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
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
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
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
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
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
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
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
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
Cheng, Raymond; Jackson, David M.; Stanley, Geoff J. Combinatorial aspects of the quantized universal enveloping algebra of \(\mathfrak {sl}_{n+1}\). (English) Zbl 1403.05163 Ann. Comb. 22, No. 4, 681-710 (2018). MSC: 05E15 17B37 16T05 PDF BibTeX XML Cite \textit{R. Cheng} et al., Ann. Comb. 22, No. 4, 681--710 (2018; Zbl 1403.05163) Full Text: DOI
Eastwood, Michael A geometric proof of the Poincaré-Birkhoff-Witt theorem. (English) Zbl 1401.16027 São Paulo J. Math. Sci. 12, No. 2, 246-251 (2018). MSC: 16S30 17B37 PDF BibTeX XML Cite \textit{M. Eastwood}, São Paulo J. Math. Sci. 12, No. 2, 246--251 (2018; Zbl 1401.16027) Full Text: DOI
Zhu, Can; Wang, Yaxiu Realization of Poisson enveloping algebra. (English) Zbl 06947309 Front. Math. China 13, No. 4, 999-1011 (2018). MSC: 17B63 16E65 16S80 PDF BibTeX XML Cite \textit{C. Zhu} and \textit{Y. Wang}, Front. Math. China 13, No. 4, 999--1011 (2018; Zbl 06947309) Full Text: DOI
Khoroshkin, S.; Ogievetsky, O. Contravariant form for reduction algebras. (English) Zbl 1441.22021 J. Geom. Phys. 129, 99-116 (2018). MSC: 22E40 17B35 17B37 PDF BibTeX XML Cite \textit{S. Khoroshkin} and \textit{O. Ogievetsky}, J. Geom. Phys. 129, 99--116 (2018; Zbl 1441.22021) Full Text: DOI
Ogievetsky, O. V.; Herlemont, B. Rings of \(\mathbf h\)-deformed differential operators. (English. Russian original) Zbl 1382.16016 Theor. Math. Phys. 192, No. 2, 1218-1229 (2017); translation from Teor. Mat. Fiz. 192, No. 2, 322-334 (2017). MSC: 16S32 16T25 16S30 17B37 PDF BibTeX XML Cite \textit{O. V. Ogievetsky} and \textit{B. Herlemont}, Theor. Math. Phys. 192, No. 2, 1218--1229 (2017; Zbl 1382.16016); translation from Teor. Mat. Fiz. 192, No. 2, 322--334 (2017) Full Text: DOI
Gubarev, Vsevolod; Kolesnikov, Pavel Gröbner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra. (English) Zbl 1430.17013 J. Lie Theory 27, No. 3, 887-905 (2017). MSC: 17B01 17B37 PDF BibTeX XML Cite \textit{V. Gubarev} and \textit{P. Kolesnikov}, J. Lie Theory 27, No. 3, 887--905 (2017; Zbl 1430.17013) Full Text: Link
Khudaverdian, H. M.; Mkrtchyan, R. L. Universal volume of groups and anomaly of Vogel’s symmetry. (English) Zbl 1409.17003 Lett. Math. Phys. 107, No. 8, 1491-1514 (2017). MSC: 17B20 17B37 33E20 PDF BibTeX XML Cite \textit{H. M. Khudaverdian} and \textit{R. L. Mkrtchyan}, Lett. Math. Phys. 107, No. 8, 1491--1514 (2017; Zbl 1409.17003) Full Text: DOI
Dhillon, Gurbir; Khare, Apoorva Faces of highest weight modules and the universal Weyl polyhedron. (English) Zbl 1420.17007 Adv. Math. 319, 111-152 (2017). MSC: 17B10 17B67 22E47 17B37 20G42 52B20 PDF BibTeX XML Cite \textit{G. Dhillon} and \textit{A. Khare}, Adv. Math. 319, 111--152 (2017; Zbl 1420.17007) Full Text: DOI
Beisert, Niklas; Hecht, Reimar; Hoare, Ben Maximally extended \(\mathfrak{sl}(2|2)\), \(q\)-deformed \(\mathfrak{d}(2,1;\epsilon)\) and 3D kappa-Poincaré. (English) Zbl 1371.81175 J. Phys. A, Math. Theor. 50, No. 31, Article ID 314003, 25 p. (2017). MSC: 81R50 81R12 81U40 17B37 17A70 PDF BibTeX XML Cite \textit{N. Beisert} et al., J. Phys. A, Math. Theor. 50, No. 31, Article ID 314003, 25 p. (2017; Zbl 1371.81175) Full Text: DOI
Celik, Salih A new \(\mathbb{Z}_{3}\)-graded quantum group. (English) Zbl 1412.17008 J. Lie Theory 27, No. 2, 545-554 (2017). MSC: 17B37 17B35 PDF BibTeX XML Cite \textit{S. Celik}, J. Lie Theory 27, No. 2, 545--554 (2017; Zbl 1412.17008) Full Text: Link
Khovanov, Mikhail; Sussan, Joshua A categorification of the positive half of quantum \(gl(m|1)\). (English) Zbl 1388.16008 Trans. Am. Math. Soc. 369, No. 3, 1627-1664 (2017). Reviewer: Pere Ara (Bellaterra) MSC: 16E45 16E20 17B37 18A10 PDF BibTeX XML Cite \textit{M. Khovanov} and \textit{J. Sussan}, Trans. Am. Math. Soc. 369, No. 3, 1627--1664 (2017; Zbl 1388.16008) Full Text: DOI arXiv
