Gürdoğan, Ömer; Parisi, Matteo Cluster patterns in Landau and leading singularities via the amplituhedron. (English) Zbl 1515.70039 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 10, No. 2, 299-336 (2023). MSC: 70S15 13F60 PDFBibTeX XMLCite \textit{Ö. Gürdoğan} and \textit{M. Parisi}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 10, No. 2, 299--336 (2023; Zbl 1515.70039) Full Text: DOI arXiv
Nakajima, Hiraku; Weekes, Alex Coulomb branches of quiver gauge theories with symmetrizers. (English) Zbl 1508.14011 J. Eur. Math. Soc. (JEMS) 25, No. 1, 203-230 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 14D21 16G20 17B37 81T13 PDFBibTeX XMLCite \textit{H. Nakajima} and \textit{A. Weekes}, J. Eur. Math. Soc. (JEMS) 25, No. 1, 203--230 (2023; Zbl 1508.14011) Full Text: DOI arXiv
Molev, A. I. Representations of the Yangians associated with Lie superalgebras \(\mathfrak{osp}(1|2n)\). (English) Zbl 1526.17029 Commun. Math. Phys. 398, No. 2, 541-571 (2023). MSC: 17B38 PDFBibTeX XMLCite \textit{A. I. Molev}, Commun. Math. Phys. 398, No. 2, 541--571 (2023; Zbl 1526.17029) Full Text: DOI
Na, Wang; Yang, Bai; Zhennan, Cui; Ke, Wu Symmetric functions and 3D fermion representation of \(W_{1+\infty}\) algebra. (English) Zbl 1507.05103 Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 3, 36 p. (2023). Reviewer: Sho Matsumoto (Kagoshima) MSC: 05E05 16G60 PDFBibTeX XMLCite \textit{W. Na} et al., Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 3, 36 p. (2023; Zbl 1507.05103) Full Text: DOI
Tarasov, Vitaly; Varchenko, Alexander Landau-Ginzburg mirror, quantum differential equations and qKZ difference equations for a partial flag variety. (English) Zbl 1512.14032 J. Geom. Phys. 184, Article ID 104711, 58 p. (2023). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 14N35 53D45 14D05 33C70 PDFBibTeX XMLCite \textit{V. Tarasov} and \textit{A. Varchenko}, J. Geom. Phys. 184, Article ID 104711, 58 p. (2023; Zbl 1512.14032) Full Text: DOI arXiv
Antonenko, Pavel V. The Gelfand-Tsetlin basis for infinite-dimensional representations of \(gl_n(\mathbb{C})\). (English) Zbl 1506.17007 J. Phys. A, Math. Theor. 55, No. 22, Article ID 225201, 43 p. (2022). MSC: 17B10 17B81 81R10 PDFBibTeX XMLCite \textit{P. V. Antonenko}, J. Phys. A, Math. Theor. 55, No. 22, Article ID 225201, 43 p. (2022; Zbl 1506.17007) Full Text: DOI arXiv
Stukopin, V. A. Quasitriangular structures on the super-Yangian and quantum loop superalgebra, and difference equations. (English. Russian original) Zbl 1516.17016 Theor. Math. Phys. 213, No. 1, 1423-1440 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 129-148 (2022). MSC: 17B37 17B67 17B10 39A10 16T25 81R10 PDFBibTeX XMLCite \textit{V. A. Stukopin}, Theor. Math. Phys. 213, No. 1, 1423--1440 (2022; Zbl 1516.17016); translation from Teor. Mat. Fiz. 213, No. 1, 129--148 (2022) Full Text: DOI
Ueda, Mamoru The surjectivity of the evaluation map of the affine super Yangian. (English) Zbl 1496.17012 Osaka J. Math. 59, No. 3, 481-493 (2022). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 16W55 PDFBibTeX XMLCite \textit{M. Ueda}, Osaka J. Math. 59, No. 3, 481--493 (2022; Zbl 1496.17012) Full Text: arXiv Link
Wendlandt, Curtis The formal shift operator on the Yangian double. (English) Zbl 1515.16030 Int. Math. Res. Not. 2022, No. 14, 10952-11010 (2022). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T20 16S30 16S80 16W50 PDFBibTeX XMLCite \textit{C. Wendlandt}, Int. Math. Res. Not. 2022, No. 14, 10952--11010 (2022; Zbl 1515.16030) Full Text: DOI arXiv
Molev, A. I. Odd reflections in the Yangian associated with \(\mathfrak{gl}(m|n)\). (English) Zbl 1485.17025 Lett. Math. Phys. 112, No. 1, Paper No. 8, 15 p. (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 PDFBibTeX XMLCite \textit{A. I. Molev}, Lett. Math. Phys. 112, No. 1, Paper No. 8, 15 p. (2022; Zbl 1485.17025) Full Text: DOI arXiv
Kodera, Ryosuke; Ueda, Mamoru Coproduct for affine Yangians and parabolic induction for rectangular \(W\)-algebras. (English) Zbl 1525.17013 Lett. Math. Phys. 112, No. 1, Paper No. 3, 37 p. (2022). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{R. Kodera} and \textit{M. Ueda}, Lett. Math. Phys. 112, No. 1, Paper No. 3, 37 p. (2022; Zbl 1525.17013) Full Text: DOI arXiv
Lu, Kang Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra. (English) Zbl 1511.17040 Lett. Math. Phys. 111, No. 6, Paper No. 145, 30 p. (2021). MSC: 17B37 81R10 PDFBibTeX XMLCite \textit{K. Lu}, Lett. Math. Phys. 111, No. 6, Paper No. 145, 30 p. (2021; Zbl 1511.17040) Full Text: DOI arXiv
