Liashyk, Andrii; Pakuliak, Stanislav Z. Gauss coordinates vs currents for the Yangian doubles of the classical types. (English) Zbl 07292467 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 120, 23 p. (2020). MSC: 82B23 81R12 81R50 17B80 PDF BibTeX XML Cite \textit{A. Liashyk} and \textit{S. Z. Pakuliak}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 120, 23 p. (2020; Zbl 07292467) Full Text: DOI
Zhang, Huafeng Yangians and Baxter’s relations. (English) Zbl 07239423 Lett. Math. Phys. 110, No. 8, 2113-2141 (2020). MSC: 17B37 17B10 17B80 PDF BibTeX XML Cite \textit{H. Zhang}, Lett. Math. Phys. 110, No. 8, 2113--2141 (2020; Zbl 07239423) Full Text: DOI
Gurevich, Dimitri; Saponov, Pavel; Slinkin, Alexey Bethe subalgebras in braided Yangians and Gaudin-type models. (English) Zbl 07178344 Commun. Math. Phys. 374, No. 2, 689-704 (2020). MSC: 37J37 37J35 20C08 82B23 16T05 16T25 17B37 18M15 81R12 PDF BibTeX XML Cite \textit{D. Gurevich} et al., Commun. Math. Phys. 374, No. 2, 689--704 (2020; Zbl 07178344) Full Text: DOI
Tan, Yilan Verma modules for twisted Yangians. (English) Zbl 07168004 Commun. Algebra 48, No. 1, 210-217 (2020). MSC: 20G42 20G05 PDF BibTeX XML Cite \textit{Y. Tan}, Commun. Algebra 48, No. 1, 210--217 (2020; Zbl 07168004) Full Text: DOI
Finkelberg, Michael; Tsymbaliuk, Alexander Shifted quantum affine algebras: integral forms in type \(A\). (English) Zbl 07173996 Arnold Math. J. 5, No. 2-3, 197-283 (2019). MSC: 17B PDF BibTeX XML Cite \textit{M. Finkelberg} and \textit{A. Tsymbaliuk}, Arnold Math. J. 5, No. 2--3, 197--283 (2019; Zbl 07173996) Full Text: DOI
Goodwin, Simon M.; Topley, Lewis Minimal-dimensional representations of reduced enveloping algebras for \(\mathfrak{gl}_{n}\). (English) Zbl 1447.17008 Compos. Math. 155, No. 8, 1594-1617 (2019). MSC: 17B10 17B37 PDF BibTeX XML Cite \textit{S. M. Goodwin} and \textit{L. Topley}, Compos. Math. 155, No. 8, 1594--1617 (2019; Zbl 1447.17008) 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
Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis Equivalences between three presentations of orthogonal and symplectic Yangians. (English) Zbl 07042647 Lett. Math. Phys. 109, No. 2, 327-379 (2019). MSC: 17B37 16T20 PDF BibTeX XML Cite \textit{N. Guay} et al., Lett. Math. Phys. 109, No. 2, 327--379 (2019; Zbl 07042647) Full Text: DOI
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele A Lax type operator for quantum finite \(W\)-algebras. (English) Zbl 06976969 Sel. Math., New Ser. 24, No. 5, 4617-4657 (2018). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B08 17B63 17B35 17B80 PDF BibTeX XML Cite \textit{A. De Sole} et al., Sel. Math., New Ser. 24, No. 5, 4617--4657 (2018; Zbl 06976969) Full Text: DOI
Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis Coproduct for Yangians of affine Kac-Moody algebras. (English) Zbl 1447.17012 Adv. Math. 338, 865-911 (2018). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{N. Guay} et al., Adv. Math. 338, 865--911 (2018; Zbl 1447.17012) Full Text: DOI
Ilin, Aleksei; Rybnikov, Leonid Degeneration of Bethe subalgebras in the Yangian of \(\mathfrak {gl}_n\). (English) Zbl 1390.17026 Lett. Math. Phys. 108, No. 4, 1083-1107 (2018). MSC: 17B37 17B63 17B80 PDF BibTeX XML Cite \textit{A. Ilin} and \textit{L. Rybnikov}, Lett. Math. Phys. 108, No. 4, 1083--1107 (2018; Zbl 1390.17026) Full Text: DOI
