat. 302, 101-108 (2020). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 81R50 17B37 46L05 16T10 PDFBibTeX XMLCite \textit{D. Goswami}, Springer Proc. Math. Stat. 302, 101--108 (2020; Zbl 1480.81072) Full Text: DOI
Hounkonnou, Mahouton Norbert \(( \mathcal{R}, p,q)\)-Rogers-Szegö and Hermite polynomials, and induced deformed quantum algebras. (English) Zbl 1443.33015 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 387-439 (2020). MSC: 33C45 20G42 PDFBibTeX XMLCite \textit{M. N. Hounkonnou}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 387--439 (2020; Zbl 1443.33015) Full Text: DOI
Jing, Naihuan; Yang, Fan; Liu, Ming Yangian doubles of classical types and their vertex representations. (English) Zbl 1460.81043 J. Math. Phys. 61, No. 5, 051704, 39 p. (2020). MSC: 81R50 17B37 16T25 17B38 17B69 17B15 PDFBibTeX XMLCite \textit{N. Jing} et al., J. Math. Phys. 61, No. 5, 051704, 39 p. (2020; Zbl 1460.81043) Full Text: DOI arXiv
Brannan, Michael; Collins, Benoît Entanglement and the Temperley-Lieb category. (English) Zbl 1445.81011 Bruillard, Paul (ed.) et al., Topological phases of matter and quantum computation. AMS special session, Bowdoin College, Brunswick, ME, USA, September 24–25, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 747, 27-50 (2020). MSC: 81P45 81P40 46N50 47L90 46L67 20G42 PDFBibTeX XMLCite \textit{M. Brannan} and \textit{B. Collins}, Contemp. Math. 747, 27--50 (2020; Zbl 1445.81011) Full Text: DOI
Jing, Naihuan; Liu, Ming; Molev, Alexander Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: types \(B\) and \(D\). (English) Zbl 1495.17024 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 043, 49 p. (2020). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{N. Jing} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 043, 49 p. (2020; Zbl 1495.17024) Full Text: DOI arXiv
Giselsson, Olof \(q\)-independence of the Jimbo-Drinfeld quantization. (English) Zbl 1481.17023 Commun. Math. Phys. 376, No. 3, 1737-1765 (2020). MSC: 17B37 16T05 16W10 22C05 22E46 46L65 PDFBibTeX XMLCite \textit{O. Giselsson}, Commun. Math. Phys. 376, No. 3, 1737--1765 (2020; Zbl 1481.17023) Full Text: DOI arXiv
Jing, Naihuan; Liu, Ming; Molev, Alexander Isomorphism between the \(R\)-matrix and Drinfeld presentations of quantum affine algebra: type \(C\). (English) Zbl 1439.81062 J. Math. Phys. 61, No. 3, 031701, 41 p. (2020). MSC: 17B37 81R50 16T25 PDFBibTeX XMLCite \textit{N. Jing} et al., J. Math. Phys. 61, No. 3, 031701, 41 p. (2020; Zbl 1439.81062) Full Text: DOI arXiv
Bullivant, Alex; Kimball, Andrew; Martin, Paul; Rowell, Eric C. Representations of the necklace braid group: topological and combinatorial approaches. (English) Zbl 1452.20032 Commun. Math. Phys. 375, No. 2, 1223-1247 (2020). Reviewer: Hankyung Ko (Uppsala) MSC: 20F36 20C08 20C15 57M07 PDFBibTeX XMLCite \textit{A. Bullivant} et al., Commun. Math. Phys. 375, No. 2, 1223--1247 (2020; Zbl 1452.20032) Full Text: DOI arXiv Link
Motegi, Kohei; Sakai, Kazumitsu; Watanabe, Satoshi Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions. (English) Zbl 1487.17031 J. Geom. Phys. 149, Article ID 103571, 32 p. (2020). MSC: 17B37 17B80 05E05 33C80 33E05 81U40 PDFBibTeX XMLCite \textit{K. Motegi} et al., J. Geom. Phys. 149, Article ID 103571, 32 p. (2020; Zbl 1487.17031) Full Text: DOI arXiv