Beisert, Niklas; de Leeuw, Marius; Hecht, Reimar Maximally extended \({\mathfrak{sl}}(2|2)\) as a quantum double. (English) Zbl 1357.81118 J. Phys. A, Math. Theor. 49, No. 43, Article ID 434005, 50 p. (2016). Reviewer: Jan E. Grabowski (Lancaster) MSC: 81R50 81T20 81T40 17B37 16T25 16T05 PDF BibTeX XML Cite \textit{N. Beisert} et al., J. Phys. A, Math. Theor. 49, No. 43, Article ID 434005, 50 p. (2016; Zbl 1357.81118) Full Text: DOI arXiv
Bhattacharya, Angshuman; Wang, Shuzhou Kirchberg’s factorization property for discrete quantum groups. (English) Zbl 1364.46062 Bull. Lond. Math. Soc. 48, No. 5, 866-876 (2016). MSC: 46L89 46L06 46L09 16T05 17B37 PDF BibTeX XML Cite \textit{A. Bhattacharya} and \textit{S. Wang}, Bull. Lond. Math. Soc. 48, No. 5, 866--876 (2016; Zbl 1364.46062) Full Text: DOI
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart Boundary quantum Knizhnik-Zamolodchikov equations and fusion. (English) Zbl 1347.81053 Ann. Henri Poincaré 17, No. 1, 137-177 (2016). Reviewer: Ahmed Hegazi (Mansoura) MSC: 81R50 17B37 22E47 16T25 81R12 81Q40 41A17 39A12 PDF BibTeX XML Cite \textit{N. Reshetikhin} et al., Ann. Henri Poincaré 17, No. 1, 137--177 (2016; Zbl 1347.81053) Full Text: DOI arXiv
Sinel’shchikov, S. Generic symmetries of the Laurent extension of quantum plane. (English) Zbl 1335.81097 J. Math. Phys. Anal. Geom. 11, No. 4, 333-358 (2015). MSC: 81R50 17B37 17B35 16T05 22E47 PDF BibTeX XML Cite \textit{S. Sinel'shchikov}, J. Math. Phys. Anal. Geom. 11, No. 4, 333--358 (2015; Zbl 1335.81097) Full Text: DOI
Bashkirov, Denis; Voronov, Alexander A. \(r_\infty\)-matrices, triangular \(L_\infty\)-bialgebras and quantum\(_\infty\) groups. (English) Zbl 1407.17015 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Cham: Birkhäuser/Springer. Trends Math., 39-47 (2015). Reviewer: Zhuo Chen (Beijing) MSC: 17B37 17B62 17B63 18G55 58A50 PDF BibTeX XML Cite \textit{D. Bashkirov} and \textit{A. A. Voronov}, in: Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 -- July 5, 2014. Cham: Birkhäuser/Springer. 39--47 (2015; Zbl 1407.17015) Full Text: DOI
Chirvasitu, Alexandru Categorical aspects of compact quantum groups. (English) Zbl 1317.18007 Appl. Categ. Struct. 23, No. 3, 381-413 (2015). Reviewer: L. N. Vaserstein (University Park) MSC: 18A40 17B37 58B32 18A25 18A30 PDF BibTeX XML Cite \textit{A. Chirvasitu}, Appl. Categ. Struct. 23, No. 3, 381--413 (2015; Zbl 1317.18007) Full Text: DOI arXiv
Karolinsky, E.; Stolin, A.; Tarasov, V. Equivariant quantization of Poisson homogeneous spaces and Kostant’s problem. (English) Zbl 1368.17018 J. Algebra 409, 362-381 (2014). MSC: 17B37 17B10 53D17 53D55 PDF BibTeX XML Cite \textit{E. Karolinsky} et al., J. Algebra 409, 362--381 (2014; Zbl 1368.17018) Full Text: DOI arXiv
Lamprou, Polyxeni Quantum generalized Harish-Chandra isomorphisms. (English) Zbl 1342.17010 J. Algebra 401, 144-160 (2014). MSC: 17B35 17B37 PDF BibTeX XML Cite \textit{P. Lamprou}, J. Algebra 401, 144--160 (2014; Zbl 1342.17010) Full Text: DOI
Yakimov, Milen Rigidity of quantum tori and the Andruskiewitsch-Dumas conjecture. (English) Zbl 1300.17014 Sel. Math., New Ser. 20, No. 2, 421-464 (2014). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 17B37 16W20 16T20 PDF BibTeX XML Cite \textit{M. Yakimov}, Sel. Math., New Ser. 20, No. 2, 421--464 (2014; Zbl 1300.17014) Full Text: DOI arXiv
Gao, Suogang; Zhang, Liwei; Hou, Bo The Terwilliger algebras of Johnson graphs. (English) Zbl 1282.05217 Linear Algebra Appl. 443, 164-183 (2014). MSC: 05E30 33D80 17B37 PDF BibTeX XML Cite \textit{S. Gao} et al., Linear Algebra Appl. 443, 164--183 (2014; Zbl 1282.05217) Full Text: DOI
L’Innocente, Sonia; Point, Françoise; Toffalori, Carlo Exponentiations over the quantum algebra \(U_q(\mathrm{sl}_2(\mathbb{C}))\). (English) Zbl 1323.03048 Confluentes Math. 5, No. 2, 45-69 (2013). MSC: 03C60 17B37 20G42 81R50 PDF BibTeX XML Cite \textit{S. L'Innocente} et al., Confluentes Math. 5, No. 2, 45--69 (2013; Zbl 1323.03048) Full Text: DOI
Terwilliger, Paul Finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules from the equitable point of view. (English) Zbl 1354.17012 Linear Algebra Appl. 439, No. 2, 358-400 (2013). MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{P. Terwilliger}, Linear Algebra Appl. 439, No. 2, 358--400 (2013; Zbl 1354.17012) Full Text: DOI arXiv