Finkelberg, Michael; Kamnitzer, Joel; Pham, Khoa; Rybnikov, Leonid; Weekes, Alex Comultiplication for shifted Yangians and quantum open Toda lattice. (English) Zbl 1384.81045 Adv. Math. 327, 349-389 (2018). MSC: 81R12 81S10 81Q10 82C10 14M15 14N35 53D45 53D12 37K10 PDF BibTeX XML Cite \textit{M. Finkelberg} et al., Adv. Math. 327, 349--389 (2018; Zbl 1384.81045) Full Text: DOI arXiv
Guay, Nicolas; Regelskis, Vidas; Wendlandt, Curtis Representations of twisted Yangians of types B, C, D: I. (English) Zbl 1375.81126 Sel. Math., New Ser. 23, No. 3, 2071-2156 (2017). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 81R10 17B37 17B10 PDF BibTeX XML Cite \textit{N. Guay} et al., Sel. Math., New Ser. 23, No. 3, 2071--2156 (2017; Zbl 1375.81126) Full Text: DOI arXiv
Belliard, Samuel; Regelskis, Vidas Drinfeld J presentation of twisted Yangians. (English) Zbl 1360.81201 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 011, 35 p. (2017). MSC: 81R10 81R50 17B37 81R25 PDF BibTeX XML Cite \textit{S. Belliard} and \textit{V. Regelskis}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 011, 35 p. (2017; Zbl 1360.81201) Full Text: DOI arXiv
Guay, Nicolas; Regelskis, Vidas Twisted Yangians for symmetric pairs of types B, C, D. (English) Zbl 1401.17014 Math. Z. 284, No. 1-2, 131-166 (2016). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 16T20 81R50 PDF BibTeX XML Cite \textit{N. Guay} and \textit{V. Regelskis}, Math. Z. 284, No. 1--2, 131--166 (2016; Zbl 1401.17014) Full Text: DOI arXiv
Regelskis, Vidas Yangian of \(\mathrm{AdS}_3 /\mathrm{CFT}_2\) and its deformation. (English) Zbl 1338.81227 J. Geom. Phys. 106, 213-233 (2016). MSC: 81R10 81R12 81T30 81Q80 PDF BibTeX XML Cite \textit{V. Regelskis}, J. Geom. Phys. 106, 213--233 (2016; Zbl 1338.81227) Full Text: DOI arXiv
Conner, Patrick; Guay, Nicolas From twisted quantum loop algebras to twisted Yangians. (English) Zbl 1377.17023 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 040, 14 p. (2015). MSC: 17B67 PDF BibTeX XML Cite \textit{P. Conner} and \textit{N. Guay}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 040, 14 p. (2015; Zbl 1377.17023) Full Text: DOI EMIS arXiv
Pittelli, Antonio; Torrielli, Alessandro; Wolf, Martin Secret symmetries of type IIB superstring theory on \(\mathrm{AdS}_{3} \times {S}^{3}\times {M}^{4}\). (English) Zbl 1304.81138 J. Phys. A, Math. Theor. 47, No. 45, Article ID 455402, 20 p. (2014). MSC: 81T30 81T40 83E30 81T60 81T20 81U20 81R05 PDF BibTeX XML Cite \textit{A. Pittelli} et al., J. Phys. A, Math. Theor. 47, No. 45, Article ID 455402, 20 p. (2014; Zbl 1304.81138) Full Text: DOI arXiv
Jing, Naihuan; Liu, Ming Principal realization of twisted Yangian \({Y(\mathfrak{g}_{N})}\). (English) Zbl 1315.17012 Lett. Math. Phys. 102, No. 1, 91-105 (2012). MSC: 17B37 PDF BibTeX XML Cite \textit{N. Jing} and \textit{M. Liu}, Lett. Math. Phys. 102, No. 1, 91--105 (2012; Zbl 1315.17012) Full Text: DOI arXiv
Guay, Nicolas; Ma, Xiaoguang From quantum loop algebras to Yangians. (English) Zbl 1292.16029 J. Lond. Math. Soc., II. Ser. 86, No. 3, 683-700 (2012). MSC: 16T25 17B37 16T20 81R10 PDF BibTeX XML Cite \textit{N. Guay} and \textit{X. Ma}, J. Lond. Math. Soc., II. Ser. 86, No. 3, 683--700 (2012; Zbl 1292.16029) Full Text: DOI
Belliard, S.; Crampé, N. Coideal algebras from twisted Manin triples. (English) Zbl 1245.81059 J. Geom. Phys. 62, No. 10, 2009-2023 (2012). MSC: 81R50 17B37 PDF BibTeX XML Cite \textit{S. Belliard} and \textit{N. Crampé}, J. Geom. Phys. 62, No. 10, 2009--2023 (2012; Zbl 1245.81059) Full Text: DOI arXiv
