Edit Profile Reshetikhin, Nikolai Yu. Compute Distance To: Compute Author ID: reshetikhin.nikolai-yu Published as: Reshetikhin, N.; Reshetikhin, N. Yu.; Reshetikhin, Nicolai; Reshetikhin, Nikolai; Reshetikhin, Nikolai Yu. External Links: MGP · Wikidata · GND Documents Indexed: 127 Publications since 1979, including 2 Books all top 5 Co-Authors 28 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-Tian-Shansky, Michael A. 3 Faddeev, Lyudvig Dmitrievich 3 Lakshmibai, Venkatramani 3 Sridhar, Ananth 3 Stokman, Jasper V. 3 Vlaar, Bart 2 Andersen, Jørgen Ellegaard 2 Cimasoni, David 2 De Concini, Corrado 2 Frenkel, Igor B. 2 Geer, Nathan 2 Kerov, Sergei V. 2 Polyak, Michael 2 Sklyanin, Evgeny K. 2 Smirnov, Fedor A. 2 Turaev, Vladimir G. 2 Vershik, Anatoliĭ Moiseevich 2 Yakimov, Milen T. 1 Allison, David 1 Apushkinskaya, Darya E. 1 Aref’eva, Irina Yaroslavna 1 Blanchet, Christian 1 Bobenko, Alexander Ivanovich 1 Bourgain, Jean 1 Boutillier, Cédric 1 Chen, Qingtao 1 Daskalopoulos, Panagiota 1 Di Francesco, Philippe 1 Dumbaugh, Della 1 Feĭgin, Boris L’vovich 1 Flato, Moshé 1 Ginzburg, Victor 1 Hernandez, David 1 Hoffmann, Tim 1 Its, Alexander Rudolfovich 1 Kapitanski, Lev 1 Keating, David A. 1 Kellendonk, Johannes 1 Kesten, Harry 1 Kitanine, Nikolai 1 Kozlov, Valeriĭ Vasil’evich 1 Krichever, Igor’ Moiseevich 1 Kutz, Nadja 1 Lepowsky, James 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 Postnova, Olga V. 1 Procesi, Claudio 1 Rosso, Marc 1 Saleur, Hubert 1 Sally, Paul J. jun. 1 Shatashvili, Samson L. 1 Stroppel, Catharina H. 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 Zakharov, Vladimir Evgen’evich 1 Zuckerman, Gregg J. all top 5 Serials 24 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) 2 Nuclear Physics. B 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Leningrad Mathematical Journal 2 Notices of the American Mathematical Society 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 IMRN. International Mathematics Research Notices 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 67 Quantum theory (81-XX) 63 Nonassociative rings and algebras (17-XX) 24 Associative rings and algebras (16-XX) 22 Statistical mechanics, structure of matter (82-XX) 19 Topological groups, Lie groups (22-XX) 18 Differential geometry (53-XX) 17 Dynamical systems and ergodic theory (37-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) 7 Algebraic geometry (14-XX) 6 Mechanics of particles and systems (70-XX) 5 History and biography (01-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 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 Operator theory (47-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 110 Publications have been cited 3,725 times in 2,774 Documents Cited by ▼ Year ▼ Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007Reshetikhin, N.; Turaev, V. G. 425 1991 Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003Reshetikhin, N. Yu.; Turaev, V. G. 339 1990 Quantization of Lie groups and Lie algebras. Zbl 0715.17015Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 261 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. 181 1992 Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134Okounkov, Andrei; Reshetikhin, Nikolai 144 2003 Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006Reshetikhin, N. 133 1990 The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015Frenkel, Edward; Reshetikhin, Nicolai 106 1999 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 98 2006 Quantum R-matrices and factorization problems. Zbl 0711.17008Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 94 1988 Diagonalisation of \(\text{GL}(N)\) invariant transfer matrices and quantum \(N\)-wave system (Lee model). Zbl 0545.35082Kulish, P. P.; Reshetikhin, N. Yu. 92 1983 Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai 85 1994 q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014Kirillov, A. N.; Reshetikhin, N. 83 1990 Central extensions of quantum current groups. Zbl 0692.22011Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 72 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 Quantization of Lie groups and Lie algebras. Zbl 0677.17010Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 69 1989 Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024Bazhanov, V. V.; Reshetikhin, N. 60 1990 Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008Kulish, P. P.; Reshetikhin, N. Yu. 57 1989 Random skew plane partitions and the Pearcey process. Zbl 1115.60011Okounkov, Andrei; Reshetikhin, Nicolai 56 2007 Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014Frenkel, Edward; Reshetikhin, Nikolai 54 1996 The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029Kirillov, A. N.; Reshetikhin, N. Yu. 50 1988 Critical RSOS models and conformal field theory. Zbl 0693.58046Bazhanov, V. V.; Reshetikhin, N. Yu. 41 1989 Classical BV theories on manifolds with boundary. Zbl 1302.81141Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 37 2014 Dimers on surface graphs and spin structures. I. Zbl 1135.82006Cimasoni, David; Reshetikhin, Nicolai 36 2007 Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011Frenkel, Edward; Reshetikhin, Nicolai 36 1998 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. 