Edit Profile (opens in new tab) Reshetikhin, Nikolai Yu. Compute Distance To: Compute Author ID: reshetikhin.nikolai-yu Published as: Reshetikhin, Nicolai; Reshetikhin, N. Yu.; Reshetikhin, N.; Reshetikhin, Nikolai; Reshetikhin, Nikolai Yu. more...less External Links: MGP · Wikidata · GND Documents Indexed: 130 Publications since 1979, including 1 Book 2 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 79 Co-Authors with 103 Joint Publications 2,675 Co-Co-Authors all top 5 Co-Authors 29 single-authored 19 Kirillov, Anatol N. 6 Cattaneo, Alberto Sergio 6 Kulish, Petr Petrovich 6 Mnëv, Pavel 5 Bazhanov, Vladimir V. 5 Frenkel, Edward V. 5 Takhtajan, Leon Armenovich 4 Kashaev, Rinat M. 4 Mattes, Josef 4 Okun’kov, Andreĭ Yur’evich 4 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 4 Sridhar, Ananth 4 Stokman, Jasper V. 3 Faddeev, Lyudvig Dmitrievich 3 Lakshmibai, Venkatramani 3 Vlaar, Bart 2 Andersen, Jørgen Ellegaard 2 Cimasoni, David 2 De Concini, Corrado 2 Frenkel, Igor B. 2 Geer, Nathan 2 Keating, David A. 2 Kerov, Sergei V. 2 Polyak, Michael 2 Sklyanin, Evgeny K. 2 Smirnov, Fedor A. 2 Turaev, Vladimir Georgievich 2 Vershik, Anatoliĭ Moiseevich 2 Yakimov, Milen T. 1 Allison, David 1 Apushkinskaya, Darya E. 1 Aref’eva, Irina Yaroslavna 1 Arthamonov, Semeon 1 Baxter, Rodney J. 1 Birman, Joan S. 1 Bisch, Dietmar H. 1 Blanchet, Christian 1 Bobenko, Alexander Ivanovich 1 Bourgain, Jean 1 Boutillier, Cédric 1 Chen, Qingtao 1 Conder, Marsteon 1 Connes, Alain 1 Daskalopoulos, Panagiota 1 de la Harpe, Pierre 1 Di Francesco, Philippe 1 Dumbaugh, Della 1 Evans, David E. 1 Feĭgin, Boris L’vovich 1 Flato, Moshé 1 Freedman, Michael Hartley 1 Ginzburg, Victor 1 Goodman, Fred J. 1 Guionnet, Alice 1 Hernandez, David 1 Hoffmann, Tim 1 Its, Alexander Rudolfovich 1 Izumi, Masaki 1 Jaffe, Arthur Michael 1 Kapitanski, Lev 1 Kawahigashi, Yasuyuki 1 Kellendonk, Johannes 1 Kesten, Harry 1 Kirby, Robion Cromwell 1 Kitanine, Nikolai 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Kutz, Nadja 1 Lehrer, Gustav Isaac 1 Lepowsky, James 1 Longo, Roberto 1 Martin, Gaven J. 1 Maslov, Viktor Pavlovich 1 Mkrtchyan, Sevak 1 Nazarov, Alexander I. 1 Nepomechie, Rafael I. 1 Novikov, Sergeĭ Petrovich 1 Patureau-Mirand, Bertrand 1 Polyakov, Aleksandr Markovich 1 Popa, Sorin Teodor 1 Postnova, Olga V. 1 Procesi, Claudio 1 Ratcliffe, John G. 1 Rosso, Marc 1 Saleur, Hubert 1 Sally, Paul J. jun. 1 Schrader, Gus 1 Shatashvili, Samson L. 1 Shlyakhtenko, Dimitri L. 1 Skandalis, Georges 1 Stroppel, Catharina H. 1 Sutherland, Colin E. 1 Tingley, Peter W. 1 Vafa, Cumrun 1 Vasserot, Eric 1 Vertman, Boris 1 Voronov, Alexander A. 1 Webster, Ben 1 Weinstein, Alan David 1 Witten, Edward ...and 3 more Co-Authors all top 5 Serials 26 Communications in Mathematical Physics 13 Letters in Mathematical Physics 9 Journal of Soviet Mathematics 9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 5 Journal of Physics A: Mathematical and General 4 Journal of Mathematical Sciences (New York) 3 Inventiones Mathematicae 3 Notices of the American Mathematical Society 2 Nuclear Physics. B 2 Advances in Mathematics 2 Leningrad Mathematical Journal 2 IMRN. International Mathematics Research Notices 2 Annales Henri Poincaré 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics A 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Functional Analysis and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Topology 1 Journal of the American Mathematical Society 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Knot Theory and its Ramifications 1 Zapiski Nauchnykh Seminarov POMI 1 Selecta Mathematica. New Series 1 Moscow Mathematical Journal 1 Contemporary Mathematics all top 5 Fields 70 Quantum theory (81-XX) 64 Nonassociative rings and algebras (17-XX) 25 Associative rings and algebras (16-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Topological groups, Lie groups (22-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Differential geometry (53-XX) 16 Manifolds and cell complexes (57-XX) 14 