Sagaki, Daisuke; Yu, Dongxiao Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2. (English) Zbl 07306359 Commun. Algebra 49, No. 2, 690-705 (2021). MSC: 17B37 17B67 81R50 PDF BibTeX XML Cite \textit{D. Sagaki} and \textit{D. Yu}, Commun. Algebra 49, No. 2, 690--705 (2021; Zbl 07306359) Full Text: DOI
Szántó, Csaba; Szöllősi, István Schofield sequences in the Euclidean case. (English) Zbl 07303209 J. Pure Appl. Algebra 225, No. 5, Article ID 106586, 124 p. (2021). MSC: 16G20 17B37 PDF BibTeX XML Cite \textit{C. Szántó} and \textit{I. Szöllősi}, J. Pure Appl. Algebra 225, No. 5, Article ID 106586, 124 p. (2021; Zbl 07303209) Full Text: DOI
Shoji, Toshiaki; Zhou, Zhiping Diagram automorphisms and canonical bases for quantum affine algebras. (English) Zbl 07286477 J. Algebra 569, 67-110 (2021). MSC: 17B37 PDF BibTeX XML Cite \textit{T. Shoji} and \textit{Z. Zhou}, J. Algebra 569, 67--110 (2021; Zbl 07286477) Full Text: DOI
Fan, Zhaobing; Kang, Seok-Jin; Kim, Young Rock; Tong, Bolun Classical limit of quantum Borcherds-Bozec algebras. (English) Zbl 1452.17016 J. Pure Appl. Algebra 225, No. 2, Article ID 106502, 18 p. (2021). MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{Z. Fan} et al., J. Pure Appl. Algebra 225, No. 2, Article ID 106502, 18 p. (2021; Zbl 1452.17016) Full Text: DOI
Sudo, Takahiro The Hochschild homology and cohomology theory for algebras, reviewed, developed and deformed as gardening quantums or phantoms. (English) Zbl 07307007 Ryukyu Math. J. 33, 61-102 (2020). MSC: 16E40 16E45 17B35 17B63 17B66 46L65 46L80 46L87 PDF BibTeX XML Cite \textit{T. Sudo}, Ryukyu Math. J. 33, 61--102 (2020; Zbl 07307007) Full Text: Link
Cantuba, Rafael Reno S. Compactness property of Lie polynomials in the creation and annihilation operators of the \(q\)-oscillator. (English) Zbl 07305690 Lett. Math. Phys. 110, No. 10, 2639-2657 (2020). MSC: 17B10 17B15 17B81 17B37 47B07 47B15 47B32 47B37 47B47 47L30 47L90 46H70 81R10 81R50 81R99 PDF BibTeX XML Cite \textit{R. R. S. Cantuba}, Lett. Math. Phys. 110, No. 10, 2639--2657 (2020; Zbl 07305690) Full Text: DOI
Vaz, Pedro Not even Khovanov homology. (English) Zbl 07291151 Pac. J. Math. 308, No. 1, 223-256 (2020). MSC: 81R50 17B37 18G50 57M15 16G20 PDF BibTeX XML Cite \textit{P. Vaz}, Pac. J. Math. 308, No. 1, 223--256 (2020; Zbl 07291151) Full Text: DOI
Gustafson, Paul; Kimball, Andrew; Rowell, Eric C.; Zhang, Qing Braid group representations from twisted tensor products of algebras. (English) Zbl 07290707 Peking Math. J. 3, No. 2, 103-130 (2020). MSC: 20F36 16S80 16S40 16W30 17B37 16W50 PDF BibTeX XML Cite \textit{P. Gustafson} et al., Peking Math. J. 3, No. 2, 103--130 (2020; Zbl 07290707) Full Text: DOI
Gurevich, D. I.; Saponov, P. A. Centers of generalized reflection equation algebras. (English. Russian original) Zbl 1453.81039 Theor. Math. Phys. 204, No. 3, 1130-1139 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 355-366 (2020). MSC: 81R50 17B37 16T25 20C08 35B33 17B81 PDF BibTeX XML Cite \textit{D. I. Gurevich} and \textit{P. A. Saponov}, Theor. Math. Phys. 204, No. 3, 1130--1139 (2020; Zbl 1453.81039); translation from Teor. Mat. Fiz. 204, No. 3, 355--366 (2020) Full Text: DOI
Kharchenko, V. K.; Díaz Sosa, M. L. Combinatorial rank of quantum groups of infinite series. (English) Zbl 1448.20040 Shum, K. P. (ed.) et al., New trends in algebras and combinatorics. Proceedings of the 3rd international congress in algebras and combinatorics, ICAC 2017, Hong Kong, China, August 25–28, 2017. In honor of Professor Leonid Bokut on the occasion of his 80th birthday. Hackensack, NJ: World Scientific. 228-254 (2020). MSC: 20G42 17B37 PDF BibTeX XML Cite \textit{V. K. Kharchenko} and \textit{M. L. Díaz Sosa}, in: New trends in algebras and combinatorics. Proceedings of the 3rd international congress in algebras and combinatorics, ICAC 2017, Hong Kong, China, August 25--28, 2017. In honor of Professor Leonid Bokut on the occasion of his 80th birthday. Hackensack, NJ: World Scientific. 228--254 (2020; Zbl 1448.20040) Full Text: DOI
Rajeev, S. G. Infinitesimal quantum group from helicity in fluid mechanics. (English) Zbl 1448.76119 Mod. Phys. Lett. A 35, No. 30, Article ID 2050245, 13 p. (2020). MSC: 76M60 17B81 17B37 PDF BibTeX XML Cite \textit{S. G. Rajeev}, Mod. Phys. Lett. A 35, No. 30, Article ID 2050245, 13 p. (2020; Zbl 1448.76119) Full Text: DOI