Gurevich, Dimitri; Saponov, Pavel Braided algebras and their applications to noncommutative geometry. (English) Zbl 1292.17011 Adv. Appl. Math. 51, No. 2, 228-253 (2013). MSC: 17B37 16T25 17B35 58B34 81R10 PDF BibTeX XML Cite \textit{D. Gurevich} and \textit{P. Saponov}, Adv. Appl. Math. 51, No. 2, 228--253 (2013; Zbl 1292.17011) Full Text: DOI
Fu, Qiang Integral affine Schur-Weyl reciprocity. (English) Zbl 1322.17008 Adv. Math. 243, 1-21 (2013). MSC: 17B37 17B35 17B67 20C08 20G43 PDF BibTeX XML Cite \textit{Q. Fu}, Adv. Math. 243, 1--21 (2013; Zbl 1322.17008) Full Text: DOI arXiv
Cautis, Sabin; Kamnitzer, Joel; Licata, Anthony Coherent sheaves on quiver varieties and categorification. (English) Zbl 1284.14016 Math. Ann. 357, No. 3, 805-854 (2013). Reviewer: Alfonso Zamora (Lisboa) MSC: 14D21 17B37 16G20 17B67 16E20 PDF BibTeX XML Cite \textit{S. Cautis} et al., Math. Ann. 357, No. 3, 805--854 (2013; Zbl 1284.14016) Full Text: DOI arXiv
Banica, Teodor; Skalski, Adam Quantum symmetry groups of \(C^*\)-algebras equipped with orthogonal filtrations. (English) Zbl 1276.46057 Proc. Lond. Math. Soc. (3) 106, No. 5, 980-1004 (2013). MSC: 46L65 16T05 46L54 17B37 PDF BibTeX XML Cite \textit{T. Banica} and \textit{A. Skalski}, Proc. Lond. Math. Soc. (3) 106, No. 5, 980--1004 (2013; Zbl 1276.46057) Full Text: DOI arXiv
Suzuki, Sakie On the universal \(sl_2\) invariant of Brunnian bottom tangles. (English) Zbl 1310.57031 Math. Proc. Camb. Philos. Soc. 154, No. 1, 127-143 (2013). Reviewer: Kazuo Habiro (Kyoto) MSC: 57M27 57M25 PDF BibTeX XML Cite \textit{S. Suzuki}, Math. Proc. Camb. Philos. Soc. 154, No. 1, 127--143 (2013; Zbl 1310.57031) Full Text: DOI arXiv
Lehrer, G. I.; Zhang, R. B. Quantum group actions on rings and equivariant \(K\)-theory. (English) Zbl 1331.19005 Ariki, Susumu (ed.) et al., Algebraic groups and quantum groups. International conference on representation theory of algebraic groups and quantum groups ’10, Graduate School of Mathematics, Nagoya University, Nagoya, Japan, August 2–6, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5317-7/pbk; 978-0-8218-8536-9/ebook). Contemporary Mathematics 565, 115-141 (2012). Reviewer: Albert Sheu (Lawrence) MSC: 19L47 20G42 17B37 58B32 81R50 PDF BibTeX XML Cite \textit{G. I. Lehrer} and \textit{R. B. Zhang}, Contemp. Math. 565, 115--141 (2012; Zbl 1331.19005)
Zheng, Zhiming; Lin, Weiqiang A contraction Lie algebra of a quantum torus and its derivations and universal central extension. (Chinese. English summary) Zbl 1274.17040 J. Zhangzhou Norm. Univ., Nat. Sci. 25, No. 2, 9-17 (2012). MSC: 17B68 17B37 17B40 PDF BibTeX XML Cite \textit{Z. Zheng} and \textit{W. Lin}, J. Zhangzhou Norm. Univ., Nat. Sci. 25, No. 2, 9--17 (2012; Zbl 1274.17040)
Shakalli, Jeanette Deformations of quantum symmetric algebras extended by groups. (English) Zbl 1268.16029 J. Algebra 370, 79-99 (2012). MSC: 16S80 16S40 16T05 17B37 16E40 16S35 PDF BibTeX XML Cite \textit{J. Shakalli}, J. Algebra 370, 79--99 (2012; Zbl 1268.16029) Full Text: DOI arXiv
Saito, Yoshihisa Mirković-Vilonen polytopes and a quiver construction of crystal basis in type A. (English) Zbl 1326.17015 Int. Math. Res. Not. 2012, No. 17, 3877-3928 (2012). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 52B12 PDF BibTeX XML Cite \textit{Y. Saito}, Int. Math. Res. Not. 2012, No. 17, 3877--3928 (2012; Zbl 1326.17015) Full Text: DOI arXiv
Khoroshkin, Sergey; Nazarov, Maxim Mickelsson algebras and representations of Yangians. (English) Zbl 1244.17009 Trans. Am. Math. Soc. 364, No. 3, 1293-1367 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B35 17B37 PDF BibTeX XML Cite \textit{S. Khoroshkin} and \textit{M. Nazarov}, Trans. Am. Math. Soc. 364, No. 3, 1293--1367 (2012; Zbl 1244.17009) Full Text: DOI arXiv
Škoda, Zoran Heisenberg double versus deformed derivatives. (English) Zbl 1263.81224 Int. J. Mod. Phys. A 26, No. 27-28, 4845-4854 (2011). MSC: 81R60 17B37 81R50 16T05 22E70 PDF BibTeX XML Cite \textit{Z. Škoda}, Int. J. Mod. Phys. A 26, No. 27--28, 4845--4854 (2011; Zbl 1263.81224) Full Text: DOI arXiv