Partial differential equations (35-XX) 12 Group theory and generalizations (20-XX) 10 Combinatorics (05-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Algebraic geometry (14-XX) 6 History and biography (01-XX) 6 Mechanics of particles and systems (70-XX) 5 Probability theory and stochastic processes (60-XX) 4 Special functions (33-XX) 3 Category theory; homological algebra (18-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 109 Publications have been cited 3,914 times in 2,913 Documents Cited by ▼ Year ▼ Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007Reshetikhin, N.; Turaev, V. G. 461 1991 Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003Reshetikhin, N. Yu.; Turaev, V. G. 358 1990 Quantization of Lie groups and Lie algebras. Zbl 0715.17015Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 266 1990 Yang-Baxter equation and representation theory. I. Zbl 0502.35074Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K. 215 1981 Quantum affine algebras and holonomic difference equations. Zbl 0760.17006Frenkel, I. B.; Reshetikhin, N. Yu. 190 1992 Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134Okounkov, Andrei; Reshetikhin, Nikolai 163 2003 Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006Reshetikhin, N. 137 1990 The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015Frenkel, Edward; Reshetikhin, Nicolai 126 1999 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 106 2006 Quantum R-matrices and factorization problems. Zbl 0711.17008Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 96 1988 Diagonalisation of \(\text{GL}(N)\) invariant transfer matrices and quantum \(N\)-wave system (Lee model). Zbl 0545.35082Kulish, P. P.; Reshetikhin, N. Yu. 93 1983 Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai 91 1994 q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014Kirillov, A. N.; Reshetikhin, N. 84 1990 Central extensions of quantum current groups. Zbl 0692.22011Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 81 1990 Representations of the algebra \(U_ q(sl(2))\), \(q\)-orthogonal polynomials and invariants of links. Zbl 0742.17018Kirillov, A. N.; Reshetikhin, N. Yu. 72 1989 Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024Bazhanov, V. V.; Reshetikhin, N. 62 1990 Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008Kulish, P. P.; Reshetikhin, N. Yu. 59 1989 Random skew plane partitions and the Pearcey process. Zbl 1115.60011Okounkov, Andrei; Reshetikhin, Nicolai 58 2007 Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014Frenkel, Edward; Reshetikhin, Nikolai 55 1996 The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029Kirillov, A. N.; Reshetikhin, N. Yu. 53 1988 Quantization of Lie groups and Lie algebras. Zbl 0677.17010Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 51 1989 Classical BV theories on manifolds with boundary. Zbl 1302.81141Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 44 2014 Critical RSOS models and conformal field theory. Zbl 0693.58046Bazhanov, V. V.; Reshetikhin, N. Yu. 44 1989 Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011Frenkel, Edward; Reshetikhin, Nicolai 43 1998 Dimers on surface graphs and spin structures. I. Zbl 1135.82006Cimasoni, David; Reshetikhin, Nicolai 38 2007 The birth of a random matrix. Zbl 1130.15014Okounkov, Andrei; Reshetikhin, Nicolai 35 2006 Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025Kirillov, A. N.; Reshetikhin, N. Yu. 33 1986 Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras. Zbl 0900.16047Kirillov, A. N.; Reshetikhin, N. Yu. 29 1987 Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077Reshetikhin, N.; Smirnov, F. 29 1990 The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006Reshetikhin, N. Yu. 27 1987 Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015Reshetikhin, N. 26 1992 Quantization of the algebra of chord diagrams. Zbl 0943.57007Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 25 1998 The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027Kirillov, A. N.; Reshetikhin, N. Yu. 