Kodera, Ryosuke On Guay’s evaluation map for affine Yangians. (English) Zbl 1502.17010 Algebr. Represent. Theory 24, No. 1, 253-267 (2021); correction ibid. 24, No. 1, 269-272 (2021). MSC: 17B10 17B37 17B67 16T20 PDFBibTeX XMLCite \textit{R. Kodera}, Algebr. Represent. Theory 24, No. 1, 253--267 (2021; Zbl 1502.17010) 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
Liashyk, A.; Pakuliak, S. Z. Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models. (English. Russian original) Zbl 1467.81054 Theor. Math. Phys. 206, No. 1, 19-39 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 23-46 (2021). MSC: 81Q80 81Q40 82B23 81R10 14D05 PDFBibTeX XMLCite \textit{A. Liashyk} and \textit{S. Z. Pakuliak}, Theor. Math. Phys. 206, No. 1, 19--39 (2021; Zbl 1467.81054); translation from Teor. Mat. Fiz. 206, No. 1, 23--46 (2021) Full Text: DOI arXiv
Tsymbaliuk, Alexander PBWD bases and shuffle algebra realizations for \(U_v(L\mathfrak{sl}_n)\), \(U_{v_1,v_2} (L\mathfrak{sl}_n)\), \(U_v (L\mathfrak{sl}(m|n))\) and their integral forms. (English) Zbl 1475.17027 Sel. Math., New Ser. 27, No. 3, Paper No. 35, 48 p. (2021). Reviewer: Ilaria Colazzo (Exeter) MSC: 17B37 16T20 81R50 PDFBibTeX XMLCite \textit{A. Tsymbaliuk}, Sel. Math., New Ser. 27, No. 3, Paper No. 35, 48 p. (2021; Zbl 1475.17027) Full Text: DOI arXiv
Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo Yangians versus minimal \(W\)-algebras: a surprising coincidence. (English) Zbl 1496.17011 Commun. Contemp. Math. 23, No. 4, Article ID 2050036, 36 p. (2021). Reviewer: Andrea Appel (Parma) MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{V. G. Kac} et al., Commun. Contemp. Math. 23, No. 4, Article ID 2050036, 36 p. (2021; Zbl 1496.17011) Full Text: DOI arXiv
Poletaeva, Elena; Serganova, Vera Representations of principal \(W\)-algebra for the superalgebra \(Q(n)\) and the super Yangian YQ(1). (English) Zbl 1478.17014 J. Algebra 570, 140-163 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B35 16S30 17B20 PDFBibTeX XMLCite \textit{E. Poletaeva} and \textit{V. Serganova}, J. Algebra 570, 140--163 (2021; Zbl 1478.17014) Full Text: DOI arXiv
Peng, Yung-Ning Finite \(W\)-superalgebras via super Yangians. (English) Zbl 1482.17049 Adv. Math. 377, Article ID 107459, 61 p. (2021). Reviewer: Yunnan Li (Guangzhou) MSC: 17B60 16T05 17B35 17B38 PDFBibTeX XMLCite \textit{Y.-N. Peng}, Adv. Math. 377, Article ID 107459, 61 p. (2021; Zbl 1482.17049) Full Text: DOI arXiv
Münkler, Hagen Wilson loops and integrability. (English) Zbl 1519.81437 J. Phys. A, Math. Theor. 53, No. 28, Article ID 283003, 31 p. (2020). MSC: 81T35 81T40 81T13 81T30 81R10 81R50 PDFBibTeX XMLCite \textit{H. Münkler}, J. Phys. A, Math. Theor. 53, No. 28, Article ID 283003, 31 p. (2020; Zbl 1519.81437) Full Text: DOI arXiv
Ashwinkumar, Meer; Tan, Meng-Chwan; Zhao, Qin Branes and categorifying integrable lattice models. (English) Zbl 1518.81079 Adv. Theor. Math. Phys. 24, No. 1, 1-24 (2020). MSC: 81T30 37K60 81R12 81T25 81T35 PDFBibTeX XMLCite \textit{M. Ashwinkumar} et al., Adv. Theor. Math. Phys. 24, No. 1, 1--24 (2020; Zbl 1518.81079) Full Text: DOI arXiv
Nazarov, Maxim Yangian of the general linear Lie superalgebra. (English) Zbl 1478.17016 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 112, 24 p. (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B38 16T20 81R50 PDFBibTeX XMLCite \textit{M. Nazarov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 112, 24 p. (2020; Zbl 1478.17016) Full Text: DOI arXiv
Stukopin, V. A. Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra. (English. Russian original) Zbl 1453.81040 Theor. Math. Phys. 204, No. 3, 1227-1243 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 466-484 (2020). MSC: 81R50 81T40 17B37 17B10 PDFBibTeX XMLCite \textit{V. A. Stukopin}, Theor. Math. Phys. 204, No. 3, 1227--1243 (2020; Zbl 1453.81040); translation from Teor. Mat. Fiz. 204, No. 3, 466--484 (2020) Full Text: DOI
De Sole, Alberto; Fedele, Laura; Valeri, Daniele Generators of the quantum finite \(W\)-algebras in type \(A\). (English) Zbl 1486.17022 J. Algebra Appl. 19, No. 9, Article ID 2050175, 76 p. (2020). MSC: 17B35 17B08 17B63 17B80 PDFBibTeX XMLCite \textit{A. De Sole} et al., J. Algebra Appl. 19, No. 9, Article ID 2050175, 76 p. (2020; Zbl 1486.17022) 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
Tsymbaliuk, Alexander Shuffle algebra realizations of type \(A\) super Yangians and quantum affine superalgebras for all Cartan data. (English) Zbl 1464.17021 Lett. Math. Phys. 110, No. 8, 2083-2111 (2020). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B37 17B38 81R10 PDFBibTeX XMLCite \textit{A. Tsymbaliuk}, Lett. Math. Phys. 110, No. 8, 2083--2111 (2020; Zbl 1464.17021) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 arXiv