Varagnolo, M.; Vasserot, E. Canonical bases and KLR-algebras. (English) Zbl 1229.17019 J. Reine Angew. Math. 659, 67-100 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 16E30 PDF BibTeX XML Cite \textit{M. Varagnolo} and \textit{E. Vasserot}, J. Reine Angew. Math. 659, 67--100 (2011; Zbl 1229.17019) Full Text: DOI arXiv
Geiß, Christof; Leclerc, Bernard; Schröer, Jan Kac-Moody groups and cluster algebras. (English) Zbl 1232.17035 Adv. Math. 228, No. 1, 329-433 (2011). Reviewer: Robert Marsh (Leeds) MSC: 17B67 13F60 14M99 16G20 17B35 17B37 20G05 22E67 81R10 PDF BibTeX XML Cite \textit{C. Geiß} et al., Adv. Math. 228, No. 1, 329--433 (2011; Zbl 1232.17035) Full Text: DOI
Zuevsky, A. \(U_q(\tilde {\mathcal G})\) Heisenberg families. (English) Zbl 1258.17021 J. Nonlinear Math. Phys. 18, No. 1, 55-64 (2011). MSC: 17B37 PDF BibTeX XML Cite \textit{A. Zuevsky}, J. Nonlinear Math. Phys. 18, No. 1, 55--64 (2011; Zbl 1258.17021) Full Text: DOI
Drupieski, Christopher M. Representations and cohomology for Frobenius-Lusztig kernels. (English) Zbl 1242.17014 J. Pure Appl. Algebra 215, No. 6, 1473-1491 (2011). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B10 17B56 20G05 20G10 20G42 PDF BibTeX XML Cite \textit{C. M. Drupieski}, J. Pure Appl. Algebra 215, No. 6, 1473--1491 (2011; Zbl 1242.17014) Full Text: DOI arXiv
Du, Jie; Fu, Qiang Quantum \(\mathfrak{gl}_n\), \(q\)-Schur algebras and their infinite/infinitesimal counterparts. (English) Zbl 1242.17015 Gyoja, Akihiko (ed.) et al., Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Boston, MA: Birkhäuser (ISBN 978-0-8176-4696-7/hbk; 978-0-8176-4697-4/ebook). Progress in Mathematics 284, 93-119 (2010). Reviewer: Stuart Martin (Cambridge) MSC: 17B37 17B35 20G43 17B20 PDF BibTeX XML Cite \textit{J. Du} and \textit{Q. Fu}, Prog. Math. 284, 93--119 (2010; Zbl 1242.17015) Full Text: DOI
Duplij, S.; Sinel’shchikov, S. Classification of \(U_q({\mathfrak{sl}}_2)\)-module algebra structures on the quantum plane. (English) Zbl 1273.17017 J. Math. Phys. Anal. Geom. 6, No. 4, 406-430 (2010). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B37 16T20 58B34 PDF BibTeX XML Cite \textit{S. Duplij} and \textit{S. Sinel'shchikov}, J. Math. Phys. Anal. Geom. 6, No. 4, 406--430 (2010; Zbl 1273.17017) Full Text: Link
Khoroshkin, S.; Shapiro, A. The weight function for the quantum affine algebra \(U_q(A_2^{(2)})\). (English) Zbl 1262.17007 J. Geom. Phys. 60, No. 11, 1833-1851 (2010). Reviewer: Benoît Collins (Ottawa) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{S. Khoroshkin} and \textit{A. Shapiro}, J. Geom. Phys. 60, No. 11, 1833--1851 (2010; Zbl 1262.17007) Full Text: DOI arXiv
Yakimov, Milen Invariant prime ideals in quantizations of nilpotent Lie algebras. (English) Zbl 1229.17020 Proc. Lond. Math. Soc. (3) 101, No. 2, 454-476 (2010). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 16T20 53D17 14M15 PDF BibTeX XML Cite \textit{M. Yakimov}, Proc. Lond. Math. Soc. (3) 101, No. 2, 454--476 (2010; Zbl 1229.17020) Full Text: DOI arXiv
Burdík, Čestmír; Navrátil, Ondřej Decomposition of the enveloping algebra \(\text{so}(5)\). (English) Zbl 1160.17006 Silvestrov, Sergeĭ (ed.) et al., Generalized Lie theory in mathematics, physics and beyond. Berlin: Springer (ISBN 978-3-540-85331-2/hbk). 297-302 (2009). MSC: 17B10 17B37 PDF BibTeX XML Cite \textit{Č. Burdík} and \textit{O. Navrátil}, in: Generalized Lie theory in mathematics, physics and beyond. Berlin: Springer. 297--302 (2009; Zbl 1160.17006) Full Text: DOI
Doty, Stephen Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras. (English) Zbl 1205.17016 J. Algebra 321, No. 4, 1225-1238 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 20G43 PDF BibTeX XML Cite \textit{S. Doty}, J. Algebra 321, No. 4, 1225--1238 (2009; Zbl 1205.17016) Full Text: DOI arXiv
Tan, Kai Meng Beyond Rouquier partitions. (English) Zbl 1156.17004 J. Algebra 321, No. 1, 248-263 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B35 20C08 PDF BibTeX XML Cite \textit{K. M. Tan}, J. Algebra 321, No. 1, 248--263 (2009; Zbl 1156.17004) Full Text: DOI arXiv
Tang, Xin Construct irreducible representations of quantum groups \(U_q (f_m (K))\). (English) Zbl 1183.17007 Front. Math. China 3, No. 3, 371-397 (2008). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B35 17B10 16T05 16T20 16D60 16D25 PDF BibTeX XML Cite \textit{X. Tang}, Front. Math. China 3, No. 3, 371--397 (2008; Zbl 1183.17007) Full Text: DOI