25 1986 Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306Allison, David; Reshetikhin, Nicolai 25 2005 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 24 1986 The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016Reshetikhin, Nicolai 23 1992 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 23 1988 Lectures on the integrability of the six-vertex model. Zbl 1202.82022Reshetikhin, N. 22 2010 Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 22 2018 The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 22 1996 Quantum groups and flag varieties. Zbl 0818.17018Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric 21 1994 Drinfeld-Sokolov reduction for difference operators and deformations of \({\mathcal W}\)-algebras. I: The case of Virasoro algebra. Zbl 0916.17020Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A. 20 1998 Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai 19 2000 Quantum flag and Schubert schemes. Zbl 0792.17012Lakshmibai, V.; Reshetikhin, N. 18 1992 Deformation quantization of Kähler manifolds. Zbl 1003.53061Reshetikhin, N.; Takhtajan, L. A. 18 2000 Exact solution of the Heisenberg XXZ model of spin s. Zbl 0612.35029Kirillov, A. N.; Reshetikhin, N. Yu. 17 1986 Degenerately integrable systems. Zbl 1369.70035Reshetikhin, N. 17 2016 Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058Reshetikhin, N. 15 2003 Hopf algebras with trace and representations. Zbl 1132.17007De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M. 15 2005 A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093Reshetikhin, N. Yu. 14 1991 Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016Reshetikhin, N. Yu. 14 1990 \(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024Reshetikhin, N. 12 1991 Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009Reshetikhin, N. 12 1995 Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras. Zbl 0637.16007Kirillov, A. N.; Reshetikhin, N. Yu. 12 1987 Dimers on surface graphs and spin structures. II. Zbl 1168.82012Cimasoni, David; Reshetikhin, Nicolai 12 2008 Integrability of limit shapes of the six vertex model. Zbl 1377.82022Reshetikhin, Nicolai; Sridhar, Ananth 11 2017 Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116Bazhanov, V.; Bobenko, A.; Reshetikhin, N. 11 1996 Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter 11 2012 \(\mathrm{O}(N)\) invariant quantum field theoretical models: exact solution. Zbl 1223.81132Reshetikhin, N. Yu. 11 1985 Limit shapes of the stochastic six vertex model. Zbl 1400.82055Reshetikhin, Nicolai; Sridhar, Ananth 9 2018 Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043Reshetikhin, N. 9 2003 Remarks on the quantum dilogarithm. Zbl 0876.17035Bazhanov, V. V.; Reshetikhin, N. Yu. 9 1995 Lectures on quantization of gauge systems. Zbl 1235.83004Reshetikhin, N. 9 2010 Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083Reshetikhin, Nicolai 9 2017 Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026Reshetikhin, N. Yu. 8 1991 Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 8 2015 Quantization of Lie bialgebras. Zbl 0760.17012Reshetikhin, N. 7 1992 Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041Kashaev, R. M.; Reshetikhin, N. 7 1997 Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063Kulish, P. P.; Reshetikhin, N. Yu. 7 1979 Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. Zbl 0860.17008Kirillov, A. N.; Reshetikhin, N. Yu. 7 1993 Asymptotic shapes with free boundaries. Zbl 1234.05051Di Francesco, Philippe; Reshetikhin, Nicolai 7 2012 Semiclassical quantization of classical field Theories. Zbl 1315.81095Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 7 2015 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013Reshetikhin, N. Yu. 6 1988 Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013Kirillov, A. N.; Reshetikhin, N. Yu. 6 1988 Semiquantum geometry. Zbl 0896.17004Reshetikhin, N.; Voronov, A.; Weinstein, A. 5 1996 Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 