Found 100 Documents (Results 1–100)
A note on constructing quasi modules for quantum vertex algebras from twisted Yangians. (English) Zbl 07815060
Reviewer: Hideya Watanabe (Kyōto)
Irreducible \(Y(\mathfrak{gl}_{n+1})\)-module structures on a commutative subalgebra. (English) Zbl 07808745
The centralizer construction and Yangian-type algebras. (English) Zbl 1536.17021
Reviewer: Slaven Kozic (Zagreb)
Remarks on Yangian-type algebras and double Poisson brackets. (English. Russian original) Zbl 07830230
Funct. Anal. Appl. 57, No. 4, 326-336 (2023); translation from Funkts. Anal. Prilozh. 57, No. 4, 75-88 (2023).
Affine super-Yangian and a quantum Weyl groupoid. (English. Russian original) Zbl 1521.81103
Theor. Math. Phys. 216, No. 3, 1313-1325 (2023); translation from Teor. Mat. Fiz. 216, No. 3, 476-489 (2023).
A note on the center of the super Yangian \(Y_{M|N}(\mathfrak{s})\). (English) Zbl 1530.17011
Reviewer: Sorin Dascalescu (Bucureşti)
MSC:
17B37
Spectra of Bethe subalgebras of \(Y(\mathfrak{gl}_n)\) in tame representations. (English) Zbl 1523.16041
Rational Lax matrices from antidominantly shifted extended Yangians: BCD types. (English) Zbl 1514.17014
Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type. (English) Zbl 1514.17013
A note on odd reflections of super Yangian and Bethe ansatz. (English) Zbl 1500.17014
Reviewer: Marijana Butorac (Rijeka)
Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians. (English) Zbl 1484.14095
Reviewer: Mee Seong Im (Annapolis)
MSC:
14M15
\( W \)-algebras via Lax type operators. (English) Zbl 1471.81043
Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 181-198 (2021).
Gauss coordinates vs currents for the Yangian doubles of the classical types. (English) Zbl 1462.82014
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
Yangians and Baxter’s relations. (English) Zbl 1476.17011
Reviewer: Li Luo (Shanghai)
Bethe subalgebras in braided Yangians and Gaudin-type models. (English) Zbl 1475.37063
Reviewer: Kazuhiro Hikami (Fukuoka)
KZ equations and Bethe subalgebras in generalized Yangians related to compatible \(R\)-matrices. (English) Zbl 1482.81020
Shifted quantum affine algebras: integral forms in type \(A\). (English) Zbl 1469.17014
Reviewer: Huafeng Zhang (Villeneuve d’Ascq)
Representations of twisted Yangians of types B, C, D. II. (English) Zbl 1472.17052
Reviewer: Rutwig Campoamor Stursberg (Madrid)
Minimal-dimensional representations of reduced enveloping algebras for \(\mathfrak{gl}_{n}\). (English) Zbl 1447.17008
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)
Equivalences between three presentations of orthogonal and symplectic Yangians. (English) Zbl 1472.17051
Homomorphisms between different quantum toroidal and affine Yangian algebras. (English) Zbl 1460.17019
A Lax type operator for quantum finite \(W\)-algebras. (English) Zbl 1456.17008
Reviewer: Dmitry Artamonov (Moskva)
Coproduct for Yangians of affine Kac-Moody algebras. (English) Zbl 1447.17012
Reviewer: Sonia Natale (Córdoba)
Representations of twisted Yangians of types B, C, D: I. (English) Zbl 1375.81126
Reviewer: Rutwig Campoamor-Stursberg (Madrid)
Twisted Yangians for symmetric pairs of types B, C, D. (English) Zbl 1401.17014
Reviewer: Sorin Dascalescu (Bucureşti)
Secret symmetries of type IIB superstring theory on \(\mathrm{AdS}_{3} \times {S}^{3}\times {M}^{4}\). (English) Zbl 1304.81138
Principal realization of twisted Yangian \({Y(\mathfrak{g}_{N})}\). (English) Zbl 1315.17012
MSC:
17B37
Yangians in integrable field theories, spin chains and gauge-string dualities. (English) Zbl 1243.81090
Rational representations of the Yangian \(\text Y(\mathfrak {gl}_n)\). (English) Zbl 1282.17011
MSC:
17B10
Yangians and cohomology rings of Laumon spaces. (English) Zbl 1260.14015
Reviewer: Cenap Özel (Bolu)
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).