Nazarov, Maxim Double Yangian and the universal \(R\)-matrix. (English) Zbl 1479.16033 Jpn. J. Math. (3) 15, No. 1, 169-221 (2020). Reviewer: Susama Agarwala (London) MSC: 16T20 17B37 81R50 PDFBibTeX XMLCite \textit{M. Nazarov}, Jpn. J. Math. (3) 15, No. 1, 169--221 (2020; Zbl 1479.16033) Full Text: DOI arXiv
Il’In, A. I. The maximality of certain commutative subalgebras in Yangians. (English. Russian original) Zbl 1487.17027 Funct. Anal. Appl. 53, No. 4, 309-312 (2019); translation from Funkts. Anal. Prilozh. 53, No. 4, 85-88 (2019). MSC: 17B37 16T99 PDFBibTeX XMLCite \textit{A. I. Il'In}, Funct. Anal. Appl. 53, No. 4, 309--312 (2019; Zbl 1487.17027); translation from Funkts. Anal. Prilozh. 53, No. 4, 85--88 (2019) Full Text: DOI
Liashyk, A. N.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Bethe vectors for orthogonal integrable models. (English. Russian original) Zbl 1441.81106 Theor. Math. Phys. 201, No. 2, 1545-1564 (2019); translation from Teor. Mat. Fiz. 201, No. 2, 153-174 (2019). MSC: 81Q80 81Q40 16T25 82B23 82C23 17B20 17B45 14D05 PDFBibTeX XMLCite \textit{A. N. Liashyk} et al., Theor. Math. Phys. 201, No. 2, 1545--1564 (2019; Zbl 1441.81106); translation from Teor. Mat. Fiz. 201, No. 2, 153--174 (2019) Full Text: DOI arXiv
Butorac, Marijana; Jing, Naihuan; Kožić, Slaven \(h\)-adic quantum vertex algebras associated with rational \(R\)-matrix in types \(B\), \(C\) and \(D\). (English) Zbl 1471.17027 Lett. Math. Phys. 109, No. 11, 2439-2471 (2019). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{M. Butorac} et al., Lett. Math. Phys. 109, No. 11, 2439--2471 (2019; Zbl 1471.17027) Full Text: DOI arXiv
Kamnitzer, Joel; Tingley, Peter; Webster, Ben; Weekes, Alex; Yacobi, Oded Highest weights for truncated shifted Yangians and product monomial crystals. (English) Zbl 1448.16023 J. Comb. Algebra 3, No. 3, 237-303 (2019). MSC: 16G99 16T99 17B10 05E10 PDFBibTeX XMLCite \textit{J. Kamnitzer} et al., J. Comb. Algebra 3, No. 3, 237--303 (2019; Zbl 1448.16023) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{N. Guay} et al., J. Éc. Polytech., Math. 6, 665--706 (2019; Zbl 1452.17017) Full Text: DOI arXiv
Du, Guijiao; Xue, Kang; Zhou, Chengcheng Yangian and topological basis expressions of two types of XXZ spin chains. (English) Zbl 1433.81012 Int. J. Theor. Phys. 58, No. 7, 2167-2183 (2019). MSC: 81P16 81P40 PDFBibTeX XMLCite \textit{G. Du} et al., Int. J. Theor. Phys. 58, No. 7, 2167--2183 (2019; Zbl 1433.81012) Full Text: DOI
Karakhanyan, D.; Kirschner, R. Orthogonal and symplectic Yangians and Lie algebra representations. (English. Russian original) Zbl 1416.16035 Theor. Math. Phys. 198, No. 2, 239-248 (2019); translation from Teor. Mat. Fiz. 198, No. 2, 273-283 (2019). MSC: 16T25 17B10 PDFBibTeX XMLCite \textit{D. Karakhanyan} and \textit{R. Kirschner}, Theor. Math. Phys. 198, No. 2, 239--248 (2019; Zbl 1416.16035); translation from Teor. Mat. Fiz. 198, No. 2, 273--283 (2019) Full Text: DOI
Stukopin, V. A. Isomorphism of the Yangian \(Y_{\hbar}(A(m, n))\) of the special linear Lie superalgebra and the quantum loop superalgebra \(U_{\hbar}(LA(m, n))\). (English. Russian original) Zbl 1429.17017 Theor. Math. Phys. 198, No. 1, 129-144 (2019); translation from Teor. Mat. Fiz. 198, No. 1, 145-161 (2019). MSC: 17B37 17B10 81T40 PDFBibTeX XMLCite \textit{V. A. Stukopin}, Theor. Math. Phys. 198, No. 1, 129--144 (2019; Zbl 1429.17017); translation from Teor. Mat. Fiz. 198, No. 1, 145--161 (2019) Full Text: DOI
Kožić, Slaven Quantum current algebras associated with rational \(R\)-matrix. (English) Zbl 1473.17041 Adv. Math. 351, 1072-1104 (2019). MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{S. Kožić}, Adv. Math. 351, 1072--1104 (2019; Zbl 1473.17041) Full Text: DOI arXiv
Kodera, Ryosuke Braid group action on affine Yangian. (English) Zbl 1481.17012 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 020, 28 p. (2019). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 17B10 17B37 17B67 PDFBibTeX XMLCite \textit{R. Kodera}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 020, 28 p. (2019; Zbl 1481.17012) Full Text: DOI arXiv
Kodera, Ryosuke Affine Yangian action on the Fock space. (English) Zbl 1448.17012 Publ. Res. Inst. Math. Sci. 55, No. 1, 189-234 (2019). MSC: 17B10 17B37 17B67 PDFBibTeX XMLCite \textit{R. Kodera}, Publ. Res. Inst. Math. Sci. 55, No. 1, 189--234 (2019; Zbl 1448.17012) Full Text: DOI arXiv
Yao, Shao-Kui; Liu, Peng; Jia, Xiao-Yu On super Yangian covariance of the triple product system. (English) Zbl 1407.17036 Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 15, 15 p. (2019). MSC: 17B80 16T05 16T25 PDFBibTeX XMLCite \textit{S.-K. Yao} et al., Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 15, 15 p. (2019; Zbl 1407.17036) Full Text: DOI