4 2016 Quantum supergroups. Zbl 0791.17013Reshetikhin, N. 4 1992 Schur-Weyl-type duality for quantized \(\mathfrak{gl}(1|1)\), the Burau representation of braid groups, and invariants of tangled graphs. Zbl 1268.20040Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben 4 2012 On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306Polyak, Michael; Reshetikhin, Nicolai 4 1997 A cellular topological field theory. Zbl 07178356Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 4 2020 Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011Reshetikhin, Nicolai; Vertman, Boris 4 2015 On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai 3 1993 Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099Reshetikhin, Nicolai; Yakimov, Milen 3 2000 Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011Frenkel, I. B.; Reshetikhin, N. Yu. 3 1992 Invariants of tangles with flat connections in their complements. Zbl 1083.57018Kashaev, R.; Reshetikhin, N. 3 2005 Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011Kashaev, Rinat; Reshetikhin, Nicolai 3 2005 On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035Postnova, Olga; Reshetikhin, Nicolai 3 2020 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014Lakshmibai, V.; Reshetikhin, N. 2 1991 The exact solution of the Heisenberg XXZ-model of the spin S. Zbl 0586.35032Kirillov, A. N.; Reshetikhin, N. Yu. 2 1985 Quantum invariant measures. Zbl 1009.20060Reshetikhin, Nicolai; Yakimov, Milen 2 2001 Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512Reshetikhin, N. Yu.; Saleur, H. 2 1994 Topological quantum field theory: 20 years later. Zbl 1237.57032Reshetikhin, Nicolai 2 2010 Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 2 2018 Semiclassical geometry of integrable systems. Zbl 1390.81231Reshetikhin, Nicolai 2 2018 Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040Bazhanov, V. V.; Reshetikhin, N. Yu. 2 1990 Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057Reshetikhin, Nicolai 2 2021 Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1397.81094Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 1 2018 Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066Kashaev, Rinat M.; Reshetikhin, Nikolai Yu. 1 1999 Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1393.81014Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 1 2018 Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057Reshetikhin, Nicolai 2 2021 A cellular topological field theory. Zbl 07178356Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 4 2020 On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035Postnova, Olga; Reshetikhin, Nicolai 3 2020 Holonomy braidings, biquandles and quantum invariants of links with \(\mathsf{SL}_2(\mathbb{C})\) flat connections. Zbl 1441.57010Blanchet, Christian; Geer, Nathan; Patureau-Mirand, Bertrand; Reshetikhin, Nicolai 1 2020 Conformal limit for dimer models on the hexagonal lattice. Zbl 1431.82009Keating, D.; Reshetikhin, N.; Sridhar, A. 1 2019 Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 22 2018 Limit shapes of the stochastic six vertex model. Zbl 1400.82055Reshetikhin, Nicolai; Sridhar, Ananth 9 2018 Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 2 2018 Semiclassical geometry of integrable systems. Zbl 1390.81231Reshetikhin, Nicolai 2 2018 Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1397.81094Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 1 2018 Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1393.81014Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 1 2018 Integrability of limit shapes of the six vertex model. Zbl 1377.82022Reshetikhin, Nicolai; Sridhar, Ananth 11 2017 Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083Reshetikhin, Nicolai 9 2017 Degenerately integrable systems. Zbl 1369.70035Reshetikhin, N. 17 2016 Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 4 2016 Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 8 2015 Semiclassical quantization of classical field Theories. Zbl 