Torrielli, Alessandro Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra. (English) Zbl 1243.81183 Lett. Math. Phys. 99, No. 1-3, 547-565 (2012). MSC: 81T30 81T60 81U20 81U15 16T05 17B65 PDF BibTeX XML Cite \textit{A. Torrielli}, Lett. Math. Phys. 99, No. 1--3, 547--565 (2012; Zbl 1243.81183) Full Text: DOI
Spill, Fabian Yangians in integrable field theories, spin chains and gauge-string dualities. (English) Zbl 1243.81090 Rev. Math. Phys. 24, No. 1, 1230001, 125 p. (2012). MSC: 81R12 81T30 16T25 17B80 81U20 81-02 81R50 17B37 82B20 PDF BibTeX XML Cite \textit{F. Spill}, Rev. Math. Phys. 24, No. 1, 1230001, 125 p. (2012; Zbl 1243.81090) Full Text: DOI arXiv
Shapiro, A. Rational representations of the Yangian \(\text Y(\mathfrak {gl}_n)\). (English) Zbl 1282.17011 J. Geom. Phys. 62, No. 7, 1677-1696 (2012). MSC: 17B10 PDF BibTeX XML Cite \textit{A. Shapiro}, J. Geom. Phys. 62, No. 7, 1677--1696 (2012; Zbl 1282.17011) Full Text: DOI arXiv
Feigin, Boris; Finkelberg, Michael; Negut, Andrei; Rybnikov, Leonid Yangians and cohomology rings of Laumon spaces. (English) Zbl 1260.14015 Sel. Math., New Ser. 17, No. 3, 573-607 (2011). Reviewer: Cenap Özel (Bolu) MSC: 14D20 14F43 14F05 17B35 PDF BibTeX XML Cite \textit{B. Feigin} et al., Sel. Math., New Ser. 17, No. 3, 573--607 (2011; Zbl 1260.14015) Full Text: DOI arXiv
Frassek, Rouven; łukowski, Tomasz; Meneghelli, Carlo; Staudacher, Matthias Oscillator construction of \(\mathfrak{su}(n|m)\) \(Q\)-operators. (English) Zbl 1215.81047 Nucl. Phys., B 850, No. 1, 175-198 (2011). MSC: 81R12 17B80 81R15 82B20 82B23 37K15 PDF BibTeX XML Cite \textit{R. Frassek} et al., Nucl. Phys., B 850, No. 1, 175--198 (2011; Zbl 1215.81047) Full Text: DOI arXiv
Davydov, Alexei; Molev, Alexander A categorical approach to classical and quantum Schur-Weyl duality. (English) Zbl 1217.18009 Polcino Milies, César (ed.), Groups, algebras and applications. XVIII Latin American algebra colloquium, São Pedro, Brazil, August 3–8, 2009. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5239-2/pbk). Contemporary Mathematics 537, 143-171 (2011). MSC: 18D10 17B37 20G42 81R50 PDF BibTeX XML Cite \textit{A. Davydov} and \textit{A. Molev}, Contemp. Math. 537, 143--171 (2011; Zbl 1217.18009) Full Text: arXiv
Gow, Lucy; Molev, Alexander Representations of twisted \(q\)-Yangians. (English) Zbl 1206.81060 Sel. Math., New Ser. 16, No. 3, 439-499 (2010). Reviewer: Gastón Andrés García (Córdoba) MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{L. Gow} and \textit{A. Molev}, Sel. Math., New Ser. 16, No. 3, 439--499 (2010; Zbl 1206.81060) Full Text: DOI arXiv
Kuramoto, Yoshio; Kato, Yusuke Dynamics of one-dimensional quantum systems. Inverse-square interaction models. (English) Zbl 1187.81108 Cambridge: Cambridge University Press (ISBN 978-0-521-81598-7/hbk; 978-0-511-59682-7/ebook). xii, 474 p. (2009). Reviewer: Paninjukunnath Achuthan (Madras) MSC: 81Q05 81-02 81V70 82B20 82B30 PDF BibTeX XML Cite \textit{Y. Kuramoto} and \textit{Y. Kato}, Dynamics of one-dimensional quantum systems. Inverse-square interaction models. Cambridge: Cambridge University Press (2009; Zbl 1187.81108) Full Text: DOI