Belhaj Mohamed, Mohamed Doubling pre-Lie algebra of rooted trees. (English) Zbl 1451.81329 J. Algebra Appl. 19, No. 12, Article ID 2050228, 16 p. (2020). MSC: 81T15 81R50 16T05 16T10 05C05 17B62 17B37 PDF BibTeX XML Cite \textit{M. Belhaj Mohamed}, J. Algebra Appl. 19, No. 12, Article ID 2050228, 16 p. (2020; Zbl 1451.81329) Full Text: DOI
Celik, Salih Quantum de Rham complex on \(\mathbb{A}_h^{1 | 2} \). (English) Zbl 07272272 J. Algebra Appl. 19, No. 9, Article ID 2050177, 16 p. (2020). MSC: 16S80 17B37 81R60 PDF BibTeX XML Cite \textit{S. Celik}, J. Algebra Appl. 19, No. 9, Article ID 2050177, 16 p. (2020; Zbl 07272272) Full Text: DOI
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
Lehrer, Gustav I.; Zhang, Hechun; Zhang, Ruibin First fundamental theorems of invariant theory for quantum supergroups. (English) Zbl 07270590 Eur. J. Math. 6, No. 3, 928-976 (2020). MSC: 17B37 15A72 18D10 PDF BibTeX XML Cite \textit{G. I. Lehrer} et al., Eur. J. Math. 6, No. 3, 928--976 (2020; Zbl 07270590) Full Text: DOI
Ding, Ming; Xu, Fan; Zhang, Haicheng Acyclic quantum cluster algebras via Hall algebras of morphisms. (English) Zbl 07263144 Math. Z. 296, No. 3-4, 945-968 (2020). MSC: 17B37 16G20 17B20 PDF BibTeX XML Cite \textit{M. Ding} et al., Math. Z. 296, No. 3--4, 945--968 (2020; Zbl 07263144) Full Text: DOI
Kharchenko, V. K. Quantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebras. (English) Zbl 07251667 J. Algebra 564, 412-435 (2020). MSC: 17B37 16T05 16T20 PDF BibTeX XML Cite \textit{V. K. Kharchenko}, J. Algebra 564, 412--435 (2020; Zbl 07251667) Full Text: DOI
Chandler, R. G.; Vancliff, M. The quantum spaces of certain graded algebras related to \(\mathfrak{sl}(2, \Bbbk)\). (English) Zbl 1442.17016 Algebr. Represent. Theory 23, No. 4, 1781-1796 (2020). MSC: 17B37 14A22 16S37 17B35 17B75 PDF BibTeX XML Cite \textit{R. G. Chandler} and \textit{M. Vancliff}, Algebr. Represent. Theory 23, No. 4, 1781--1796 (2020; Zbl 1442.17016) Full Text: DOI
Lauda, Aaron D. Parameters in categorified quantum groups. (English) Zbl 07246638 Algebr. Represent. Theory 23, No. 4, 1265-1284 (2020). MSC: 17B37 PDF BibTeX XML Cite \textit{A. D. Lauda}, Algebr. Represent. Theory 23, No. 4, 1265--1284 (2020; Zbl 07246638) Full Text: DOI
Mezlini, Kamel Fock spaces for the complex Dunkl operator and deformed \(\mathrm{su}(1,1)\) algebra. (English) Zbl 1447.81137 Int. J. Theor. Phys. 59, No. 8, 2509-2528 (2020). MSC: 81R05 30H20 22E70 81R30 17B37 17B15 PDF BibTeX XML Cite \textit{K. Mezlini}, Int. J. Theor. Phys. 59, No. 8, 2509--2528 (2020; Zbl 1447.81137) Full Text: DOI
Misra, Kailash C.; Pongprasert, Suchada \(D^{(1)}_6\)-geometric crystal at the spin node. (English) Zbl 07243465 Commun. Algebra 48, No. 8, 3382-3397 (2020). MSC: 17B37 17B67 22E65 14M15 PDF BibTeX XML Cite \textit{K. C. Misra} and \textit{S. Pongprasert}, Commun. Algebra 48, No. 8, 3382--3397 (2020; Zbl 07243465) Full Text: DOI
Arias, Juan Camilo Derived counterparts of fusion categories of quantum groups. (English) Zbl 07242349 J. Algebra 562, 257-285 (2020). MSC: 17B37 17B10 18G99 18M15 18M20 PDF BibTeX XML Cite \textit{J. C. Arias}, J. Algebra 562, 257--285 (2020; Zbl 07242349) 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 PDF BibTeX XML Cite \textit{R. Dwivedi} and \textit{V. Sahai}, Rep. Math. Phys. 85, No. 2, 253--265 (2020; Zbl 1441.81113) Full Text: DOI
Tsymbaliuk, Alexander Shuffle algebra realizations of type \(A\) super Yangians and quantum affine superalgebras for all Cartan data. (English) Zbl 07239422 Lett. Math. Phys. 110, No. 8, 2083-2111 (2020). MSC: 17B37 81R10 PDF BibTeX XML Cite \textit{A. Tsymbaliuk}, Lett. Math. Phys. 110, No. 8, 2083--2111 (2020; Zbl 07239422) Full Text: DOI
Liu, Junli; Xu, Qiuli; Jiang, Wei Leonard pairs constructed from the quantum algebra \({v_q} (s{l_2})\). (English) Zbl 07234978 J. Math., Wuhan Univ. 40, No. 1, 1-6 (2020). MSC: 17B37 16T20 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Math., Wuhan Univ. 40, No. 1, 1--6 (2020; Zbl 07234978) Full Text: DOI