1315.81095Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 7 2015 Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011Reshetikhin, Nicolai; Vertman, Boris 4 2015 Classical BV theories on manifolds with boundary. Zbl 1302.81141Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 44 2014 Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter 11 2012 Asymptotic shapes with free boundaries. Zbl 1234.05051Di Francesco, Philippe; Reshetikhin, Nicolai 7 2012 Schur-Weyl-type duality for quantized \(\mathfrak{gl}(1|1)\), the Burau representation of braid groups, and invariants of tangled graphs. Zbl 1268.20040Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben 4 2012 Lectures on the integrability of the six-vertex model. Zbl 1202.82022Reshetikhin, N. 22 2010 Lectures on quantization of gauge systems. Zbl 1235.83004Reshetikhin, N. 9 2010 Topological quantum field theory: 20 years later. Zbl 1237.57032Reshetikhin, Nicolai 2 2010 Dimers on surface graphs and spin structures. II. Zbl 1168.82012Cimasoni, David; Reshetikhin, Nicolai 12 2008 Random skew plane partitions and the Pearcey process. Zbl 1115.60011Okounkov, Andrei; Reshetikhin, Nicolai 58 2007 Dimers on surface graphs and spin structures. I. Zbl 1135.82006Cimasoni, David; Reshetikhin, Nicolai 38 2007 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 106 2006 The birth of a random matrix. Zbl 1130.15014Okounkov, Andrei; Reshetikhin, Nicolai 35 2006 Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306Allison, David; Reshetikhin, Nicolai 25 2005 Hopf algebras with trace and representations. Zbl 1132.17007De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M. 15 2005 Invariants of tangles with flat connections in their complements. Zbl 1083.57018Kashaev, R.; Reshetikhin, N. 3 2005 Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011Kashaev, Rinat; Reshetikhin, Nicolai 3 2005 Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134Okounkov, Andrei; Reshetikhin, Nikolai 163 2003 Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058Reshetikhin, N. 15 2003 Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043Reshetikhin, N. 9 2003 Quantum invariant measures. Zbl 1009.20060Reshetikhin, Nicolai; Yakimov, Milen 2 2001 Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai 19 2000 Deformation quantization of Kähler manifolds. Zbl 1003.53061Reshetikhin, N.; Takhtajan, L. A. 18 2000 Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099Reshetikhin, Nicolai; Yakimov, Milen 3 2000 Characteristic systems on Poisson Lie groups and their quantization. Zbl 1015.53050Reshetikhin, Nicolai 1 2000 The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015Frenkel, Edward; Reshetikhin, Nicolai 126 1999 Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066Kashaev, Rinat M.; Reshetikhin, Nikolai Yu. 1 1999 Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011Frenkel, Edward; Reshetikhin, Nicolai 43 1998 Quantization of the algebra of chord diagrams. Zbl 0943.57007Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 25 1998 Drinfeld-Sokolov reduction for difference operators and deformations of \({\mathcal W}\)-algebras. I: The case of Virasoro algebra. Zbl 0916.17020Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A. 20 1998 Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041Kashaev, R. M.; Reshetikhin, N. 7 1997 On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306Polyak, Michael; Reshetikhin, Nicolai 4 1997 Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014Frenkel, Edward; Reshetikhin, Nikolai 55 1996 The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 22 1996 Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116Bazhanov, V.; Bobenko, A.; Reshetikhin, N. 11 1996 Semiquantum geometry. Zbl 0896.17004Reshetikhin, N.; Voronov, A.; Weinstein, A. 5 1996 Integrable discrete systems. Zbl 0862.35117Reshetikhin, N. 1 1996 Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009Reshetikhin, N. 12 1995 Remarks on the quantum dilogarithm. Zbl 0876.17035Bazhanov, V. V.; Reshetikhin, N. Yu. 