Gerrard, Allan; MacKay, Niall; Regelskis, Vidas Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry. (English) Zbl 1416.82012 Ann. Henri Poincaré 20, No. 2, 339-392 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B23 81R12 17B37 PDFBibTeX XMLCite \textit{A. Gerrard} et al., Ann. Henri Poincaré 20, No. 2, 339--392 (2019; Zbl 1416.82012) Full Text: DOI arXiv Link
Chang, Lee; Ge, Molin Frontier problems in quantum mechanics. (English) Zbl 1409.81001 Hackensack, NJ: World Scientific; Beijing: Tsinghua University Press (ISBN 978-981-3146-84-6/hbk). xxv, 1063 p. (2019). Reviewer: Franco Strocchi (Pisa) MSC: 81-01 81P05 81P40 81P45 81V70 00A79 PDFBibTeX XMLCite \textit{L. Chang} and \textit{M. Ge}, Frontier problems in quantum mechanics. Hackensack, NJ: World Scientific; Beijing: Tsinghua University Press (2019; Zbl 1409.81001) Full Text: DOI
Gurevich, Dimitri; Saponov, Pavel From reflection equation algebra to braided Yangians. (English) Zbl 1423.81108 Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 107-129 (2018). MSC: 81R50 81R12 16T25 17B37 20F55 18D10 17B81 PDFBibTeX XMLCite \textit{D. Gurevich} and \textit{P. Saponov}, Springer Proc. Math. Stat. 273, 107--129 (2018; Zbl 1423.81108) Full Text: DOI arXiv
Brundan, Jonathan; Topley, Lewis The \(p\)-centre of Yangians and shifted Yangians. (English) Zbl 1480.17016 Mosc. Math. J. 18, No. 4, 617-657 (2018). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 17B50 PDFBibTeX XMLCite \textit{J. Brundan} and \textit{L. Topley}, Mosc. Math. J. 18, No. 4, 617--657 (2018; Zbl 1480.17016) Full Text: arXiv Link
Loebbert, Florian; Spiering, Anne Nonlocal symmetries and factorized scattering. (English) Zbl 1411.82024 J. Phys. A, Math. Theor. 51, No. 48, Article ID 485202, 31 p. (2018). MSC: 82C20 82C23 81T60 81T20 81T40 81S05 81U20 PDFBibTeX XMLCite \textit{F. Loebbert} and \textit{A. Spiering}, J. Phys. A, Math. Theor. 51, No. 48, Article ID 485202, 31 p. (2018; Zbl 1411.82024) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele A Lax type operator for quantum finite \(W\)-algebras. (English) Zbl 1456.17008 Sel. Math., New Ser. 24, No. 5, 4617-4657 (2018). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B08 17B63 17B35 17B80 PDFBibTeX XMLCite \textit{A. De Sole} et al., Sel. Math., New Ser. 24, No. 5, 4617--4657 (2018; Zbl 1456.17008) Full Text: DOI arXiv
Gurevich, Dimitri; Saponov, Pavel; Talalaev, Dmitry Drinfeld-Sokolov reduction in quantum algebras: canonical form of generating matrices. (English) Zbl 1398.81129 Lett. Math. Phys. 108, No. 10, 2303-2314 (2018). MSC: 81R50 17B37 20F55 20C08 11G09 PDFBibTeX XMLCite \textit{D. Gurevich} et al., Lett. Math. Phys. 108, No. 10, 2303--2314 (2018; Zbl 1398.81129) Full Text: DOI
Kožić, Slaven Principal subspaces for double Yangian \(\mathrm{DY}(\mathfrak{sl}_2)\). (English) Zbl 1422.17018 J. Lie Theory 28, No. 3, 673-694 (2018). MSC: 17B37 17B69 11P84 PDFBibTeX XMLCite \textit{S. Kožić}, J. Lie Theory 28, No. 3, 673--694 (2018; Zbl 1422.17018) Full Text: Link
Kožić, Slaven Commutative operators for double Yangian \(\mathrm{DY}(\mathfrak{sl}_n)\). (English) Zbl 1452.17019 Glas. Mat., III. Ser. 53, No. 1, 97-113 (2018). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 17B69 PDFBibTeX XMLCite \textit{S. Kožić}, Glas. Mat., III. Ser. 53, No. 1, 97--113 (2018; Zbl 1452.17019) Full Text: DOI
Yang, Yaping; Zhao, Gufang Cohomological Hall algebras and affine quantum groups. (English) Zbl 1431.17012 Sel. Math., New Ser. 24, No. 2, 1093-1119 (2018). MSC: 17B37 14F43 55N22 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{G. Zhao}, Sel. Math., New Ser. 24, No. 2, 1093--1119 (2018; Zbl 1431.17012) Full Text: DOI arXiv
Molev, Alexander Sugawara operators for classical Lie algebras. (English) Zbl 1395.17001 Mathematical Surveys and Monographs 229. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3659-9/hbk; 978-1-4704-4391-7/ebook). xiv, 304 p. (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B35 16S30 17B63 17B67 17B69 PDFBibTeX XMLCite \textit{A. Molev}, Sugawara operators for classical Lie algebras. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1395.17001) Full Text: DOI
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Finite \(W\)-algebras for \(\mathfrak{gl}_N\). (English) Zbl 1398.17007 Adv. Math. 327, 173-224 (2018). MSC: 17B35 17B70 37K10 PDFBibTeX XMLCite \textit{A. De Sole} et al., Adv. Math. 327, 173--224 (2018; Zbl 1398.17007) Full Text: DOI arXiv
Jing, Naihuan; Kožić, Slaven; Molev, Alexander; Yang, Fan Center of the quantum affine vertex algebra in type \(A\). (English) Zbl 1432.17014 J. Algebra 496, 138-186 (2018). MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{N. Jing} et al., J. Algebra 496, 138--186 (2018; Zbl 1432.17014) Full Text: DOI arXiv
