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
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
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
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
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
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
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
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 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
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
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)
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
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
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)
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
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
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
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)