Representations of twisted \(q\)-Yangians. (English) Zbl 1206.81060
Reviewer: Gastón Andrés García (Córdoba)
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)
On Drinfeld’s second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian. (English) Zbl 1167.81415
Affine Yangians and deformed double current algebras in type \(A\). (English) Zbl 1142.17008
Reviewer: Steffen König (Köln)
Shifted Yangians and finite \(W\)-algebras. (English) Zbl 1083.17006
Reviewer: Volodymyr Mazorchuk (Uppsala)
MSC:
17B37
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)
Cherednik algebras and Yangians. (English) Zbl 1096.20006
Reviewer: Hu Jun (Beijing)
Rational representations of Yangians associated with skew Young diagrams. (English) Zbl 1066.17008
Reviewer: Earl J. Taft (New Brunswick)
Representations of twisted Yangians associated with skew Young diagrams. (English) Zbl 1055.17004
Reviewer: Li Fang (Hangzhou)
RTT presentation of ortho-symplectic super Yangians. Staggered integrable spin chains. (English) Zbl 1050.81033
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).
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups. (English) Zbl 0990.20005
Reviewer: Richard M.Green (Lancaster)
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).
Quiver varieties and Yangians. (English) Zbl 0972.17010
Reviewer: Nicolás Andruskiewitsch (Córdoba)
Weight bases of Gelfand-Tsetlin type for representations of classical Lie algebras. (English) Zbl 0988.17005
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
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)
Level-0 action of \(U_q(\widehat{\mathfrak sl}_n)\) on the \(q\)-deformed Fock spaces. (English) Zbl 0915.17014
Reviewer: H.Boseck (Greifswald)
On irreducibility of tensor products of Yangian modules. (English) Zbl 0893.17011
Reviewer: V.Drensky (Sofia)
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)
Yangians: their representations and characters. (English) Zbl 0876.17013
Reviewer: H.Boseck (Greifswald)
Yangians, integrable quantum systems and Dorey’s rule. (English) Zbl 0869.17015
Reviewer: H.Boseck (Greifswald)
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: Helmut Boseck (Greifswald)
Spectra of tensor products of finite dimensional representations of Yangians. (English) Zbl 0868.17009
Reviewer: V.Stukopin (Rostov-na-Donu)
MSC:
17B37
Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras. (English) Zbl 0861.17009
A guide to quantum groups. (English) Zbl 0839.17010
Cambridge: Cambridge University Press. xv, 651 p. (1995).
Reviewer: J.S.Joel (Kelly)
Quantum Jacobi-Trudi and Giambelli formulae for \(U_ q(B_ r^{(1)})\) from the analytic Bethe ansatz. (English) Zbl 0871.17015
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).
Yangians and Gelfand-Zetlin bases. (English) Zbl 0929.17009
Reviewer: Andrew Pressley (London)
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).
Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. (English. Russian original) Zbl 0860.17008
Cyclic monodromy matrices for \(sl(n)\) trigonometric \(R\)-matrices. (English) Zbl 0804.17011
Reviewer: S.Khoroshkin (Moskva)
Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras. (Russian. English summary) Zbl 0815.17007
Reviewer: P.Grushko (Irkutsk)
On PBW bases for Yangians. (English) Zbl 0781.17004
Reviewer: A.N.Pressley (London)
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)
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.)
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).
Hidden Yangians in 2D massive current algebras. (English) Zbl 0736.17030
MSC:
17B81
Rational \(R\)-matrices in irreducible representations. (English) Zbl 0753.17037
Reviewer: A.Stolin (Rehovot)
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)
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: Melih Boral (Istanbul)
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 (University Park)
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