33 1987 The birth of a random matrix. Zbl 1130.15014Okounkov, Andrei; Reshetikhin, Nicolai 32 2006 Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025Kirillov, A. N.; Reshetikhin, N. Yu. 32 1986 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. 28 1987 Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015Reshetikhin, N. 25 1992 Quantization of the algebra of chord diagrams. Zbl 0943.57007Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 23 1998 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. 22 1988 The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027Kirillov, A. N.; Reshetikhin, N. Yu. 22 1986 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 22 1986 Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306Allison, David; Reshetikhin, Nicolai 21 2005 The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 21 1996 Lectures on the integrability of the six-vertex model. Zbl 1202.82022Reshetikhin, N. 19 2010 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. 19 1998 Quantum groups and flag varieties. Zbl 0818.17018Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric 19 1994 Deformation quantization of Kähler manifolds. Zbl 1003.53061Reshetikhin, N.; Takhtajan, L. A. 18 2000 Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai 18 2000 Quantum flag and Schubert schemes. Zbl 0792.17012Lakshmibai, V.; Reshetikhin, N. 18 1992 Exact solution of the Heisenberg XXZ model of spin s. Zbl 0612.35029Kirillov, A. N.; Reshetikhin, N. Yu. 17 1986 Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 16 2018 A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093Reshetikhin, N. Yu. 16 1991 Hopf algebras with trace and representations. Zbl 1132.17007De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M. 15 2005 Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016Reshetikhin, N. Yu. 15 1990 Degenerately integrable systems. Zbl 1369.70035Reshetikhin, N. 13 2016 \(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024Reshetikhin, N. 13 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 Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter 11 2012 Dimers on surface graphs and spin structures. II. Zbl 1168.82012Cimasoni, David; Reshetikhin, Nicolai 11 2008 Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058Reshetikhin, N. 11 2003 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 \(\mathrm{O}(N)\) invariant quantum field theoretical models: exact solution. Zbl 1223.81132Reshetikhin, N. Yu. 11 1985 Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063Kulish, P. P.; Reshetikhin, N. Yu. 10 1979 Semiclassical quantization of classical field Theories. Zbl 1315.81095Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 9 2015 Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 9 2015 Integrability of limit shapes of the six vertex model. Zbl 1377.82022Reshetikhin, Nicolai; Sridhar, Ananth 8 2017 Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083Reshetikhin, Nicolai 8 2017 Remarks on the quantum dilogarithm. Zbl 0876.17035Bazhanov, V. V.; Reshetikhin, N. Yu. 8 1995 Quantization of Lie bialgebras. Zbl 0760.17012Reshetikhin, N. 8 1992 Limit shapes of the stochastic six vertex model. Zbl 1400.82055Reshetikhin, Nicolai; Sridhar, Ananth 7 2018 Lectures on quantization of gauge systems. Zbl 1235.83004Reshetikhin, N. 7 2010 Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043Reshetikhin, N. 7 2003 Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041Kashaev, R. M.; Reshetikhin, N. 7 1997 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 The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013Reshetikhin, N. Yu. 7 1988 Asymptotic shapes with free boundaries. Zbl 1234.05051Di Francesco, Philippe; Reshetikhin, Nicolai 6 2012 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 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 Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512Reshetikhin, N. Yu.; Saleur, H. 5 1994 Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 4 2016 Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011Reshetikhin, Nicolai; Vertman, Boris 4 2015 On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306Polyak, Michael; Reshetikhin, Nicolai 4 1997 Exactly solved quantum-mechanical systems on a lattice which are related to classical Lie algebras. Zbl 0525.58023Reshetikhin, N. Yu. 4 1983 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 3 2012 Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011Kashaev, Rinat; Reshetikhin, Nicolai 3 2005 Invariants of tangles with flat connections in their complements. Zbl 1083.57018Kashaev, R.; Reshetikhin, N. 3 2005 Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099Reshetikhin, Nicolai; Yakimov, Milen 3 2000 On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai 3 1993 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 Quantum supergroups. Zbl 0791.17013Reshetikhin, N. 3 1992 A cellular topological field theory. Zbl 