Neguţ, Andrei Quantum toroidal and shuffle algebras. (English) Zbl 07232808 Adv. Math. 372, Article ID 107288, 59 p. (2020). MSC: 17B37 17B67 81R50 16T20 PDF BibTeX XML Cite \textit{A. Neguţ}, Adv. Math. 372, Article ID 107288, 59 p. (2020; Zbl 07232808) Full Text: DOI
Gerber, Thomas; Jacon, Nicolas; Norton, Emily Generalized Mullineux involution and perverse equivalences. (English) Zbl 1451.16030 Pac. J. Math. 306, No. 2, 487-517 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T30 17B37 20C08 PDF BibTeX XML Cite \textit{T. Gerber} et al., Pac. J. Math. 306, No. 2, 487--517 (2020; Zbl 1451.16030) Full Text: DOI
Salerno, Adriana; Schneps, Leila Mould theory and the double shuffle Lie algebra structure. (English) Zbl 1444.81022 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 399-430 (2020). MSC: 81R50 17B37 11M32 16T05 PDF BibTeX XML Cite \textit{A. Salerno} and \textit{L. Schneps}, Springer Proc. Math. Stat. 314, 399--430 (2020; Zbl 1444.81022) Full Text: DOI
Bruillard, Paul; Gustafson, Paul; Plavnik, Julia Yael; Rowell, Eric C. Dimension as a quantum statistic and the classification of metaplectic categories. (English) Zbl 1442.18036 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, 89-113 (2020). MSC: 18M20 18M15 20J99 81V27 17B37 PDF BibTeX XML Cite \textit{P. Bruillard} et al., Contemp. Math. 747, 89--113 (2020; Zbl 1442.18036) 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
Futorny, Vyacheslav; Křižka, Libor; Zhang, Jian Generalized Verma modules over \(U_q(\mathfrak{sl}_n(\mathbb{C}))\). (English) Zbl 07210928 Algebr. Represent. Theory 23, No. 3, 811-832 (2020). MSC: 17B10 17B37 17B20 17B35 PDF BibTeX XML Cite \textit{V. Futorny} et al., Algebr. Represent. Theory 23, No. 3, 811--832 (2020; Zbl 07210928) Full Text: DOI
Yang, Yang Some \(q\)-exponential formulas for finite-dimensional \(\square_q\)-modules. (English) Zbl 07210914 Algebr. Represent. Theory 23, No. 3, 467-482 (2020). MSC: 17B37 33D80 PDF BibTeX XML Cite \textit{Y. Yang}, Algebr. Represent. Theory 23, No. 3, 467--482 (2020; Zbl 07210914) Full Text: DOI
Fa, Huanxia; Li, Meijun; Li, Junbo The deformed twisted Heisenberg-Virasoro type Lie bialgebra. (English) Zbl 07209557 Commun. Algebra 48, No. 6, 2713-2722 (2020). MSC: 17B05 17B37 17B62 17B65 17B68 PDF BibTeX XML Cite \textit{H. Fa} et al., Commun. Algebra 48, No. 6, 2713--2722 (2020; Zbl 07209557) Full Text: DOI
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong Monoidal categorification and quantum affine algebras. (English) Zbl 07206132 Compos. Math. 156, No. 5, 1039-1077 (2020). MSC: 17B37 13F60 18D10 PDF BibTeX XML Cite \textit{M. Kashiwara} et al., Compos. Math. 156, No. 5, 1039--1077 (2020; Zbl 07206132) Full Text: DOI
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: 81R50 17B37 16T25 PDF BibTeX XML Cite \textit{N. Jing} et al., J. Math. Phys. 61, No. 3, 031701, 41 p. (2020; Zbl 1439.81062) Full Text: DOI
Cooper, Benjamin; Samuelson, Peter The Hall algebras of surfaces. I. (English) Zbl 1440.53098 J. Inst. Math. Jussieu 19, No. 3, 971-1028 (2020). MSC: 53D37 17B37 PDF BibTeX XML Cite \textit{B. Cooper} and \textit{P. Samuelson}, J. Inst. Math. Jussieu 19, No. 3, 971--1028 (2020; Zbl 1440.53098) Full Text: DOI
Liu, Jiefeng; Bai, Chengming; Sheng, Yunhe Noncommutative Poisson bialgebras. (English) Zbl 07198526 J. Algebra 556, 35-66 (2020). MSC: 17B63 17B62 17A30 17B37 16T10 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Algebra 556, 35--66 (2020; Zbl 07198526) Full Text: DOI
Post, Sarah; Terwilliger, Paul An infinite-dimensional \(\square_q\)-module obtained from the \(q\)-shuffle algebra for affine \(\mathfrak{sl}_2\). (English) Zbl 07196494 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 037, 35 p. (2020). MSC: 17B37 PDF BibTeX XML Cite \textit{S. Post} and \textit{P. Terwilliger}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 037, 35 p. (2020; Zbl 07196494) Full Text: DOI
Kang, Seok-Jin; Kim, Young Rock Quantum Borcherds-Bozec algebras and their integrable representations. (English) Zbl 07195684 J. Pure Appl. Algebra 224, No. 10, Article ID 106388, 24 p. (2020). MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{S.-J. Kang} and \textit{Y. R. Kim}, J. Pure Appl. Algebra 224, No. 10, Article ID 106388, 24 p. (2020; Zbl 07195684) Full Text: DOI