Deng, Bangming; Du, Jie; Parshall, Brian; Wang, Jianpan Finite dimensional algebras and quantum groups. (English) Zbl 1154.17003 Mathematical Surveys and Monographs 150. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4186-0/hbk). xxv, 759 p. (2008). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 17-02 16-02 16T05 17B20 16G20 20C30 20C08 PDF BibTeX XML Cite \textit{B. Deng} et al., Finite dimensional algebras and quantum groups. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1154.17003)
Enriquez, B.; Khoroshkin, S.; Pakuliak, S. Weight functions and Drinfeld currents. (English) Zbl 1140.17010 Commun. Math. Phys. 276, No. 3, 691-725 (2007). Reviewer: Valentina Golubeva (Moskva) MSC: 17B37 81R10 81R12 PDF BibTeX XML Cite \textit{B. Enriquez} et al., Commun. Math. Phys. 276, No. 3, 691--725 (2007; Zbl 1140.17010) Full Text: DOI
Aubriot, Thomas Classification of Galois objects of \(U_{q}(\mathfrak g)\) up to homotopy. (English) Zbl 1131.17004 Commun. Algebra 35, No. 12, 3919-3936 (2007). Reviewer: Earl J. Taft (New Brunswick) MSC: 17B37 16W30 PDF BibTeX XML Cite \textit{T. Aubriot}, Commun. Algebra 35, No. 12, 3919--3936 (2007; Zbl 1131.17004) Full Text: DOI arXiv
Geer, Nathan Some remarks on quantized Lie superalgebras of classical type. (English) Zbl 1136.17017 J. Algebra 314, No. 2, 565-580 (2007). Reviewer: Sonia Natale (Cordoba) MSC: 17B62 17B35 17B37 16W30 PDF BibTeX XML Cite \textit{N. Geer}, J. Algebra 314, No. 2, 565--580 (2007; Zbl 1136.17017) Full Text: DOI arXiv
Jakelić, Dijana On crystal bases and Enright’s completions. (English) Zbl 1173.17015 J. Algebra 312, No. 1, 111-131 (2007). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{D. Jakelić}, J. Algebra 312, No. 1, 111--131 (2007; Zbl 1173.17015) Full Text: DOI arXiv
Brundan, Jonathan; Goodwin, Simon M. Good grading polytopes. (English) Zbl 1120.17007 Proc. Lond. Math. Soc. (3) 94, No. 1, 155-180 (2007). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B20 17B37 17B35 PDF BibTeX XML Cite \textit{J. Brundan} and \textit{S. M. Goodwin}, Proc. Lond. Math. Soc. (3) 94, No. 1, 155--180 (2007; Zbl 1120.17007) Full Text: DOI arXiv
De Concini, Corrado Hopf algebras with trace and Clebsch-Gordan coefficients. (English) Zbl 1163.17301 Zannier, Umberto (ed.), Colloquium De Giorgi 2006, Pisa, Italy. Pisa: Edizioni della Normale (ISBN 978-88-7642-212-6/pbk). Colloquia 1, 9-17 (2006). MSC: 17B37 16W30 16W35 PDF BibTeX XML Cite \textit{C. De Concini}, Colloquia 1, 9--17 (2006; Zbl 1163.17301)
Lehrer, G. I.; Zhang, R. B. Strongly multiplicity free modules for Lie algebras and quantum groups. (English) Zbl 1169.17003 J. Algebra 306, No. 1, 138-174 (2006). MSC: 17B10 17B37 20G42 PDF BibTeX XML Cite \textit{G. I. Lehrer} and \textit{R. B. Zhang}, J. Algebra 306, No. 1, 138--174 (2006; Zbl 1169.17003) Full Text: DOI
Chin, William; Krop, Leonid Spectra of quantized hyperalgebras. (English) Zbl 1102.17008 Trans. Am. Math. Soc. 358, No. 10, 4553-4567 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B35 17B37 17B20 16W35 16D25 PDF BibTeX XML Cite \textit{W. Chin} and \textit{L. Krop}, Trans. Am. Math. Soc. 358, No. 10, 4553--4567 (2006; Zbl 1102.17008) Full Text: DOI arXiv
Karolinsky, Eugene; Stolin, Alexander; Tarasov, Vitaly Dynamical Yang-Baxter equation and quantization of certain Poisson brackets. (English) Zbl 1103.17004 Fuchs, Jürgen (ed.) et al., Noncommutative geometry and representation theory in mathematical physics. Satellite conference to the fourth European congress of mathematics, July 5–10, 2004, Karlstad, Sweden. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3718-4/pbk). Contemporary Mathematics 391, 175-182 (2005). Reviewer: Albert Sheu (Lawrence) MSC: 17B37 17B35 53D55 81R50 58B32 PDF BibTeX XML Cite \textit{E. Karolinsky} et al., Contemp. Math. 391, 175--182 (2005; Zbl 1103.17004)
Bershtein, Olga Regular functions on the Shilov boundary. (English) Zbl 1103.17003 J. Algebra Appl. 4, No. 6, 613-629 (2005). Reviewer: Albert Sheu (Lawrence) MSC: 17B37 20G42 58B32 32M15 PDF BibTeX XML Cite \textit{O. Bershtein}, J. Algebra Appl. 4, No. 6, 613--629 (2005; Zbl 1103.17003) Full Text: DOI arXiv