9 1995 Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai 91 1994 Quantum groups and flag varieties. Zbl 0818.17018Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric 21 1994 Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512Reshetikhin, N. Yu.; Saleur, H. 2 1994 Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. Zbl 0860.17008Kirillov, A. N.; Reshetikhin, N. Yu. 7 1993 On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai 3 1993 Quantum affine algebras and holonomic difference equations. Zbl 0760.17006Frenkel, I. B.; Reshetikhin, N. Yu. 190 1992 Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015Reshetikhin, N. 26 1992 The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016Reshetikhin, Nicolai 23 1992 Quantum flag and Schubert schemes. Zbl 0792.17012Lakshmibai, V.; Reshetikhin, N. 18 1992 Quantization of Lie bialgebras. Zbl 0760.17012Reshetikhin, N. 7 1992 Quantum supergroups. Zbl 0791.17013Reshetikhin, N. 4 1992 Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011Frenkel, I. B.; Reshetikhin, N. Yu. 3 1992 Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007Reshetikhin, N.; Turaev, V. G. 461 1991 A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093Reshetikhin, N. Yu. 14 1991 \(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024Reshetikhin, N. 12 1991 Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026Reshetikhin, N. Yu. 8 1991 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014Lakshmibai, V.; Reshetikhin, N. 2 1991 Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003Reshetikhin, N. Yu.; Turaev, V. G. 358 1990 Quantization of Lie groups and Lie algebras. Zbl 0715.17015Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 266 1990 Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006Reshetikhin, N. 137 1990 q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014Kirillov, A. N.; Reshetikhin, N. 84 1990 Central extensions of quantum current groups. Zbl 0692.22011Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 81 1990 Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024Bazhanov, V. V.; Reshetikhin, N. 62 1990 Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077Reshetikhin, N.; Smirnov, F. 29 1990 Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016Reshetikhin, N. Yu. 14 1990 Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040Bazhanov, V. V.; Reshetikhin, N. Yu. 2 1990 Representations of the algebra \(U_ q(sl(2))\), \(q\)-orthogonal polynomials and invariants of links. Zbl 0742.17018Kirillov, A. N.; Reshetikhin, N. Yu. 72 1989 Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008Kulish, P. P.; Reshetikhin, N. Yu. 59 1989 Quantization of Lie groups and Lie algebras. Zbl 0677.17010Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 51 1989 Critical RSOS models and conformal field theory. Zbl 0693.58046Bazhanov, V. V.; Reshetikhin, N. Yu. 44 1989 Quantum groups. Zbl 0716.17010Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L. 1 1989 Quantum R-matrices and factorization problems. Zbl 0711.17008Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 96 1988 The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029Kirillov, A. N.; Reshetikhin, N. Yu. 53 1988 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 23 1988 The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013Reshetikhin, N. Yu. 6 1988 Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013Kirillov, A. N.; Reshetikhin, N. Yu. 6 1988 Classification of the string solutions of Bethe equations in an XXZ model of arbitrary spin. Zbl 0644.35085Kirillov, A. N.; Reshetikhin, N. Yu. 1 1988 Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras. Zbl 0900.16047Kirillov, A. N.; Reshetikhin, N. Yu. 29 1987 The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006Reshetikhin, N. Yu. 27 1987 Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras. Zbl 0637.16007Kirillov, A. N.; Reshetikhin, N. Yu. 12 1987 Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025Kirillov, A. N.; Reshetikhin, N. Yu. 