Yang, Yaping; Zhao, Gufang On two cohomological Hall algebras. (English) Zbl 1446.14036 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1581-1607 (2020). MSC: 14N35 17B37 14F43 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{G. Zhao}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1581--1607 (2020; Zbl 1446.14036) Full Text: DOI
Sołtan, Piotr M. Podleś spheres for the braided quantum \(\mathrm{SU}(2)\). (English) Zbl 07191094 Linear Algebra Appl. 591, 169-204 (2020). Reviewer: Akira Asada (Takarazuka) MSC: 58B32 17B37 46L89 PDF BibTeX XML Cite \textit{P. M. Sołtan}, Linear Algebra Appl. 591, 169--204 (2020; Zbl 07191094) Full Text: DOI
Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra. (English) Zbl 1436.81070 Ramanujan J. 51, No. 3, 629-648 (2020). MSC: 81R50 81R10 81U15 39A70 33D50 39A13 17B37 PDF BibTeX XML Cite \textit{P. Baseilhac} et al., Ramanujan J. 51, No. 3, 629--648 (2020; Zbl 1436.81070) Full Text: DOI
Weber, Thomas Braided Cartan calculi and submanifold algebras. (English) Zbl 1437.18010 J. Geom. Phys. 150, Article ID 103612, 24 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M15 16T05 17B37 58B34 58A15 PDF BibTeX XML Cite \textit{T. Weber}, J. Geom. Phys. 150, Article ID 103612, 24 p. (2020; Zbl 1437.18010) Full Text: DOI
Bian, ZhiHao; Liu, Mingqiang Representation type of the little \(q\)-Schur algebras. (English) Zbl 07187758 J. Pure Appl. Algebra 224, No. 8, Article ID 106349, 11 p. (2020). MSC: 17B37 20G05 PDF BibTeX XML Cite \textit{Z. Bian} and \textit{M. Liu}, J. Pure Appl. Algebra 224, No. 8, Article ID 106349, 11 p. (2020; Zbl 07187758) Full Text: DOI
Xiao, Zhankui; Yang, Yuping; Zhang, Yinhuo The diagram category of framed tangles and invariants of quantized symplectic group. (English) Zbl 1441.18022 Sci. China, Math. 63, No. 4, 689-700 (2020). Reviewer: Paolo Saracco (Bruxelles) MSC: 18M15 17B37 16T30 20G05 PDF BibTeX XML Cite \textit{Z. Xiao} et al., Sci. China, Math. 63, No. 4, 689--700 (2020; Zbl 1441.18022) Full Text: DOI
Du, Jie; Lin, Yanan; Zhou, Zhongguo Polynomial super representations of \(U_q^{\mathrm{res}}(\mathfrak{gl}_{m\mid n})\) at roots of unity. (English) Zbl 07177864 J. Algebr. Comb. 51, No. 2, 195-235 (2020). MSC: 17B35 17B37 17B70 20C08 20G43 PDF BibTeX XML Cite \textit{J. Du} et al., J. Algebr. Comb. 51, No. 2, 195--235 (2020; Zbl 07177864) Full Text: DOI
Nazarov, Maxim Double Yangian and the universal \(R\)-matrix. (English) Zbl 07177052 Jpn. J. Math. (3) 15, No. 1, 169-221 (2020). MSC: 16T20 17B37 81R50 PDF BibTeX XML Cite \textit{M. Nazarov}, Jpn. J. Math. (3) 15, No. 1, 169--221 (2020; Zbl 07177052) Full Text: DOI
Hou, Bo; Zhao, Juan; Hou, Lihang Classical Leonard pairs having LB-TD form. (English) Zbl 1437.15003 Linear Multilinear Algebra 68, No. 3, 622-634 (2020). Reviewer: Janko Marovt (Maribor) MSC: 15A04 33D45 17B37 PDF BibTeX XML Cite \textit{B. Hou} et al., Linear Multilinear Algebra 68, No. 3, 622--634 (2020; Zbl 1437.15003) Full Text: DOI
Zhang, Haonan Infinitely divisible states on finite quantum groups. (English) Zbl 07152520 Math. Z. 294, No. 1-2, 571-592 (2020). MSC: 17B37 43A62 46L65 46L89 PDF BibTeX XML Cite \textit{H. Zhang}, Math. Z. 294, No. 1--2, 571--592 (2020; Zbl 07152520) Full Text: DOI arXiv
Hartwig, Jonas T. Principal Galois orders and Gelfand-Zeitlin modules. (English) Zbl 07135141 Adv. Math. 359, Article ID 106806, 23 p. (2020). MSC: 16W22 16S30 17B37 PDF BibTeX XML Cite \textit{J. T. Hartwig}, Adv. Math. 359, Article ID 106806, 23 p. (2020; Zbl 07135141) Full Text: DOI arXiv
Bisch, Dietmar (ed.); Gannon, Terry J. (ed.); Jones, Vaughan F. R. (ed.); Kawahigashi, Yasuyuki (ed.) Subfactors and applications. Abstracts from the workshop held October 27 – November 2, 2019. (English) Zbl 07285566 Oberwolfach Rep. 16, No. 4, 3053-3140 (2019). MSC: 00B05 00B25 17-06 46-06 81-06 17B37 17B69 18M05 46L37 46L60 47L90 81R15 81T05 81T40 PDF BibTeX XML Cite \textit{D. Bisch} (ed.) et al., Oberwolfach Rep. 16, No. 4, 3053--3140 (2019; Zbl 07285566) Full Text: DOI
Riyasat, Mumtaz; Khan, Subuhi; Nahid, Tabinda Quantum algebra \(\varepsilon_q(2)\) and 2D \(q\)-Bessel functions. (English) Zbl 1441.17015 Rep. Math. Phys. 83, No. 2, 191-206 (2019). MSC: 17B37 33C10 33C99 PDF BibTeX XML Cite \textit{M. Riyasat} et al., Rep. Math. Phys. 83, No. 2, 191--206 (2019; Zbl 1441.17015) Full Text: DOI