Spill, Fabian; Torrielli, Alessandro On Drinfeld’s second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian. (English) Zbl 1167.81415 J. Geom. Phys. 59, No. 4, 489-502 (2009). MSC: 81R50 81R12 81T30 PDF BibTeX XML Cite \textit{F. Spill} and \textit{A. Torrielli}, J. Geom. Phys. 59, No. 4, 489--502 (2009; Zbl 1167.81415) Full Text: DOI arXiv
Guay, Nicolas Affine Yangians and deformed double current algebras in type \(A\). (English) Zbl 1142.17008 Adv. Math. 211, No. 2, 436-484 (2007). Reviewer: Steffen König (Köln) MSC: 17B37 16D90 20C08 PDF BibTeX XML Cite \textit{N. Guay}, Adv. Math. 211, No. 2, 436--484 (2007; Zbl 1142.17008) Full Text: DOI
Brundan, Jonathan; Kleshchev, Alexander Shifted Yangians and finite \(W\)-algebras. (English) Zbl 1083.17006 Adv. Math. 200, No. 1, 136-195 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 PDF BibTeX XML Cite \textit{J. Brundan} and \textit{A. Kleshchev}, Adv. Math. 200, No. 1, 136--195 (2006; Zbl 1083.17006) Full Text: DOI arXiv
Gerasimov, Anton; Kharchev, Sergey; Lebedev, Dmitry; Oblezin, Sergey On a class of representations of quantum groups. (English) Zbl 1104.17008 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, 101-110 (2005). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 20G42 PDF BibTeX XML Cite \textit{A. Gerasimov} et al., Contemp. Math. 391, 101--110 (2005; Zbl 1104.17008)
Guay, Nicolas Cherednik algebras and Yangians. (English) Zbl 1096.20006 Int. Math. Res. Not. 2005, No. 57, 3551-3593 (2005). Reviewer: Hu Jun (Beijing) MSC: 20C08 17B37 16D90 05E10 PDF BibTeX XML Cite \textit{N. Guay}, Int. Math. Res. Not. 2005, No. 57, 3551--3593 (2005; Zbl 1096.20006) Full Text: DOI
Nazarov, Maxim Rational representations of Yangians associated with skew Young diagrams. (English) Zbl 1066.17008 Math. Z. 247, No. 1, 21-63 (2004). Reviewer: Earl J. Taft (New Brunswick) MSC: 17B35 16T30 05E10 PDF BibTeX XML Cite \textit{M. Nazarov}, Math. Z. 247, No. 1, 21--63 (2004; Zbl 1066.17008) Full Text: DOI arXiv
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
Arnaudon, D. RTT presentation of ortho-symplectic super Yangians. Staggered integrable spin chains. (English) Zbl 1050.81033 Czech. J. Phys. 52, No. 11, 1165-1170 (2002). MSC: 81R50 81R12 17B37 PDF BibTeX XML Cite \textit{D. Arnaudon}, Czech. J. Phys. 52, No. 11, 1165--1170 (2002; Zbl 1050.81033) Full Text: DOI
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
Molev, A. I.; Olshanski, G. I. Degenerate affine Hecke algebras and centralizer construction for the symmetric groups. (English) Zbl 0990.20005 J. Algebra 237, No. 1, 302-341 (2001). Reviewer: Richard M.Green (Lancaster) MSC: 20C30 20C32 20C08 20M20 PDF BibTeX XML Cite \textit{A. I. Molev} and \textit{G. I. Olshanski}, J. Algebra 237, No. 1, 302--341 (2001; Zbl 0990.20005) Full Text: DOI arXiv
Arnaudon, D. Elliptic algebras and double Yangians: Deformed structures. (English) Zbl 1006.17017 Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 253-267 (2000). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{D. Arnaudon}, in: Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11--14, 1999. Singapore: World Scientific. 253--267 (2000; Zbl 1006.17017)
Arnaudon, D.; Frappat, L.; Ragoucy, É.; Avan, J.; Rossi, M. On elliptic algebras and double Yangians. (English) Zbl 0981.17009 Czech. J. Phys. 50, No. 1, 5-10 (2000). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{D. Arnaudon} et al., Czech. J. Phys. 50, No. 1, 5--10 (2000; Zbl 0981.17009) Full Text: DOI