Kashaev, R.; Reshetikhin, N. Invariants of tangles with flat connections in their complements. (English) Zbl 1083.57018 Lyubich, Mikhail (ed.) et al., Graphs and patterns in mathematics and theoretical physics. Proceedings of the conference dedicated to Dennis Sullivan’s 60th birthday, June 14–21, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3666-8/hbk). Proceedings of Symposia in Pure Mathematics 73, 151-172 (2005). Reviewer: Claus Ernst (Bowling Green) MSC: 57M27 57R56 20G42 18D10 PDF BibTeX XML Cite \textit{R. Kashaev} and \textit{N. Reshetikhin}, Proc. Symp. Pure Math. 73, 151--172 (2005; Zbl 1083.57018) Full Text: arXiv
Fauquant-Millet, Florence; Joseph, Anthony Semicentre of the enveloping algebra of a parabolic subalgebra of a semisimple Lie algebra. (Semi-centre de l’algèbre enveloppante d’une sous-algèbre parabolique d’une algèbre de Lie semi-simple.) (French) Zbl 1158.17002 Ann. Sci. Éc. Norm. Supér. (4) 38, No. 2, 155-191 (2005). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B35 17B20 17B37 PDF BibTeX XML Cite \textit{F. Fauquant-Millet} and \textit{A. Joseph}, Ann. Sci. Éc. Norm. Supér. (4) 38, No. 2, 155--191 (2005; Zbl 1158.17002) Full Text: DOI Numdam EuDML
Oshima, Toshio A quantization of conjugacy classes of matrices. (English) Zbl 1101.17005 Adv. Math. 196, No. 1, 124-146 (2005). Reviewer: Annegret Paul (Kalamazoo) MSC: 17B35 17B37 17B10 22E47 15A21 PDF BibTeX XML Cite \textit{T. Oshima}, Adv. Math. 196, No. 1, 124--146 (2005; Zbl 1101.17005) Full Text: DOI
De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M. Hopf algebras with trace and representations. (English) Zbl 1132.17007 Invent. Math. 161, No. 1, 1-44 (2005). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 16W30 16W35 PDF BibTeX XML Cite \textit{C. De Concini} et al., Invent. Math. 161, No. 1, 1--44 (2005; Zbl 1132.17007) Full Text: DOI
Nakajima, Hiraku Extremal weight modules of quantum affine algebra. (English) Zbl 1088.17008 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 343-369 (2004). Reviewer: Duncan J. Melville (Canton) MSC: 17B10 17B37 17B67 PDF BibTeX XML Cite \textit{H. Nakajima}, Adv. Stud. Pure Math. 40, 343--369 (2004; Zbl 1088.17008) Full Text: arXiv
Gorelik, Maria The Kac construction of the centre of \(U({\mathfrak g})\) for Lie superalgebras. (English) Zbl 1086.17007 J. Nonlinear Math. Phys. 11, No. 3, 325-349 (2004). Reviewer: Vesselin Drensky (Sofia) MSC: 17B35 17B37 17B20 PDF BibTeX XML Cite \textit{M. Gorelik}, J. Nonlinear Math. Phys. 11, No. 3, 325--349 (2004; Zbl 1086.17007) Full Text: DOI
Nazarov, Maxim Representations of twisted Yangians associated with skew Young diagrams. (English) Zbl 1055.17004 Sel. Math., New Ser. 10, No. 1, 71-129 (2004). Reviewer: Li Fang (Hangzhou) MSC: 17B35 17B37 20C30 22E46 81R50 PDF BibTeX XML Cite \textit{M. Nazarov}, Sel. Math., New Ser. 10, No. 1, 71--129 (2004; Zbl 1055.17004) Full Text: DOI arXiv
Koelink, Erik; Kustermans, Johan Quantum \(\widetilde{\text{SU}}(1,1)\) and its Pontryagin dual. (English) Zbl 1178.17015 Vainerman, Leonid (ed.), Locally compact quantum groups and groupoids. Proceedings of the 69th meeting of theoretical physicists and mathematicians, Strasbourg, France, February 21–23, 2002. Berlin: Walter de Gruyter (ISBN 3-11-017690-4/pbk). IRMA Lect. Math. Theor. Phys. 2, 49-77 (2003). MSC: 17B37 22D20 46L65 PDF BibTeX XML Cite \textit{E. Koelink} and \textit{J. Kustermans}, IRMA Lect. Math. Theor. Phys. 2, 49--77 (2003; Zbl 1178.17015)
Ananikyan, D. N.; Kulish, P. P.; Lyakhovskiĭ, V. D. Full chains of twists for symplectic algebras. (English. Russian original) Zbl 1036.17011 St. Petersbg. Math. J. 14, No. 3, 385-404 (2003); translation from Algebra Anal. 14, No. 3, 27-54 (2002). Reviewer: Sorin Dascalescu (Safat) MSC: 17B35 17B37 81R25 16W30 PDF BibTeX XML Cite \textit{D. N. Ananikyan} et al., St. Petersbg. Math. J. 14, No. 3, 27--54 (2003; Zbl 1036.17011); translation from Algebra Anal. 14, No. 3, 27--54 (2002)
Premat, Alejandra Young diagrams and the image of the Kashiwara embedding for \({\mathcal U}_{q}(\widehat{\mathfrak{sl}}(n))\). (English) Zbl 1039.17019 J. Algebra 267, No. 2, 673-724 (2003). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 PDF BibTeX XML Cite \textit{A. Premat}, J. Algebra 267, No. 2, 673--724 (2003; Zbl 1039.17019) Full Text: DOI