Brzeziński, Tomasz; Szymański, Wojciech On the quantum flag manifold \(\mathrm{SU}_q (3)/\mathbb{T}^2 \). (English) Zbl 07215860 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser (ISBN 978-3-030-34071-1/hbk; 978-3-030-34072-8/ebook). Trends in Mathematics, 129-139 (2019). MSC: 46L89 22D25 22E45 17B37 PDF BibTeX XML Cite \textit{T. Brzeziński} and \textit{W. Szymański}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 129--139 (2019; Zbl 07215860) Full Text: DOI
Lanini, Martina; Ram, Arun; Sobaje, Paul A Fock space model for decomposition numbers for quantum groups at roots of unity. (English) Zbl 1436.17022 Kyoto J. Math. 59, No. 4, 955-991 (2019). MSC: 17B37 20C20 PDF BibTeX XML Cite \textit{M. Lanini} et al., Kyoto J. Math. 59, No. 4, 955--991 (2019; Zbl 1436.17022) Full Text: DOI Euclid
Campoamor-Stursberg, Rutwig; Oviaño García, Francisco Some features of rank one real solvable cohomologically rigid Lie algebras with a nilradical contracting onto the model filiform Lie algebra \(Q_n\). (English) Zbl 1432.17019 Axioms 8, No. 1, Paper No. 10, 21 p. (2019). MSC: 17B56 81R50 17B37 16S40 PDF BibTeX XML Cite \textit{R. Campoamor-Stursberg} and \textit{F. Oviaño García}, Axioms 8, No. 1, Paper No. 10, 21 p. (2019; Zbl 1432.17019) Full Text: DOI
De Clercq, Hadewijch Higher rank relations for the Askey-Wilson and \(q\)-Bannai-Ito algebra. (English) Zbl 07170266 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 099, 32 p. (2019). MSC: 17B37 16T15 81R50 PDF BibTeX XML Cite \textit{H. De Clercq}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 099, 32 p. (2019; Zbl 07170266) Full Text: DOI
Ohkubo, Yusuke Singular vectors of the Ding-Iohara-Miki algebra. (English. Russian original) Zbl 1432.81044 Theor. Math. Phys. 199, No. 1, 475-500 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 3-32 (2019). MSC: 81R50 17B37 33D52 14D15 81T13 81T40 81T30 PDF BibTeX XML Cite \textit{Y. Ohkubo}, Theor. Math. Phys. 199, No. 1, 475--500 (2019; Zbl 1432.81044); translation from Teor. Mat. Fiz. 199, No. 1, 3--32 (2019) Full Text: DOI
Xiao, Jie; Xu, Fan; Zhao, Minghui Ringel-Hall algebras beyond their quantum groups. I: Restriction functor and Green formula. (English) Zbl 07144055 Algebr. Represent. Theory 22, No. 5, 1299-1329 (2019). MSC: 16G20 17B37 PDF BibTeX XML Cite \textit{J. Xiao} et al., Algebr. Represent. Theory 22, No. 5, 1299--1329 (2019; Zbl 07144055) Full Text: DOI
Bittmann, Léa Asymptotics of standard modules of quantum affine algebras. (English) Zbl 07144052 Algebr. Represent. Theory 22, No. 5, 1209-1237 (2019). MSC: 17B37 17B10 16T20 PDF BibTeX XML Cite \textit{L. Bittmann}, Algebr. Represent. Theory 22, No. 5, 1209--1237 (2019; Zbl 07144052) Full Text: DOI arXiv
Uçan, Yasemen Fractional supersymmetric \(su(2)\) algebras. (English) Zbl 07141986 Math. Methods Appl. Sci. 42, No. 16, 5340-5345 (2019). MSC: 17Bxx 17B37 17B35 16T05 16S30 PDF BibTeX XML Cite \textit{Y. Uçan}, Math. Methods Appl. Sci. 42, No. 16, 5340--5345 (2019; Zbl 07141986) Full Text: DOI
Butorac, Marijana; Jing, Naihuan; Kožić, Slaven \(h\)-adic quantum vertex algebras associated with rational \(R\)-matrix in types \(B, C\) and \(D\). (English) Zbl 07138288 Lett. Math. Phys. 109, No. 11, 2439-2471 (2019). MSC: 17B37 17B69 PDF BibTeX XML Cite \textit{M. Butorac} et al., Lett. Math. Phys. 109, No. 11, 2439--2471 (2019; Zbl 07138288) Full Text: DOI
Kuniba, Atsuo; Okado, Masato; Yoneyama, Akihito Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\). (English) Zbl 1440.17011 Lett. Math. Phys. 109, No. 9, 2049-2067 (2019). MSC: 17B37 17B80 81R50 PDF BibTeX XML Cite \textit{A. Kuniba} et al., Lett. Math. Phys. 109, No. 9, 2049--2067 (2019; Zbl 1440.17011) Full Text: DOI
Molev, Alexander; Ragoucy, Eric Higher-order Hamiltonians for the trigonometric Gaudin model. (English) Zbl 1425.81060 Lett. Math. Phys. 109, No. 9, 2035-2048 (2019). MSC: 81R50 17B37 82B20 82B23 PDF BibTeX XML Cite \textit{A. Molev} and \textit{E. Ragoucy}, Lett. Math. Phys. 109, No. 9, 2035--2048 (2019; Zbl 1425.81060) Full Text: DOI