Varagnolo, Michela Quiver varieties and Yangians. (English) Zbl 0972.17010 Lett. Math. Phys. 53, No. 4, 273-283 (2000). Reviewer: Nicolás Andruskiewitsch (Córdoba) MSC: 17B37 14L30 19D55 PDF BibTeX XML Cite \textit{M. Varagnolo}, Lett. Math. Phys. 53, No. 4, 273--283 (2000; Zbl 0972.17010) Full Text: DOI arXiv
Molev, A. I. Weight bases of Gelfand-Tsetlin type for representations of classical Lie algebras. (English) Zbl 0988.17005 J. Phys. A, Math. Gen. 33, No. 22, 4143-4158 (2000). MSC: 17B10 81R05 PDF BibTeX XML Cite \textit{A. I. Molev}, J. Phys. A, Math. Gen. 33, No. 22, 4143--4158 (2000; Zbl 0988.17005) Full Text: DOI arXiv
Molev, A. I. On Gelfand-Tsetlin bases for representations of classical Lie algebras. (English) Zbl 0993.17007 Krob, Daniel (ed.) et al., Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC’00, Moscow, Russia, June 26-30, 2000. Berlin: Springer. 300-308 (2000). MSC: 17B10 PDF BibTeX XML Cite \textit{A. I. Molev}, in: Formal power series and algebraic combinatorics. Proceedings of the 12th international conference, FPSAC'00, Moscow, Russia, June 26--30, 2000. Berlin: Springer. 300--308 (2000; Zbl 0993.17007)
Ding, J.; Khoroshkin, S. Weyl group extension of quantized current algebras. (English) Zbl 1018.17010 Transform. Groups 5, No. 1, 35-59 (1999). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{J. Ding} and \textit{S. Khoroshkin}, Transform. Groups 5, No. 1, 35--59 (1999; Zbl 1018.17010) Full Text: DOI
Mukhin, E.; Varchenko, A. Functorial properties of the hypergeometric map. (English) Zbl 0974.17015 Jing, Naihuan (ed.) et al., Recent developments in quantum affine algebras and related topics. Proceedings of the international conference on representations of affine and quantum affine algebras and their applications, North Carolina State University, Raleigh, NC, USA, May 21-24, 1998. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 248, 395-418 (1999). Reviewer: A.Klimyk (Kyïv) MSC: 17B37 33D80 81R50 81T40 33D70 32G34 PDF BibTeX XML Cite \textit{E. Mukhin} and \textit{A. Varchenko}, Contemp. Math. 248, 395--418 (1999; Zbl 0974.17015) Full Text: arXiv
Molev, A. I. Finite-dimensional irreducible representations of twisted Yangians. (English) Zbl 0944.17008 J. Math. Phys. 39, No. 10, 5559-5600 (1998). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{A. I. Molev}, J. Math. Phys. 39, No. 10, 5559--5600 (1998; Zbl 0944.17008) Full Text: DOI arXiv
Takemura, Kouichi; Uglov, Denis Level-0 action of \(U_q(\widehat{\mathfrak sl}_n)\) on the \(q\)-deformed Fock spaces. (English) Zbl 0915.17014 Commun. Math. Phys. 190, No. 3, 549-583 (1998). Reviewer: H.Boseck (Greifswald) MSC: 17B37 81R50 82B23 PDF BibTeX XML Cite \textit{K. Takemura} and \textit{D. Uglov}, Commun. Math. Phys. 190, No. 3, 549--583 (1998; Zbl 0915.17014) Full Text: DOI arXiv
Tsiganov, A. V. Automorphisms of \(sl(2)\) and dynamical \(r\)-matrices. (English) Zbl 0961.81026 J. Math. Phys. 39, No. 1, 650-664 (1998). MSC: 81R12 53D50 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, J. Math. Phys. 39, No. 1, 650--664 (1998; Zbl 0961.81026) Full Text: DOI
Nazarov, Maxim; Tarasov, Vitaly On irreducibility of tensor products of Yangian modules. (English) Zbl 0893.17011 Int. Math. Res. Not. 1998, No. 3, 125-150 (1998). Reviewer: V.Drensky (Sofia) MSC: 17B37 16W30 17B10 PDF BibTeX XML Cite \textit{M. Nazarov} and \textit{V. Tarasov}, Int. Math. Res. Not. 1998, No. 3, 125--150 (1998; Zbl 0893.17011) Full Text: DOI arXiv