Pakuliak, Stanislav Z.; Ragoucy, Eric; Slavnov, Nikita A. Bethe vectors for models based on the super-Yangian \(Y(\mathfrak{gl}(m|n))\). (English) Zbl 1400.37091 J. Integrable Syst. 2, Article ID xyx001, 31 p. (2017). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 37K30 82B23 17B01 17B80 PDFBibTeX XMLCite \textit{S. Z. Pakuliak} et al., J. Integrable Syst. 2, Article ID xyx001, 31 p. (2017; Zbl 1400.37091) Full Text: DOI arXiv
Karakhanyan, D. R.; Kirschner, R. Second-order evaluations of orthogonal and symplectic Yangians. (English. Russian original) Zbl 1382.16033 Theor. Math. Phys. 192, No. 2, 1154-1161 (2017); translation from Teor. Mat. Fiz. 192, No. 2, 250-258 (2017). MSC: 16T25 81R50 17B35 PDFBibTeX XMLCite \textit{D. R. Karakhanyan} and \textit{R. Kirschner}, Theor. Math. Phys. 192, No. 2, 1154--1161 (2017; Zbl 1382.16033); translation from Teor. Mat. Fiz. 192, No. 2, 250--258 (2017) Full Text: DOI
Gurevich, D. I.; Saponov, Pavel A. Generalized Yangians and their Poisson counterparts. (English. Russian original) Zbl 1382.81120 Theor. Math. Phys. 192, No. 3, 1243-1257 (2017); translation from Teor. Mat. Fiz. 192, No. 3, 351-368 (2017). MSC: 81R50 16T25 17B37 17B63 PDFBibTeX XMLCite \textit{D. I. Gurevich} and \textit{P. A. Saponov}, Theor. Math. Phys. 192, No. 3, 1243--1257 (2017; Zbl 1382.81120); translation from Teor. Mat. Fiz. 192, No. 3, 351--368 (2017) Full Text: DOI arXiv
Kirschner, Roland; Savvidy, George Yangian and susy symmetry of high spin parton splitting amplitudes in generalised Yang-Mills theory. (English) Zbl 1372.81118 Mod. Phys. Lett. A 32, No. 23, Article ID 1750121, 16 p. (2017). MSC: 81T13 81T60 PDFBibTeX XMLCite \textit{R. Kirschner} and \textit{G. Savvidy}, Mod. Phys. Lett. A 32, No. 23, Article ID 1750121, 16 p. (2017; Zbl 1372.81118) Full Text: DOI arXiv
Gautam, Sachin; Toledano Laredo, Valerio Meromorphic tensor equivalence for Yangians and quantum loop algebras. (English) Zbl 1432.17012 Publ. Math., Inst. Hautes Étud. Sci. 125, 267-337 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 81R10 PDFBibTeX XMLCite \textit{S. Gautam} and \textit{V. Toledano Laredo}, Publ. Math., Inst. Hautes Étud. Sci. 125, 267--337 (2017; Zbl 1432.17012) Full Text: DOI arXiv
Frassek, Rouven Boundary perimeter Bethe ansatz. (English) Zbl 1368.82004 J. Phys. A, Math. Theor. 50, No. 26, Article ID 265202, 19 p. (2017). MSC: 82B20 82B23 PDFBibTeX XMLCite \textit{R. Frassek}, J. Phys. A, Math. Theor. 50, No. 26, Article ID 265202, 19 p. (2017; Zbl 1368.82004) Full Text: DOI arXiv
Dobrev, Vladimir K. Invariant differential operators. Volume 2: Quantum groups. (English) Zbl 1375.17002 De Gruyter Studies in Mathematical Physics 39. Berlin: De Gruyter (ISBN 978-3-11-043543-6/hbk; 978-3-11-042770-7/ebook). xi, 393 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B37 20G42 17B68 PDFBibTeX XMLCite \textit{V. K. Dobrev}, Invariant differential operators. Volume 2: Quantum groups. Berlin: De Gruyter (2017; Zbl 1375.17002) Full Text: DOI
Khoroshkin, S. M.; Matushko, M. G.; Sklyanin, E. K. On spin Calogero-Moser system at infinity. (English) Zbl 1362.81102 J. Phys. A, Math. Theor. 50, No. 11, Article ID 115203, 26 p. (2017). MSC: 81V70 17B69 17B81 81R12 PDFBibTeX XMLCite \textit{S. M. Khoroshkin} et al., J. Phys. A, Math. Theor. 50, No. 11, Article ID 115203, 26 p. (2017; Zbl 1362.81102) Full Text: DOI arXiv
Klose, Thomas; Loebbert, Florian; Münkler, Hagen Nonlocal symmetries, spectral parameter and minimal surfaces in AdS/CFT. (English) Zbl 1356.81181 Nucl. Phys., B 916, 320-372 (2017). MSC: 81T20 81T40 81R05 81P40 58E12 39A12 81T80 PDFBibTeX XMLCite \textit{T. Klose} et al., Nucl. Phys., B 916, 320--372 (2017; Zbl 1356.81181) Full Text: DOI arXiv
Borsato, Riccardo; Sax, Olof Ohlsson; Sfondrini, Alessandro; Stefański, Bogdan jun.; Torrielli, Alessandro On the dressing factors, Bethe equations and Yangian symmetry of strings on \(\mathrm{AdS}_3\times S^3\times T^4\). (English) Zbl 1360.81265 J. Phys. A, Math. Theor. 50, No. 2, Article ID 024004, 63 p. (2017). Reviewer: T. C. Mohan (Chennai) MSC: 81T40 81T20 81T30 81Q40 81R05 PDFBibTeX XMLCite \textit{R. Borsato} et al., J. Phys. A, Math. Theor. 50, No. 2, Article ID 024004, 63 p. (2017; Zbl 1360.81265) Full Text: DOI arXiv
Tsymbaliuk, Alexander The affine Yangian of \(\mathfrak{gl}_1\) revisited. (English) Zbl 1350.81017 Adv. Math. 304, 583-645 (2017). MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{A. Tsymbaliuk}, Adv. Math. 304, 583--645 (2017; Zbl 1350.81017) Full Text: DOI arXiv