Webster, Ben Representation theory of the cyclotomic Cherednik algebra via the Dunkl-Opdam subalgebra. (English) Zbl 1448.16024 New York J. Math. 25, 1017-1047 (2019). MSC: 16G99 17B37 PDF BibTeX XML Cite \textit{B. Webster}, New York J. Math. 25, 1017--1047 (2019; Zbl 1448.16024) Full Text: Link arXiv
Kashiwara, Masaki; Kim, Myungho Laurent phenomenon and simple modules of quiver Hecke algebras. (English) Zbl 07118443 Compos. Math. 155, No. 12, 2263-2295 (2019). MSC: 13F60 81R50 16G20 17B37 20C08 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{M. Kim}, Compos. Math. 155, No. 12, 2263--2295 (2019; Zbl 07118443) Full Text: DOI arXiv
Hoshino, A.; Nakada, K. Polyhedral realizations of crystal bases \(B(\lambda)\) for quantum algebras of nonexceptional affine types. (English) Zbl 1428.82063 J. Math. Phys. 60, No. 9, 091704, 56 p. (2019). MSC: 82D25 52B20 81R50 17B37 PDF BibTeX XML Cite \textit{A. Hoshino} and \textit{K. Nakada}, J. Math. Phys. 60, No. 9, 091704, 56 p. (2019; Zbl 1428.82063) Full Text: DOI
Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis Vertex representations for Yangians of Kac-Moody algebras. (Représentations vertex pour les Yangiens d’algèbres de Kac-Moody.) (English) Zbl 1452.17017 J. Éc. Polytech., Math. 6, 665-706 (2019). Reviewer: Robert McRae (Beijing) MSC: 17B37 81R10 17B69 PDF BibTeX XML Cite \textit{N. Guay} et al., J. Éc. Polytech., Math. 6, 665--706 (2019; Zbl 1452.17017) Full Text: DOI
Brito, Matheus; Chari, Vyjayanthi Tensor products and \(q\)-characters of HL-modules and monoidal categorifications. (Produits tensoriels et \(Q\)-caractères de HL-modules et catégorifications monoïdales.) (English. French summary) Zbl 1446.17026 J. Éc. Polytech., Math. 6, 581-619 (2019). MSC: 17B37 13F60 18M99 20G42 PDF BibTeX XML Cite \textit{M. Brito} and \textit{V. Chari}, J. Éc. Polytech., Math. 6, 581--619 (2019; Zbl 1446.17026) Full Text: DOI arXiv
Genest, Vincent X.; Lapointe, Luc; Vinet, Luc \(\mathfrak{osp}(1,2)\) and generalized Bannai-Ito algebras. (English) Zbl 07110619 Trans. Am. Math. Soc. 372, No. 6, 4127-4148 (2019). MSC: 17B37 81R05 PDF BibTeX XML Cite \textit{V. X. Genest} et al., Trans. Am. Math. Soc. 372, No. 6, 4127--4148 (2019; Zbl 07110619) Full Text: DOI arXiv
Erdmann, Karin; Green, Edward L.; Snashall, Nicole; Taillefer, Rachel Stable Green ring of the Drinfeld doubles of the generalised Taft algebras (corrections and new results). (English) Zbl 07107934 Algebr. Represent. Theory 22, No. 4, 757-783 (2019). MSC: 17B37 81R50 16E30 06B15 16T05 PDF BibTeX XML Cite \textit{K. Erdmann} et al., Algebr. Represent. Theory 22, No. 4, 757--783 (2019; Zbl 07107934) Full Text: DOI
Kanade, Shashank; Linshaw, Andrew R. Universal two-parameter even spin \(\mathcal{W}_\infty\)-algebra. (English) Zbl 1453.17016 Adv. Math. 355, Article ID 106774, 58 p. (2019). MSC: 17B69 17B37 17B68 PDF BibTeX XML Cite \textit{S. Kanade} and \textit{A. R. Linshaw}, Adv. Math. 355, Article ID 106774, 58 p. (2019; Zbl 1453.17016) Full Text: DOI arXiv
Qi, You A categorification of a quantum Frobenius map. (English) Zbl 1435.81101 J. Inst. Math. Jussieu 18, No. 5, 899-939 (2019). Reviewer: Jan E. Grabowski (Lancaster) MSC: 81R50 17B37 16E20 16E35 13A35 16E30 PDF BibTeX XML Cite \textit{Y. Qi}, J. Inst. Math. Jussieu 18, No. 5, 899--939 (2019; Zbl 1435.81101) Full Text: DOI arXiv
Cheng, Xiao; Sun, Jiancai; Yang, Hengyun Lie super-bialgebra structures on the super-BMS\(_3\) algebra. (English) Zbl 1430.17065 Algebra Colloq. 26, No. 3, 437-458 (2019). MSC: 17B62 17B37 PDF BibTeX XML Cite \textit{X. Cheng} et al., Algebra Colloq. 26, No. 3, 437--458 (2019; Zbl 1430.17065) Full Text: DOI
Ip, I. C.-H. Cluster realization of positive representations of a split real quantum Borel subalgebra. (English. Russian original) Zbl 1421.81063 Theor. Math. Phys. 198, No. 2, 215-238 (2019); translation from Teor. Mat. Fiz. 198, No. 2, 246-272 (2019). MSC: 81R50 17B37 46L05 46L10 PDF BibTeX XML Cite \textit{I. C. H. Ip}, Theor. Math. Phys. 198, No. 2, 215--238 (2019; Zbl 1421.81063); translation from Teor. Mat. Fiz. 198, No. 2, 246--272 (2019) Full Text: DOI
Hou, Lihang; Song, Yali; Hou, Bo A note on the algebra \(U_q(sl_2)\). (English) Zbl 07089677 Commun. Algebra 47, No. 5, 2220-2226 (2019). MSC: 17B37 PDF BibTeX XML Cite \textit{L. Hou} et al., Commun. Algebra 47, No. 5, 2220--2226 (2019; Zbl 07089677) Full Text: DOI