Nazarov, Maxim Yangians and Capelli identities. (English) Zbl 0927.17007 Olshanski, G. I. (ed.), Kirillov’s seminar on representation theory. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 181(35), 139-163 (1998). Reviewer: Vesselin Drensky (Sofia) MSC: 17B37 16W30 15A72 81R50 16W35 16S30 PDF BibTeX XML Cite \textit{M. Nazarov}, Transl., Ser. 2, Am. Math. Soc. 181, 139--163 (1998; Zbl 0927.17007) Full Text: arXiv
Kulish, P. P.; Stolin, A. A. Deformed Yangians and integrable models. (English) Zbl 0942.81029 Czech. J. Phys. 47, No. 12, 1207-1212 (1997). MSC: 81R50 81R12 37K15 PDF BibTeX XML Cite \textit{P. P. Kulish} and \textit{A. A. Stolin}, Czech. J. Phys. 47, No. 12, 1207--1212 (1997; Zbl 0942.81029) Full Text: DOI arXiv
Stolin, Alexander; Kulish, Petr P. New rational solutions of Yang-Baxter equation and deformed Yangians. (English) Zbl 0942.81018 Czech. J. Phys. 47, No. 1, 123-129 (1997). MSC: 81R50 82B23 17B37 PDF BibTeX XML Cite \textit{A. Stolin} and \textit{P. P. Kulish}, Czech. J. Phys. 47, No. 1, 123--129 (1997; Zbl 0942.81018) Full Text: DOI arXiv
Molev, A.; Nazarov, M.; Ol’shanskij, G. Yangians and classical Lie algebras. (English. Russian original) Zbl 0876.17014 Russ. Math. Surv. 51, No. 2, 205-282 (1996); translation from Usp. Mat. Nauk 51, No. 2, 27-104 (1996). Reviewer: H.Boseck (Greifswald) MSC: 17B37 16W30 17-02 PDF BibTeX XML Cite \textit{A. Molev} et al., Russ. Math. Surv. 51, No. 2, 205--282 (1996; Zbl 0876.17014); translation from Usp. Mat. Nauk 51, No. 2, 27--104 (1996) Full Text: DOI
Chari, Vyjayanthi; Pressley, Andrew Yangians: their representations and characters. (English) Zbl 0876.17013 Acta Appl. Math. 44, No. 1-2, 39-58 (1996). Reviewer: H.Boseck (Greifswald) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{V. Chari} and \textit{A. Pressley}, Acta Appl. Math. 44, No. 1--2, 39--58 (1996; Zbl 0876.17013) Full Text: DOI arXiv
Chari, Vyjayanthi; Pressley, Andrew Yangians, integrable quantum systems and Dorey’s rule. (English) Zbl 0869.17015 Commun. Math. Phys. 181, No. 2, 265-302 (1996). Reviewer: H.Boseck (Greifswald) MSC: 17B37 81R50 17B81 82B23 81T40 PDF BibTeX XML Cite \textit{V. Chari} and \textit{A. Pressley}, Commun. Math. Phys. 181, No. 2, 265--302 (1996; Zbl 0869.17015) Full Text: DOI arXiv
Kuniba, Atsuo; Ohta, Yasuhiro; Suzuki, Junji Quantum Jacobi-Trudi and Giambelli formulae for \(U_ q(B_ r^{(1)})\) from the analytic Bethe ansatz. (English) Zbl 0871.17015 J. Phys. A, Math. Gen. 28, No. 21, 6211-6226 (1995). MSC: 17B37 05E10 81R50 PDF BibTeX XML Cite \textit{A. Kuniba} et al., J. Phys. A, Math. Gen. 28, No. 21, 6211--6226 (1995; Zbl 0871.17015) Full Text: DOI arXiv
Knight, Harold Spectra of tensor products of finite dimensional representations of Yangians. (English) Zbl 0868.17009 J. Algebra 174, No. 1, 187-196 (1995). Reviewer: V.Stukopin (Rostov-na-Donu) MSC: 17B37 PDF BibTeX XML Cite \textit{H. Knight}, J. Algebra 174, No. 1, 187--196 (1995; Zbl 0868.17009) Full Text: DOI
Molev, Alexander Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras. (English) Zbl 0861.17009 J. Math. Phys. 36, No. 2, 923-943 (1995). MSC: 17B37 17B35 16W30 PDF BibTeX XML Cite \textit{A. Molev}, J. Math. Phys. 36, No. 2, 923--943 (1995; Zbl 0861.17009) Full Text: DOI
Chari, Vyjayanthi; Pressley, Andrew A guide to quantum groups. (English) Zbl 0839.17010 Cambridge: Cambridge University Press. xv, 651 p. (1995). Reviewer: J.S.Joel (Kelly) MSC: 17B37 17-02 16W30 81R50 57M25 37J35 37K10 PDF BibTeX XML Cite \textit{V. Chari} and \textit{A. Pressley}, A guide to quantum groups. Cambridge: Cambridge University Press (1995; Zbl 0839.17010)