Valinevich, P. A.; Derkachov, S. É.; Kulish, P. P.; Uvarov, E. M. Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an \(\mathrm{SL}(n,\mathbb{C})\)-invariant spin chain. (English. Russian original) Zbl 1362.82013 Theor. Math. Phys. 189, No. 2, 1529-1553 (2016); translation from Teor. Mat. Fiz. 189, No. 2, 149-175 (2016). MSC: 82B20 16T25 17B81 15A18 PDFBibTeX XMLCite \textit{P. A. Valinevich} et al., Theor. Math. Phys. 189, No. 2, 1529--1553 (2016; Zbl 1362.82013); translation from Teor. Mat. Fiz. 189, No. 2, 149--175 (2016) Full Text: DOI
de Leeuw, Marius; Regelskis, Vidas An algebraic approach to the Hubbard model. (English) Zbl 1349.81112 Phys. Lett., A 380, No. 5-6, 645-653 (2016). MSC: 81R15 82D20 PDFBibTeX XMLCite \textit{M. de Leeuw} and \textit{V. Regelskis}, Phys. Lett., A 380, No. 5--6, 645--653 (2016; Zbl 1349.81112) Full Text: DOI arXiv
Loebbert, Florian Lectures on Yangian symmetry. (English) Zbl 1356.81173 J. Phys. A, Math. Theor. 49, No. 32, Article ID 323002, 74 p. (2016). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 81T13 81T60 16T25 81T20 82B30 81R12 82B23 82B20 81R50 81-02 PDFBibTeX XMLCite \textit{F. Loebbert}, J. Phys. A, Math. Theor. 49, No. 32, Article ID 323002, 74 p. (2016; Zbl 1356.81173) Full Text: DOI arXiv
Poletaeva, Elena; Serganova, Vera On Kostant’s theorem for the Lie superalgebra \(Q(n)\). (English) Zbl 1402.17022 Adv. Math. 300, 320-359 (2016). MSC: 17B35 17B20 PDFBibTeX XMLCite \textit{E. Poletaeva} and \textit{V. Serganova}, Adv. Math. 300, 320--359 (2016; Zbl 1402.17022) Full Text: DOI arXiv
Münkler, Hagen Bonus symmetry for super Wilson loops. (English) Zbl 1342.81459 J. Phys. A, Math. Theor. 49, No. 18, Article ID 185401, 12 p. (2016). MSC: 81T30 81T20 81T40 81T60 PDFBibTeX XMLCite \textit{H. Münkler}, J. Phys. A, Math. Theor. 49, No. 18, Article ID 185401, 12 p. (2016; Zbl 1342.81459) Full Text: DOI arXiv
Zhang, Hong-Biao; Wang, Gang-Cheng Generic representation of \(Y(\mathrm{so}(3))\) based on the Lie algebraic basis of \(\mathrm{so}(3)\). (English) Zbl 1338.81362 Int. J. Theor. Phys. 55, No. 5, 2529-2540 (2016). MSC: 81U40 17B81 PDFBibTeX XMLCite \textit{H.-B. Zhang} and \textit{G.-C. Wang}, Int. J. Theor. Phys. 55, No. 5, 2529--2540 (2016; Zbl 1338.81362) Full Text: DOI
Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis Twisted Yangians of small rank. (English) Zbl 1342.81177 J. Math. Phys. 57, No. 4, 041703, 28 p. (2016). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 81R10 17B65 17B80 17B81 81R50 17B37 PDFBibTeX XMLCite \textit{N. Guay} et al., J. Math. Phys. 57, No. 4, 041703, 28 p. (2016; Zbl 1342.81177) Full Text: DOI arXiv Link
Finkel, Federico; González-López, Artemio Yangian-invariant spin models and Fibonacci numbers. (English) Zbl 1360.81277 Ann. Phys. 361, 520-547 (2015). MSC: 81T60 81R10 81T13 11B39 PDFBibTeX XMLCite \textit{F. Finkel} and \textit{A. González-López}, Ann. Phys. 361, 520--547 (2015; Zbl 1360.81277) Full Text: DOI arXiv
Münkler, Hagen; Pollok, Jonas Minimal surfaces of the \(\mathrm{AdS}_{5}\times {S}^{5}\) superstring and the symmetries of super Wilson loops at strong coupling. (English) Zbl 1342.81460 J. Phys. A, Math. Theor. 48, No. 36, Article ID 365402, 46 p. (2015). Reviewer: Saeid Jafari (Slagelse) MSC: 81T30 81T60 81T13 46S60 81T20 81T40 81R12 58E12 PDFBibTeX XMLCite \textit{H. Münkler} and \textit{J. Pollok}, J. Phys. A, Math. Theor. 48, No. 36, Article ID 365402, 46 p. (2015; Zbl 1342.81460) Full Text: DOI arXiv
Tan, Yilan Local Weyl modules and cyclicity of tensor products for Yangian of type \(G_2\). (English) Zbl 1365.17015 Algebr. Represent. Theory 18, No. 4, 1061-1070 (2015). MSC: 17B67 17B25 PDFBibTeX XMLCite \textit{Y. Tan}, Algebr. Represent. Theory 18, No. 4, 1061--1070 (2015; Zbl 1365.17015) Full Text: DOI arXiv
Rimányi, Richárd; Tarasov, Vitaly; Varchenko, Alexander Partial flag varieties, stable envelopes, and weight functions. (English) Zbl 1361.14030 Quantum Topol. 6, No. 2, 333-364 (2015). MSC: 14M15 14F43 17B35 33D80 55N91 17B37 20G42 PDFBibTeX XMLCite \textit{R. Rimányi} et al., Quantum Topol. 6, No. 2, 333--364 (2015; Zbl 1361.14030) Full Text: DOI arXiv
Tan, Yilan; Guay, Nicolas Local Weyl modules and cyclicity of tensor products for Yangians. (English) Zbl 1365.17016 J. Algebra 432, 228-251 (2015). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{Y. Tan} and \textit{N. Guay}, J. Algebra 432, 228--251 (2015; Zbl 1365.17016) Full Text: DOI arXiv
Peng, Yung-Ning On shifted super Yangians and a class of finite \(W\)-superalgebras. (English) Zbl 1302.17015 J. Algebra 422, 520-562 (2015). MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{Y.-N. Peng}, J. Algebra 422, 520--562 (2015; Zbl 1302.17015) Full Text: DOI arXiv