Chen, Qinghua; Zhang, Haicheng Multiplicative properties of certain elements in Bridgeland Hall algebras. (English) Zbl 07089360 Commun. Algebra 47, No. 10, 4148-4159 (2019). MSC: 16G20 17B20 17B37 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{H. Zhang}, Commun. Algebra 47, No. 10, 4148--4159 (2019; Zbl 07089360) Full Text: DOI
Shi, Yuxing Finite dimensional Hopf algebras over the Kac-Paljutkin algebra \(H_8\). (English) Zbl 07089063 Rev. Unión Mat. Argent. 60, No. 1, 265-298 (2019). MSC: 16T 17B37 81R50 17B35 PDF BibTeX XML Cite \textit{Y. Shi}, Rev. Unión Mat. Argent. 60, No. 1, 265--298 (2019; Zbl 07089063) Full Text: Link
Chen, Haibo; Dai, Xiansheng; Yang, Hengyun Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras. (English) Zbl 07085393 Front. Math. China 14, No. 2, 239-260 (2019). MSC: 17B05 17B37 17B62 17B68 PDF BibTeX XML Cite \textit{H. Chen} et al., Front. Math. China 14, No. 2, 239--260 (2019; Zbl 07085393) Full Text: DOI
Chakraborty, Partha Sarathi; Saurabh, Bipul Gelfand-Kirillov dimension of the quantized algebra of regular functions on homogeneous spaces. (English) Zbl 1452.16023 Proc. Am. Math. Soc. 147, No. 8, 3289-3302 (2019). MSC: 16P90 17B37 20G42 PDF BibTeX XML Cite \textit{P. S. Chakraborty} and \textit{B. Saurabh}, Proc. Am. Math. Soc. 147, No. 8, 3289--3302 (2019; Zbl 1452.16023) Full Text: DOI
Kožić, Slaven Quantum current algebras associated with rational \(R\)-matrix. (English) Zbl 07078831 Adv. Math. 351, 1072-1104 (2019). MSC: 17B37 17B69 PDF BibTeX XML Cite \textit{S. Kožić}, Adv. Math. 351, 1072--1104 (2019; Zbl 07078831) Full Text: DOI
Sinel’shchikov, Sergey The Laurent extension of quantum plane: a complete list of \(U_q(\mathfrak{sl}_2)\)-symmetries. (English) Zbl 1418.81044 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 038, 33 p. (2019). MSC: 81R50 17B37 81R05 17B35 16T05 PDF BibTeX XML Cite \textit{S. Sinel'shchikov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 038, 33 p. (2019; Zbl 1418.81044) Full Text: DOI
Brochier, Adrien Virtual tangles and fiber functors. (English) Zbl 07077037 J. Knot Theory Ramifications 28, No. 7, Article ID 1950044, 17 p. (2019). MSC: 57K16 17B37 57K12 PDF BibTeX XML Cite \textit{A. Brochier}, J. Knot Theory Ramifications 28, No. 7, Article ID 1950044, 17 p. (2019; Zbl 07077037) Full Text: DOI arXiv
Fan, Zhaobing; Li, Yiqiang Affine flag varieties and quantum symmetric pairs. II: Multiplication formula. (English) Zbl 07075984 J. Pure Appl. Algebra 223, No. 10, 4311-4347 (2019). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 20G25 14F43 PDF BibTeX XML Cite \textit{Z. Fan} and \textit{Y. Li}, J. Pure Appl. Algebra 223, No. 10, 4311--4347 (2019; Zbl 07075984) Full Text: DOI
Iohara, K.; Lehrer, G. I.; Zhang, R. B. Temperley-Lieb algebras at roots of unity, a fusion category and the Jones quotient. (English) Zbl 1448.17020 Math. Res. Lett. 26, No. 1, 121-158 (2019). MSC: 17B37 20C99 17B99 PDF BibTeX XML Cite \textit{K. Iohara} et al., Math. Res. Lett. 26, No. 1, 121--158 (2019; Zbl 1448.17020) Full Text: DOI
Zhang, Xiaohui; Guo, Shuangjian; Wang, Shengxiang Drinfeld codoubles of Hom-Hopf algebras. (English) Zbl 07068624 Adv. Appl. Clifford Algebr. 29, No. 2, Paper No. 36, 26 p. (2019). Reviewer: Ahmed Hegazi (Mansoura) MSC: 17B37 16T05 PDF BibTeX XML Cite \textit{X. Zhang} et al., Adv. Appl. Clifford Algebr. 29, No. 2, Paper No. 36, 26 p. (2019; Zbl 07068624) Full Text: DOI
Gilmartin, Paul A note on the order of the antipode of a pointed Hopf algebra. (English) Zbl 07068115 Commun. Algebra 47, No. 7, 2833-2842 (2019). MSC: 16T05 16T15 17B37 20G42 PDF BibTeX XML Cite \textit{P. Gilmartin}, Commun. Algebra 47, No. 7, 2833--2842 (2019; Zbl 07068115) Full Text: DOI arXiv
Schrader, Gus; Shapiro, Alexander A cluster realization of \(U_q(\mathfrak {sl}_{\mathfrak {n}})\) from quantum character varieties. (English) Zbl 1451.17006 Invent. Math. 216, No. 3, 799-846 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 13F60 14M35 PDF BibTeX XML Cite \textit{G. Schrader} and \textit{A. Shapiro}, Invent. Math. 216, No. 3, 799--846 (2019; Zbl 1451.17006) Full Text: DOI