Stukopin, V. A. Yangians of Lie superalgebras of type \(A(m,n)\). (English. Russian original) Zbl 0862.17011 Funct. Anal. Appl. 28, No. 3, 217-219 (1994); translation from Funkts. Anal. Prilozh. 28, No. 3, 85-88 (1994). MSC: 17B37 16T20 17A70 PDF BibTeX XML Cite \textit{V. A. Stukopin}, Funct. Anal. Appl. 28, No. 3, 217--219 (1994; Zbl 0862.17011); translation from Funkts. Anal. Prilozh. 28, No. 3, 85--88 (1994) Full Text: DOI
Abdalla, E.; Abdalla, M. C. B.; Brunelli, J. C.; Zadra, A. The algebra of non-local charges in nonlinear sigma models. (English) Zbl 0826.17032 Commun. Math. Phys. 166, No. 2, 379-396 (1994). MSC: 17B81 81T10 81R40 17B67 PDF BibTeX XML Cite \textit{E. Abdalla} et al., Commun. Math. Phys. 166, No. 2, 379--396 (1994; Zbl 0826.17032) Full Text: DOI arXiv
Nazarov, Maxim; Tarasov, Vitaly Yangians and Gelfand-Zetlin bases. (English) Zbl 0929.17009 Publ. Res. Inst. Math. Sci. 30, No. 3, 459-478 (1994). Reviewer: Andrew Pressley (London) MSC: 17B37 81R10 81R50 PDF BibTeX XML Cite \textit{M. Nazarov} and \textit{V. Tarasov}, Publ. Res. Inst. Math. Sci. 30, No. 3, 459--478 (1994; Zbl 0929.17009) Full Text: DOI arXiv
Molev, A. I. Gelfand-Tsetlin basis for representations of Yangians. (English) Zbl 0787.17014 Lett. Math. Phys. 30, No. 1, 53-60 (1994). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{A. I. Molev}, Lett. Math. Phys. 30, No. 1, 53--60 (1994; Zbl 0787.17014) Full Text: DOI
Kirillov, A. N.; Reshetikhin, N. Yu. Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras. (Russian. English summary) Zbl 0815.17007 Zap. Nauchn. Semin. POMI 205, 30-37 (1993). Reviewer: P.Grushko (Irkutsk) MSC: 17B10 17B20 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin}, Zap. Nauchn. Semin. POMI 205, 30--37 (1993; Zbl 0815.17007) Full Text: EuDML
Bernard, Denis An introduction to Yangian symmetries. (English) Zbl 0861.35085 Bonora, L. (ed.) et al., Integrable quantum field theories. Proceedings of a NATO Advanced Research Workshop, Como, Italy, September 14-19, 1992. New York, NY: Plenum Press. NATO Advanced Study Institutes Series, Series B. 310, 39-52 (1993). MSC: 35Q40 81T40 58J70 PDF BibTeX XML Cite \textit{D. Bernard}, in: Integrable quantum field theories. Proceedings of a NATO Advanced Research Workshop, Como, Italy, September 14-19, 1992. New York, NY: Plenum Press. 39--52 (1993; Zbl 0861.35085)
Kirillov, A. N.; Reshetikhin, N. Yu. Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. (English. Russian original) Zbl 0860.17008 J. Math. Sci., New York 80, No. 3, 1768-1772 (1996). MSC: 17B10 17B20 PDF BibTeX XML Cite \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin}, J. Math. Sci., New York 80, No. 1, 30--37 (1993; Zbl 0860.17008) Full Text: DOI
Bernard, Denis An introduction to Yangian symmetries. (English) Zbl 0805.35102 Int. J. Mod. Phys. B 7, No. 20-21, 3517-3530 (1993). MSC: 35Q40 58J70 81T13 PDF BibTeX XML Cite \textit{D. Bernard}, Int. J. Mod. Phys. B 7, No. 20--21, 3517--3530 (1993; Zbl 0805.35102) Full Text: DOI arXiv
Tarasov, Vitaly Cyclic monodromy matrices for \(sl(n)\) trigonometric \(R\)-matrices. (English) Zbl 0804.17011 Commun. Math. Phys. 158, No. 3, 459-483 (1993). Reviewer: S.Khoroshkin (Moskva) MSC: 17B37 82B23 81R50 PDF BibTeX XML Cite \textit{V. Tarasov}, Commun. Math. Phys. 158, No. 3, 459--483 (1993; Zbl 0804.17011) Full Text: DOI arXiv