Rozhkovskaya, N. Commutativity of quantum family algebras. (English) Zbl 1125.17312 Lett. Math. Phys. 63, No. 2, 87-103 (2003). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{N. Rozhkovskaya}, Lett. Math. Phys. 63, No. 2, 87--103 (2003; Zbl 1125.17312) Full Text: DOI
Enriquez, Benjamin; Halbout, Gilles An \(\hbar\)-adic valuation property of universal \(R\)-matrices. (English) Zbl 1015.17008 J. Algebra 261, No. 2, 434-447 (2003). Reviewer: Sorin Dascalescu (Safat) MSC: 17B37 17B62 PDF BibTeX XML Cite \textit{B. Enriquez} and \textit{G. Halbout}, J. Algebra 261, No. 2, 434--447 (2003; Zbl 1015.17008) Full Text: DOI
Lyakhovsky, V. D.; Samsonov, M. E. Elementary parabolic twist. (English) Zbl 1022.17012 J. Algebra Appl. 1, No. 4, 413-424 (2002). MSC: 17B37 20G42 PDF BibTeX XML Cite \textit{V. D. Lyakhovsky} and \textit{M. E. Samsonov}, J. Algebra Appl. 1, No. 4, 413--424 (2002; Zbl 1022.17012) Full Text: DOI
Kang, Seok-Jin; Kwon, Jae-Hoon Quantum affine algebras, combinatorics of Young walls, and global bases. (English) Zbl 1030.17012 Electron. Res. Announc. Am. Math. Soc. 8, 35-46 (2002). MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{S.-J. Kang} and \textit{J.-H. Kwon}, Electron. Res. Announc. Am. Math. Soc. 8, 35--46 (2002; Zbl 1030.17012) Full Text: DOI EuDML
Donin, J.; Mudrov, A. Explicit equivariant quantization on coadjoint orbits of \(\text{GL}(n,\mathbb C)\). (English) Zbl 1030.53090 Lett. Math. Phys. 62, No. 1, 17-32 (2002). Reviewer: Ioan Pop (Iaşi) MSC: 53D55 17B37 81R50 PDF BibTeX XML Cite \textit{J. Donin} and \textit{A. Mudrov}, Lett. Math. Phys. 62, No. 1, 17--32 (2002; Zbl 1030.53090) Full Text: DOI arXiv
Saito, Yoshihisa Crystal bases and quiver varieties. (English) Zbl 1041.17018 Math. Ann. 324, No. 4, 675-688 (2002). Reviewer: Li Fang (Hangzhou) MSC: 17B37 17B35 16G20 PDF BibTeX XML Cite \textit{Y. Saito}, Math. Ann. 324, No. 4, 675--688 (2002; Zbl 1041.17018) Full Text: DOI arXiv
Oh, Sei-Qwon; Park, Chun-Gil; Shin, Yong-Yeon A Poincaré-Birkhoff-Witt theorem for Poisson enveloping algebras. (English) Zbl 1023.17014 Commun. Algebra 30, No. 10, 4767-4887 (2002). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B63 17A30 17B35 16S30 16D80 17B37 16W35 PDF BibTeX XML Cite \textit{S.-Q. Oh} et al., Commun. Algebra 30, No. 10, 4767--4887 (2002; Zbl 1023.17014) Full Text: DOI
Raghavan, K. N.; Sankaran, P. Dual standard monomial theoretic and canonical bases for type \(A\). (English) Zbl 1039.17020 J. Algebra 251, No. 2, 560-576 (2002). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 17B10 05E10 PDF BibTeX XML Cite \textit{K. N. Raghavan} and \textit{P. Sankaran}, J. Algebra 251, No. 2, 560--576 (2002; Zbl 1039.17020) Full Text: DOI
Somberg, Petr Crystallizing patterns of BGG sequences. (English) Zbl 1185.17016 Slovák, Jan (ed.) et al., The proceedings of the 21th winter school “Geometry and physics”, Srní, Czech Republic, January 13–20, 2001. Palermo: Circolo Matemàtico di Palermo. Suppl. Rend. Circ. Mat. Palermo, II. Ser. 69, 233-243 (2002). MSC: 17B37 17B10 17B05 PDF BibTeX XML Cite \textit{P. Somberg}, in: The proceedings of the 21st winter school ``Geometry and physics'', Srní, Czech Republic, January 13--20, 2001. Palermo: Circolo Matemàtico di Palermo. 233--243 (2002; Zbl 1185.17016) Full Text: Link
Molev, A. I. Irreducibility criterion for tensor products of Yangian evaluation modules. (English) Zbl 1035.17025 Duke Math. J. 112, No. 2, 307-341 (2002). Reviewer: Mirko Primc (Zagreb) MSC: 17B37 PDF BibTeX XML Cite \textit{A. I. Molev}, Duke Math. J. 112, No. 2, 307--341 (2002; Zbl 1035.17025) Full Text: DOI arXiv
Lanzmann, Emmanuel The Zhang transformation and \({\mathcal U}_q(\text{osp}(1,2l))\)-Verma modules annihilators. (English) Zbl 1005.17012 Algebr. Represent. Theory 5, No. 3, 235-258 (2002). Reviewer: Earl J.Taft (New Brunswick) MSC: 17B37 17B35 PDF BibTeX XML Cite \textit{E. Lanzmann}, Algebr. Represent. Theory 5, No. 3, 235--258 (2002; Zbl 1005.17012) Full Text: DOI arXiv
Wagner, Elmar Hilbert space representations of some quantum algebras. (English) Zbl 0998.81041 Leipzig: Univ. Leipzig, Fakultät Mathematik/ Informatik, 108 p. (2002). MSC: 81T05 81R50 46L05 46L06 46L45 46L87 PDF BibTeX XML Cite \textit{E. Wagner}, Hilbert space representations of some quantum algebras. Leipzig: Univ. Leipzig, Fakultät Mathematik/ Informatik (2002; Zbl 0998.81041)