Ferro, Livia; Łukowski, Tomasz; Staudacher, Matthias \(\mathcal{N} = 4\) scattering amplitudes and the deformed Graßmannian. (English) Zbl 1326.81226 Nucl. Phys., B 889, 192-206 (2014). MSC: 81U05 81T13 81T60 81T40 PDFBibTeX XMLCite \textit{L. Ferro} et al., Nucl. Phys., B 889, 192--206 (2014; Zbl 1326.81226) Full Text: DOI arXiv
Molev, A. I.; Mukhin, E. E. Yangian characters and classical \(\mathcal W\)-algebras. (English) Zbl 1329.17025 Kohnen, Winfried (ed.) et al., Conformal field theory, automorphic forms and related topics. CFT 2011, Heidelberg, Germany, September 19–23, 2011. Berlin: Springer (ISBN 978-3-662-43830-5/hbk; 978-3-662-43831-2/ebook). Contributions in Mathematical and Computational Sciences 8, 287-334 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B68 17B10 PDFBibTeX XMLCite \textit{A. I. Molev} and \textit{E. E. Mukhin}, Contrib. Math. Comput. Sci. 8, 287--334 (2014; Zbl 1329.17025) Full Text: DOI arXiv
Poletaeva, Elena On Kostant’s theorem for Lie superalgebras. (English) Zbl 1344.17012 Gorelik, Maria (ed.) et al., Advances in Lie superalgebras. Proceedings of the conference ‘Lie superalgebras’, Rome, Italy, December 14–19, 2012. Cham: Springer (ISBN 978-3-319-02951-1/hbk; 978-3-319-02952-8/ebook). Springer INdAM Series 7, 167-179 (2014). Reviewer: Giovanna Carnovale (Padova) MSC: 17B35 17B08 PDFBibTeX XMLCite \textit{E. Poletaeva}, Springer INdAM Ser. 7, 167--179 (2014; Zbl 1344.17012) Full Text: DOI
Beisert, Niklas; Broedel, Johannes; Rosso, Matteo On Yangian-invariant regularization of deformed on-shell diagrams in \(\mathcal{N}=4\) super-Yang-Mills theory. (English) Zbl 1298.81339 J. Phys. A, Math. Theor. 47, No. 36, Article ID 365402, 32 p. (2014). MSC: 81T40 81T13 81T60 81T18 81U05 16T20 13D10 PDFBibTeX XMLCite \textit{N. Beisert} et al., J. Phys. A, Math. Theor. 47, No. 36, Article ID 365402, 32 p. (2014; Zbl 1298.81339) Full Text: DOI arXiv
Khoroshkin, Sergey; Nazarov, Maxim; Shapiro, Alexander Rational and polynomial representations of Yangians. (English) Zbl 1367.17012 J. Algebra 418, 265-291 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{S. Khoroshkin} et al., J. Algebra 418, 265--291 (2014; Zbl 1367.17012) Full Text: DOI arXiv
Kamnitzer, Joel; Webster, Ben; Weekes, Alex; Yacobi, Oded Yangians and quantizations of slices in the affine Grassmannian. (English) Zbl 1325.14068 Algebra Number Theory 8, No. 4, 857-893 (2014). Reviewer: Alessandro Ruzzi (Roma) MSC: 14M15 14D24 53D55 PDFBibTeX XMLCite \textit{J. Kamnitzer} et al., Algebra Number Theory 8, No. 4, 857--893 (2014; Zbl 1325.14068) Full Text: DOI arXiv
De La Rosa Gomez, Alejandro; MacKay, Niall J. Twisted Yangian symmetry of the open Hubbard model. (English) Zbl 1297.81128 J. Phys. A, Math. Theor. 47, No. 30, Article ID 305203, 9 p. (2014). Reviewer: Dmitri Artamonov (Moscow) MSC: 81T10 81T13 17B45 14J81 47L40 81R12 PDFBibTeX XMLCite \textit{A. De La Rosa Gomez} and \textit{N. J. MacKay}, J. Phys. A, Math. Theor. 47, No. 30, Article ID 305203, 9 p. (2014; Zbl 1297.81128) Full Text: DOI arXiv
Tarasov, Vitaly; Varchenko, Alexander Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety. (English) Zbl 1294.82016 Cent. Eur. J. Math. 12, No. 5, 694-710 (2014). MSC: 82B23 17B80 55N91 35Q40 PDFBibTeX XMLCite \textit{V. Tarasov} and \textit{A. Varchenko}, Cent. Eur. J. Math. 12, No. 5, 694--710 (2014; Zbl 1294.82016) Full Text: DOI arXiv
Liu, Ying; Xue, Kang; Wang, Gangcheng; Liu, Bo; Sun, Chunfang The Yangian symmetry for three-spin-1/2 and four-spin-1/2 Heisenberg \(XXX\) models. (English) Zbl 1288.82015 Int. J. Quantum Inf. 12, No. 1, Article ID 1450006, 8 p. (2014). MSC: 82B20 PDFBibTeX XMLCite \textit{Y. Liu} et al., Int. J. Quantum Inf. 12, No. 1, Article ID 1450006, 8 p. (2014; Zbl 1288.82015) Full Text: DOI
Finkelberg, Michael; Rybnikov, Leonid Quantization of Drinfeld zastava in type C. (English) Zbl 1329.19007 Algebr. Geom. 1, No. 2, 166-180 (2014). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 19E08 22E65 37K10 PDFBibTeX XMLCite \textit{M. Finkelberg} and \textit{L. Rybnikov}, Algebr. Geom. 1, No. 2, 166--180 (2014; Zbl 1329.19007) Full Text: DOI arXiv
Finkelberg, Michael; Rybnikov, Leonid Quantization of Drinfeld Zastava in type \(A\). (English) Zbl 1287.14024 J. Eur. Math. Soc. (JEMS) 16, No. 2, 235-271 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14L24 17B22 PDFBibTeX XMLCite \textit{M. Finkelberg} and \textit{L. Rybnikov}, J. Eur. Math. Soc. (JEMS) 16, No. 2, 235--271 (2014; Zbl 1287.14024) Full Text: DOI arXiv
Peng, Yung-Ning Finite \(W\)-superalgebras and truncated super Yangians. (English) Zbl 1292.17014 Lett. Math. Phys. 104, No. 1, 89-102 (2014). MSC: 17B37 17A70 PDFBibTeX XMLCite \textit{Y.-N. Peng}, Lett. Math. Phys. 104, No. 1, 89--102 (2014; Zbl 1292.17014) Full Text: DOI arXiv