33 1986 The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027Kirillov, A. N.; Reshetikhin, N. Yu. 25 1986 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 24 1986 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,353 Authors 51 Reshetikhin, Nikolai Yu. 33 Ragoucy, Eric 31 Borodin, Alexei 26 Morozov, Alexei Yurievich 26 Varchenko, Alexander Nikolaevich 25 Mukhin, Evgeny 24 Jing, Naihuan 23 Majid, Shahn 22 Jimbo, Michio 22 Mironov, Andrei D. 22 Pakuliak, Stanislav Z. 21 Kuniba, Atsuo 20 Derkachëv, Sergeĭ Èduardovich 20 Gould, Mark D. 20 Kirillov, Anatol N. 20 Okado, Masato 20 Zhang, Yaozhong 19 Andersen, Jørgen Ellegaard 19 Cattaneo, Alberto Sergio 19 Geer, Nathan 19 Kauffman, Louis Hirsch 19 Molev, Alexander I. 19 Nepomechie, Rafael I. 18 Tarasov, Vitaly Olegovich 18 Zhang, Ruibin 17 Feĭgin, Boris L’vovich 17 Mudrov, Andrey I. 17 Patureau-Mirand, Bertrand 16 Petrov, Leonid 16 Runkel, Ingo 15 Frappat, Luc 15 Gorin, Vadim 15 Kulish, Petr Petrovich 15 Zinn-Justin, Paul 14 Chari, Vyjayanthi 14 Di Francesco, Philippe 14 Etingof, Pavel Il’ich 14 Hernandez, David 14 Kedem, Rinat 14 Miwa, Tetsuji 14 Scrimshaw, Travis 14 Yang, Wenli 13 Bazhanov, Vladimir V. 13 Corwin, Ivan Z. 13 Crampé, Nicolas 13 Frenkel, Edward V. 13 Gurevich, Dmitrii 13 Hu, Naihong 13 Khoroshkin, Sergey M. 13 Le, Thang Tu Quoc 13 Morozov, Andreĭ Alekseevich 13 Tsuboi, Zengo 12 Adler, Mark 12 Isaev, Alekseĭ Petrovich 12 Kirschner, Roland 12 Schilling, Anne 12 Shi, Kangjie 12 van Moerbeke, Pierre 11 Bogolyubov, Nikolaĭ Mikhaĭlovich 11 Foda, Omar 11 Hou, Boyu 11 Johansson, Kurt 11 Kashiwara, Masaki 11 Kimura, Taro 11 Oh, Se-jin 11 Ramadevi, Pichai 11 Rozansky, Lev 11 Sakamoto, Reiho 11 Slavnov, Nikita A. 11 Yamazaki, Masahito 10 Fehér, László Gy. 10 Frenkel, Igor B. 10 Gainutdinov, Azat M. 10 Garoufalidis, Stavros 10 Karakhanyan, David 10 Links, Jon Robert 10 Nekrasov, Nikita Alexandrovich 10 Saponov, Pavel A. 10 Schomerus, Volker 10 Stokman, Jasper V. 10 Young, Charles A. S. 10 Zabrodin, Anton V. 9 Arnaudon, Daniel 9 Bleher, Pavel M. 9 Bufetov, Alekseĭ Igor’evich 9 Costantino, Francesco 9 Doikou, Anastasia 9 Fioresi, Rita 9 Greenstein, Jacob 9 Gukov, Sergei 9 Hayashi, Takahiro 9 Jurčo, Branislav 9 Landi, Giovanni 9 Lukyanov, Sergei L. 9 Manojlović, Nenad 9 Okun’kov, Andreĭ Yur’evich 9 Schiavina, Michele 9 Takasaki, Kanehisa 9 Turaev, Vladimir Georgievich 9 Vicedo, Benoît ...and 2,253 more Authors all top 5 Cited in 207 Serials 340 Communications in Mathematical Physics 208 Journal of Mathematical Physics 194 Nuclear Physics. B 174 Letters in Mathematical Physics 162 Journal of High Energy Physics 117 Advances in Mathematics 116 Journal of Algebra 96 Journal of Geometry and Physics 80 Theoretical and Mathematical Physics 73 Journal of Knot Theory and its Ramifications 53 Journal of Statistical Mechanics: Theory and Experiment 47 Duke Mathematical Journal 42 Journal of Pure and Applied Algebra 41 Selecta Mathematica. New Series 41 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 38 Transactions of the American Mathematical Society 35 Journal of Statistical Physics 35 Journal of Mathematical Sciences (New York) 34 International Journal of Modern Physics A 31 Communications in Algebra 29 Annales Henri Poincaré 29 Journal of Physics A: Mathematical and Theoretical 26 Journal of Algebraic Combinatorics 26 Algebraic & Geometric Topology 22 Journal of Soviet Mathematics 21 Inventiones Mathematicae 21 Publications of the Research Institute for Mathematical Sciences, Kyoto University 21 Algebras and Representation Theory 20 Geometry & Topology 20 Quantum Topology 18 Topology and its Applications 18 Probability Theory and Related Fields 18 Transformation Groups 17 Reviews in Mathematical Physics 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Compositio Mathematica 15 Proceedings of the American Mathematical Society 14 Journal of Combinatorial Theory. Series A 14 St. Petersburg Mathematical Journal 13 Journal of the American Mathematical Society 13 Representation