Kang, Seok-Jin Borcherds-Bozec algebras, root multiplicities and the Schofield construction. (English) Zbl 07062263 Commun. Contemp. Math. 21, No. 3, Article ID 1850031, 38 p. (2019). MSC: 17B37 17B67 16G20 PDF BibTeX XML Cite \textit{S.-J. Kang}, Commun. Contemp. Math. 21, No. 3, Article ID 1850031, 38 p. (2019; Zbl 07062263) Full Text: DOI arXiv
Maulik, Davesh; Okounkov, Andrei Quantum groups and quantum cohomology. (English) Zbl 1422.14002 Astérisque 408. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-900-5/pbk). ix, 209 p. (2019). Reviewer: Mee Seong Im (New Windsor) MSC: 14-02 17-02 17B37 14N35 PDF BibTeX XML Cite \textit{D. Maulik} and \textit{A. Okounkov}, Quantum groups and quantum cohomology. Paris: Société Mathématique de France (SMF) (2019; Zbl 1422.14002) Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor; Zhang, Jian Quantum Howe duality and invariant polynomials. (English) Zbl 07060822 J. Algebra 530, 326-367 (2019). MSC: 17B37 20G42 PDF BibTeX XML Cite \textit{V. Futorny} et al., J. Algebra 530, 326--367 (2019; Zbl 07060822) Full Text: DOI
Arano, Yuki; De Commer, Kenny Torsion-freeness for fusion rings and tensor \(\mathrm C^*\)-categories. (English) Zbl 1447.16033 J. Noncommut. Geom. 13, No. 1, 35-58 (2019). MSC: 16T20 17B37 05C25 PDF BibTeX XML Cite \textit{Y. Arano} and \textit{K. De Commer}, J. Noncommut. Geom. 13, No. 1, 35--58 (2019; Zbl 1447.16033) Full Text: DOI
Gurevich, Dimitri; Saponov, Pavel Braided Yangians. (English) Zbl 1414.81136 J. Geom. Phys. 138, 124-143 (2019). MSC: 81R50 17B37 18D10 PDF BibTeX XML Cite \textit{D. Gurevich} and \textit{P. Saponov}, J. Geom. Phys. 138, 124--143 (2019; Zbl 1414.81136) Full Text: DOI arXiv
Gerber, Thomas Heisenberg algebra, wedges and crystals. (English) Zbl 07052600 J. Algebr. Comb. 49, No. 1, 99-124 (2019). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 05E10 20C08 PDF BibTeX XML Cite \textit{T. Gerber}, J. Algebr. Comb. 49, No. 1, 99--124 (2019; Zbl 07052600) Full Text: DOI arXiv
Çelik, Salih; Temli, İlknur Covariant differential calculus on \(\mathcal{SP}_h^{2|1}\). (English) Zbl 1435.81100 Turk. J. Math. 43, No. 2, 916-929 (2019). MSC: 81R50 81S10 46S50 17B37 16T05 17B66 81R20 PDF BibTeX XML Cite \textit{S. Çelik} and \textit{İ. Temli}, Turk. J. Math. 43, No. 2, 916--929 (2019; Zbl 1435.81100) Full Text: DOI
Oh, Se-jin Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality. (English) Zbl 07051972 Math. Z. 291, No. 1-2, 499-554 (2019). MSC: 17B37 05E10 16T30 81R50 PDF BibTeX XML Cite \textit{S.-j. Oh}, Math. Z. 291, No. 1--2, 499--554 (2019; Zbl 07051972) Full Text: DOI arXiv
Mudrov, Andrey I. Contravariant form on tensor product of highest weight modules. (English) Zbl 07051863 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 026, 10 p. (2019). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B10 17B20 17B35 PDF BibTeX XML Cite \textit{A. I. Mudrov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 026, 10 p. (2019; Zbl 07051863) Full Text: DOI arXiv
Zhang, Haicheng Toën’s formula and Green’s formula. (English) Zbl 07041658 J. Algebra 527, 196-203 (2019). MSC: 16G20 17B20 17B37 PDF BibTeX XML Cite \textit{H. Zhang}, J. Algebra 527, 196--203 (2019; Zbl 07041658) Full Text: DOI
Aizawa, N.; Isaac, P. S.; Segar, J. \(\mathbb{Z}_2 \times \mathbb{Z}_2\) generalizations of \(\mathcal{N} = 1\) superconformal Galilei algebras and their representations. (English) Zbl 1409.81053 J. Math. Phys. 60, No. 2, 023507, 11 p. (2019). MSC: 81R05 81Q60 17A70 17B70 17B35 81V70 15A75 30H20 PDF BibTeX XML Cite \textit{N. Aizawa} et al., J. Math. Phys. 60, No. 2, 023507, 11 p. (2019; Zbl 1409.81053) Full Text: DOI
Inoue, Rei; Lam, Thomas; Pylyavskyy, Pavlo On the cluster nature and quantization of geometric \(R\)-matrices. (English) Zbl 1442.13070 Publ. Res. Inst. Math. Sci. 55, No. 1, 25-78 (2019). MSC: 13F60 16T25 17B37 81R12 PDF BibTeX XML Cite \textit{R. Inoue} et al., Publ. Res. Inst. Math. Sci. 55, No. 1, 25--78 (2019; Zbl 1442.13070) Full Text: DOI arXiv
Terwilliger, Paul Using Catalan words and a \(q\)-shuffle algebra to describe a PBW basis for the positive part of \(U_q(\widehat{\mathfrak{sl}}_2)\). (English) Zbl 07034184 J. Algebra 525, 359-373 (2019). MSC: 17B37 05E15 PDF BibTeX XML Cite \textit{P. Terwilliger}, J. Algebra 525, 359--373 (2019; Zbl 07034184) Full Text: DOI arXiv