Stukopin, V. A. The Yangian of the strange Lie superalgebra and its quantum double. (English. Russian original) Zbl 1311.17009 Theor. Math. Phys. 174, No. 1, 122-133 (2013); translation from Teor. Mat. Fiz. 174, No. 1, 140-153 (2013). Reviewer: Yang Shilin (Beijing) MSC: 17B37 PDFBibTeX XMLCite \textit{V. A. Stukopin}, Theor. Math. Phys. 174, No. 1, 122--133 (2013; Zbl 1311.17009); translation from Teor. Mat. Fiz. 174, No. 1, 140--153 (2013) Full Text: DOI
Brown, Jonathan; Brundan, Jonathan; Goodwin, Simon M. Principal \(W\)-algebras for \(\mathrm{GL}(m|n)\). (English) Zbl 1302.17008 Algebra Number Theory 7, No. 8, 1849-1882 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{J. Brown} et al., Algebra Number Theory 7, No. 8, 1849--1882 (2013; Zbl 1302.17008) Full Text: DOI arXiv
Gorbounov, V.; Rimányi, R.; Tarasov, V.; Varchenko, A. Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra. (English) Zbl 1287.81063 J. Geom. Phys. 74, 56-86 (2013). MSC: 81R50 53D50 81S10 17B37 53D45 14M15 14J33 53D37 PDFBibTeX XMLCite \textit{V. Gorbounov} et al., J. Geom. Phys. 74, 56--86 (2013; Zbl 1287.81063) Full Text: DOI arXiv
Stukopin, V. A. Representations of the Yangian of a Lie superalgebra of type \(A(m,n)\). (English. Russian original) Zbl 1303.17013 Izv. Math. 77, No. 5, 1021-1043 (2013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 5, 179-202 (2013). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{V. A. Stukopin}, Izv. Math. 77, No. 5, 1021--1043 (2013; Zbl 1303.17013); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 77, No. 5, 179--202 (2013) Full Text: DOI
Nakajima, Hiraku Quiver varieties and tensor products. II. (English) Zbl 1309.17010 Iohara, Kenji (ed.) et al., Symmetries, integrable systems and representations. Proceedings of the conference on infinite analysis: frontier of integrability, Tokyo, Japan, July 25–29, 2011 and the conference on symmetries, integrable systems and representations, Lyon, France, December 13–16, 2011. London: Springer (ISBN 978-1-4471-4862-3/hbk; 978-1-4471-4863-0/ebook). Springer Proceedings in Mathematics & Statistics 40, 403-428 (2013). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B67 14F05 PDFBibTeX XMLCite \textit{H. Nakajima}, Springer Proc. Math. Stat. 40, 403--428 (2013; Zbl 1309.17010) Full Text: DOI arXiv
Gautam, Sachin; Toledano Laredo, Valerio Yangians and quantum loop algebras. (English) Zbl 1336.17010 Sel. Math., New Ser. 19, No. 2, 271-336 (2013). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 19L47 82B23 PDFBibTeX XMLCite \textit{S. Gautam} and \textit{V. Toledano Laredo}, Sel. Math., New Ser. 19, No. 2, 271--336 (2013; Zbl 1336.17010) Full Text: DOI arXiv
Xu, Lei; Jing, Jian; Yuan, Zi-Gang; Kong, Ling-Bao; Long, Zheng-Wen Yangian symmetries and integrability of the Dirac equation with spin symmetry. (English) Zbl 1266.81078 Ann. Phys. 329, 158-165 (2013). MSC: 81Q05 81R05 22E70 PDFBibTeX XMLCite \textit{L. Xu} et al., Ann. Phys. 329, 158--165 (2013; Zbl 1266.81078) Full Text: DOI
Jing, Naihuan; Liu, Ming Isomorphism between two realizations of the Yangian. (English) Zbl 1311.17008 J. Phys. A, Math. Theor. 46, No. 7, Article ID 075201, 12 p. (2013). Reviewer: Yang Shilin (Beijing) MSC: 17B37 17B68 81R50 PDFBibTeX XMLCite \textit{N. Jing} and \textit{M. Liu}, J. Phys. A, Math. Theor. 46, No. 7, Article ID 075201, 12 p. (2013; Zbl 1311.17008) Full Text: DOI arXiv
Wang, Gangcheng; Xue, Kang; Sun, Chunfang; Du, Guijiao Yang-Baxter \({\breve R}\) matrix, entanglement and Yangian. (English) Zbl 1267.81080 Quantum Inf. Process. 11, No. 6, 1775-1784 (2012). MSC: 81P40 16T25 PDFBibTeX XMLCite \textit{G. Wang} et al., Quantum Inf. Process. 11, No. 6, 1775--1784 (2012; Zbl 1267.81080) Full Text: DOI arXiv
Hudson, Robin Sticky shuffle product Hopf algebras and their stochastic representations. (English) Zbl 1266.81123 Zhao, Huaizhong (ed.) et al., New trends in stochastic analysis and related topics. A volume in honor Professor K. D. Elworthy. Hackensack, NJ: World Scientific (ISBN 978-981-4360-91-3/hbk; 978-981-4360-92-0/ebook). Interdisciplinary Mathematical Sciences 12, 165-181 (2012). Reviewer: Adam Skalski (Warszawa) MSC: 81S25 16T05 PDFBibTeX XMLCite \textit{R. Hudson}, Interdiscip. Math. Sci. 12, 165--181 (2012; Zbl 1266.81123) Full Text: DOI
Nakajima, Hiraku Handsaw quiver varieties and finite \(W\)-algebras. (English) Zbl 1290.17013 Mosc. Math. J. 12, No. 3, 633-666 (2012). MSC: 17B37 14D21 PDFBibTeX XMLCite \textit{H. Nakajima}, Mosc. Math. J. 12, No. 3, 633--666 (2012; Zbl 1290.17013) Full Text: arXiv Link