Levendorskij, Serge Z. On PBW bases for Yangians. (English) Zbl 0781.17004 Lett. Math. Phys. 27, No. 1, 37-42 (1993). Reviewer: A.N.Pressley (London) MSC: 17B37 81R50 82B23 PDF BibTeX XML Cite \textit{S. Z. Levendorskij}, Lett. Math. Phys. 27, No. 1, 37--42 (1993; Zbl 0781.17004) Full Text: DOI
Ol’shanskiĭ, G. I. Twisted Yangians and infinite-dimensional classical Lie algebras. (English) Zbl 0780.17025 Quantum groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad/USSR 1990, Lect. Notes Math. 1510, 104-119 (1992). Reviewer: N.Backhouse (Liverpool) MSC: 17B65 17B37 PDF BibTeX XML Cite \textit{G. I. Ol'shanskiĭ}, Lect. Notes Math. 1510, 104--119 (1992; Zbl 0780.17025) Full Text: DOI
Bernard, Denis; Leclair, André Non-local currents in 2D QFT: An alternative to the quantum inverse scattering method. (English) Zbl 0754.17025 Quantum groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad/USSR 1990, Lect. Notes Math. 1510, 176-196 (1992). Reviewer: E.Frenkel (Cambridge / Mass.) MSC: 17B81 81R50 81T40 PDF BibTeX XML Cite \textit{D. Bernard} and \textit{A. Leclair}, Lect. Notes Math. 1510, 176--196 (1992; Zbl 0754.17025)
Nazarov, M. L. Yangians of the “strange” Lie superalgebras. (English) Zbl 0851.17020 Quantum groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad/USSR 1990, Lect. Notes Math. 1510, 90-97 (1992). MSC: 17B37 16T25 PDF BibTeX XML Cite \textit{M. L. Nazarov}, Lect. Notes Math. 1510, 90--97 (1992; Zbl 0851.17020) Full Text: DOI
MacKay, N. J. Rational \(R\)-matrices in irreducible representations. (English) Zbl 0753.17037 J. Phys. A, Math. Gen. 24, No. 17, 4017-4026 (1991). Reviewer: A.Stolin (Rehovot) MSC: 17B81 81R50 81R05 22E70 PDF BibTeX XML Cite \textit{N. J. MacKay}, J. Phys. A, Math. Gen. 24, No. 17, 4017--4026 (1991; Zbl 0753.17037) Full Text: DOI
Ol’shanskij, G. I. Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians. (English) Zbl 0739.22015 Topics in representation theory, Adv. Sov. Math. 2, 1-66 (1991). Reviewer: M.Boral (Adana) MSC: 22E65 17B65 17B35 20C32 16W30 PDF BibTeX XML
Bernard, Denis Hidden Yangians in 2D massive current algebras. (English) Zbl 0736.17030 Commun. Math. Phys. 137, No. 1, 191-208 (1991). MSC: 17B81 PDF BibTeX XML Cite \textit{D. Bernard}, Commun. Math. Phys. 137, No. 1, 191--208 (1991; Zbl 0736.17030) Full Text: DOI
Ol’shanskij, G. I. Extension of the algebra \({\mathcal U}({\mathfrak g})\) for infinite-dimensional classical Lie algebras \({\mathfrak g}\) and the Yangians \(Y(\mathfrak{gl}(m))\). (English. Russian original) Zbl 0662.22016 Sov. Math., Dokl. 36, No. 3, 569-573 (1988); translation from Dokl. Akad. Nauk SSSR 297, 1050-1054 (1987). Reviewer: M.Boral MSC: 22E65 22E70 81T08 17B35 PDF BibTeX XML Cite \textit{G. I. Ol'shanskij}, Sov. Math., Dokl. 36, No. 3, 569--573 (1988; Zbl 0662.22016); translation from Dokl. Akad. Nauk SSSR 297, 1050--1054 (1987)
Drinfel’d, V. G. Degenerate affine Hecke algebras and Yangians. (English. Russian original) Zbl 0599.20049 Funct. Anal. Appl. 20, 58-60 (1986); translation from Funkts. Anal. Prilozh. 20, No. 1, 69-70 (1986). Reviewer: L.N.Vaserstein MSC: 20C08 20G05 16T25 17B37 PDF BibTeX XML Cite \textit{V. G. Drinfel'd}, Funct. Anal. Appl. 20, 58--60 (1986; Zbl 0599.20049); translation from Funkts. Anal. Prilozh. 20, No. 1, 69--70 (1986) Full Text: DOI