Nazarov, Maxim Representations of Yangians associated with skew Young diagrams. (English) Zbl 1013.17005 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 643-654 (2002). MSC: 17B35 17B37 20C30 22E46 PDF BibTeX XML Cite \textit{M. Nazarov}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 643--654 (2002; Zbl 1013.17005) Full Text: arXiv
Joseph, Anthony; Todorić, Dragana On the quantum KPRV determinants for semisimple and affine Lie algebras. (English) Zbl 1043.17008 Algebr. Represent. Theory 5, No. 1, 57-99 (2002). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B35 17B67 PDF BibTeX XML Cite \textit{A. Joseph} and \textit{D. Todorić}, Algebr. Represent. Theory 5, No. 1, 57--99 (2002; Zbl 1043.17008) Full Text: DOI
Kulish, P. P.; Mudrov, A. I. Quantization of inhomogeneous Lie bialgebras. (English) Zbl 1027.17014 J. Geom. Phys. 42, No. 1-2, 64-77 (2002). MSC: 17B37 81S10 16W30 81R50 17B62 PDF BibTeX XML Cite \textit{P. P. Kulish} and \textit{A. I. Mudrov}, J. Geom. Phys. 42, No. 1--2, 64--77 (2002; Zbl 1027.17014) Full Text: DOI
Praton, Iwan A note on Weyl groups and the quantum translation principle for root systems of classical type. (English) Zbl 1013.17015 Commun. Algebra 30, No. 4, 1887-1901 (2002). MSC: 17B37 17B10 22E46 PDF BibTeX XML Cite \textit{I. Praton}, Commun. Algebra 30, No. 4, 1887--1901 (2002; Zbl 1013.17015) Full Text: DOI
Caldero, Philippe On harmonic elements for semi-simple Lie algebras. (English) Zbl 0997.17009 Adv. Math. 166, No. 1, 73-99 (2002). Reviewer: Richard M.Green (Lancaster) MSC: 17B37 17B35 PDF BibTeX XML Cite \textit{P. Caldero}, Adv. Math. 166, No. 1, 73--99 (2002; Zbl 0997.17009) Full Text: DOI arXiv
Arnaudon, D.; Avan, J.; Frappat, L.; Ragoucy, E. Yangian and quantum universal solutions of Gervais-Neveu-Felder equations. (English) Zbl 1029.17013 Commun. Math. Phys. 226, No. 1, 183-203 (2002). Reviewer: Ahmed Hegazi (Mansoura) MSC: 17B37 81Q50 16W30 PDF BibTeX XML Cite \textit{D. Arnaudon} et al., Commun. Math. Phys. 226, No. 1, 183--203 (2002; Zbl 1029.17013) Full Text: DOI arXiv
Majid, Shahn A quantum groups primer. (English) Zbl 1037.17014 London Mathematical Society Lecture Note Series 292. Cambridge: Cambridge University Press (ISBN 0-521-01041-1/pbk). x, 169 p. (2002). Reviewer: Tomasz Brzeziński (Swansea) MSC: 17B37 58B32 16W30 17-01 PDF BibTeX XML Cite \textit{S. Majid}, A quantum groups primer. Cambridge: Cambridge University Press (2002; Zbl 1037.17014)
Ponsot, B.; Teschner, J. Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\). (English) Zbl 1010.33013 Commun. Math. Phys. 224, No. 3, 613-655 (2001). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33D80 17B37 81Q50 PDF BibTeX XML Cite \textit{B. Ponsot} and \textit{J. Teschner}, Commun. Math. Phys. 224, No. 3, 613--655 (2002; Zbl 1010.33013) Full Text: DOI arXiv
Klimyk, A. U. The nonstandard \(q\)-deformation of enveloping algebra \(U(so_n)\) related to quantum gravity. (English) Zbl 1063.81068 Nauk. Zap., Kyïv 2001, No. 19, 13-19 (2001). MSC: 81R50 81R15 17B37 16W30 22E70 16S30 PDF BibTeX XML Cite \textit{A. U. Klimyk}, Nauk. Zap., Kyïv 2001, No. 19, 13--19 (2001; Zbl 1063.81068)
Nakajima, Hiraku Quiver varieties and tensor products. (English) Zbl 1023.17008 Invent. Math. 146, No. 2, 399-449 (2001). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{H. Nakajima}, Invent. Math. 146, No. 2, 399--449 (2001; Zbl 1023.17008) Full Text: DOI arXiv
Jara, P.; Jódar, J. \(\mathcal U_q(\operatorname{sl}(2))\) satisfies a Bernstein duality. (English) Zbl 1017.17014 J. Symb. Comput. 32, No. 6, 687-698 (2001). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17B37 17B35 16W35 17B10 PDF BibTeX XML Cite \textit{P. Jara} and \textit{J. Jódar}, J. Symb. Comput. 32, No. 6, 687--698 (2001; Zbl 1017.17014) Full Text: DOI
Li, Libin; Zhang, Pu Weight property for ideals of \(U_q(\text{sl}(2))\). (English) Zbl 0989.17008 Commun. Algebra 29, No. 11, 4853-4870 (2001). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 17B35 PDF BibTeX XML Cite \textit{L. Li} and \textit{P. Zhang}, Commun. Algebra 29, No. 11, 4853--4870 (2001; Zbl 0989.17008) Full Text: DOI