Theory 12 The Annals of Probability 12 Mathematische Zeitschrift 12 International Journal of Mathematics 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Communications in Contemporary Mathematics 10 Czechoslovak Journal of Physics 9 International Journal of Theoretical Physics 9 Physics Letters. B 9 Functional Analysis and its Applications 9 Advances in Applied Mathematics 8 Israel Journal of Mathematics 8 Chaos, Solitons and Fractals 8 Bulletin of the American Mathematical Society. New Series 8 The Electronic Journal of Combinatorics 7 Communications on Pure and Applied Mathematics 7 Annales de l’Institut Fourier 7 Memoirs of the American Mathematical Society 7 European Journal of Combinatorics 7 Acta Applicandae Mathematicae 7 International Journal of Geometric Methods in Modern Physics 6 Modern Physics Letters A 6 Discrete Mathematics 6 Journal of Functional Analysis 6 Mathematische Annalen 6 Proceedings of the Japan Academy. Series A 6 Tohoku Mathematical Journal. Second Series 6 Physica D 6 Séminaire Lotharingien de Combinatoire 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Algebra and its Applications 6 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 5 International Journal of Modern Physics B 5 General Relativity and Gravitation 5 Reports on Mathematical Physics 5 Publications Mathématiques 5 Mathematical Physics, Analysis and Geometry 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Advances in Mathematical Physics 4 Physics Letters. A 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of Computational and Applied Mathematics 4 Journal für die Reine und Angewandte Mathematik 4 Chinese Annals of Mathematics. Series B 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Nuclear Physics. B. Proceedings Supplements 4 Journal of Noncommutative Geometry 4 Advances in High Energy Physics 4 Science China. Mathematics 4 Random Matrices: Theory and Applications 3 Russian Mathematical Surveys 3 Acta Mathematica 3 Acta Mathematica Vietnamica 3 Applied Mathematics and Computation 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Canadian Journal of Mathematics 3 Journal of Approximation Theory 3 Nagoya Mathematical Journal 3 Osaka Journal of Mathematics ...and 107 more Serials all top 5 Cited in 57 Fields 1,397 Quantum theory (81-XX) 1,192 Nonassociative rings and algebras (17-XX) 579 Associative rings and algebras (16-XX) 563 Statistical mechanics, structure of matter (82-XX) 516 Manifolds and cell complexes (57-XX) 270 Combinatorics (05-XX) 215 Algebraic geometry (14-XX) 194 Global analysis, analysis on manifolds (58-XX) 189 Group theory and generalizations (20-XX) 174 Differential geometry (53-XX) 167 Category theory; homological algebra (18-XX) 160 Dynamical systems and ergodic theory (37-XX) 158 Probability theory and stochastic processes (60-XX) 132 Special functions (33-XX) 121 Relativity and gravitational theory (83-XX) 111 Functional analysis (46-XX) 109 Partial differential equations (35-XX) 97 Topological groups, Lie groups (22-XX) 60 Linear and multilinear algebra; matrix theory (15-XX) 53 Number theory (11-XX) 50 Mechanics of particles and systems (70-XX) 49 Several complex variables and analytic spaces (32-XX) 45 Commutative algebra (13-XX) 38 Difference and functional equations (39-XX) 31 Algebraic topology (55-XX) 24 Ordinary differential equations (34-XX) 18 \(K\)-theory (19-XX) 18 Convex and discrete geometry (52-XX) 16 Operator theory (47-XX) 15 Computer science (68-XX) 14 Functions of a complex variable (30-XX) 12 Numerical analysis (65-XX) 10 Geometry (51-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Statistics (62-XX) 8 General and overarching topics; collections (00-XX) 8 Information and communication theory, circuits (94-XX) 7 Abstract harmonic analysis (43-XX) 6 History and biography (01-XX) 6 Approximations and expansions (41-XX) 5 Field theory and polynomials (12-XX) 4 Mathematical logic and foundations (03-XX) 4 Integral equations (45-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.