07178356Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 2 2020 Semiclassical geometry of integrable systems. Zbl 1390.81231Reshetikhin, Nicolai 2 2018 Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 2 2018 Topological quantum field theory: 20 years later. Zbl 1237.57032Reshetikhin, Nicolai 2 2010 Quantum invariant measures. Zbl 1009.20060Reshetikhin, Nicolai; Yakimov, Milen 2 2001 Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066Kashaev, Rinat M.; Reshetikhin, Nikolai Yu. 2 1999 Integrable discrete systems. Zbl 0862.35117Reshetikhin, N. 2 1996 Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026Reshetikhin, N. Yu. 2 1991 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014Lakshmibai, V.; Reshetikhin, N. 2 1991 Invariants of links and 3-manifolds related to quantum groups. Zbl 0743.57005Reshetikhin, Nicolai 2 1991 The exact solution of the Heisenberg XXZ-model of the spin S. Zbl 0586.35032Kirillov, A. N.; Reshetikhin, N. Yu. 2 1985 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 On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 07175756Postnova, Olga; Reshetikhin, Nicolai 1 2020 A cellular topological field theory. Zbl 07178356Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 2 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 On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 07175756Postnova, Olga; 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 16 2018 Limit shapes of the stochastic six vertex model. Zbl 1400.82055Reshetikhin, Nicolai; Sridhar, Ananth 7 2018 Semiclassical geometry of integrable systems. Zbl 1390.81231Reshetikhin, Nicolai 2 2018 Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 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 8 2017 Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083Reshetikhin, Nicolai 8 2017 Degenerately integrable systems. Zbl 1369.70035Reshetikhin, N. 13 2016 Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 4 2016 Semiclassical quantization of classical field Theories. Zbl 1315.81095Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai 9 2015 Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart 9 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 37 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 6 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 3 2012 Lectures on the integrability of the six-vertex model. Zbl 1202.82022Reshetikhin, N. 19 2010 Lectures on quantization of gauge systems. Zbl 1235.83004Reshetikhin, N. 7 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 11 2008 Random skew plane partitions and the Pearcey process. Zbl 1115.60011Okounkov, Andrei; Reshetikhin, Nicolai 56 2007 Dimers on surface graphs and spin structures. I. Zbl 1135.82006Cimasoni, David; Reshetikhin, Nicolai 36 2007 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 98 2006 The birth of a random matrix. Zbl 1130.15014Okounkov, Andrei; Reshetikhin, Nicolai 32 2006 Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306Allison, David; Reshetikhin, Nicolai 21 2005 Hopf algebras with trace and representations. Zbl 1132.17007De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M. 15 2005 Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011Kashaev, Rinat; Reshetikhin, Nicolai 3 2005 Invariants of tangles with flat connections in their complements. Zbl 1083.57018Kashaev, R.; Reshetikhin, N. 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 144 2003 Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058Reshetikhin, N. 11 2003 Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043Reshetikhin, N. 7 2003 Quantum invariant measures. Zbl 1009.20060Reshetikhin, Nicolai; Yakimov, Milen 2 2001 Deformation quantization of Kähler manifolds. Zbl 1003.53061Reshetikhin, N.; Takhtajan, L. A. 18 2000 Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai 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 106 1999 Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066Kashaev, Rinat M.; Reshetikhin, Nikolai Yu. 2 1999 Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011Frenkel, Edward; Reshetikhin, Nicolai 36 1998 Quantization of the algebra of chord diagrams. Zbl 0943.57007Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 23 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. 19 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 54 1996 The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai 21 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. 2 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. 8 1995 Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai 85 1994 Quantum groups and flag varieties. Zbl 0818.17018Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric 19 1994 Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512Reshetikhin, N. Yu.; Saleur, H. 5 1994 Mathematical aspects of conformal and topological field theories and quantum groups. AMS-IMS-SIAM summer research conference, June 13-19, 1992, Mount Holyoke College, South Hadley, MA, USA. Zbl 0801.00049Sally, Paul J. jun. (ed.); Flato, Moshe (ed.); Lepowsky, James (ed.); Reshetikhin, Nicolai (ed.); Zuckerman, Gregg J. (ed.) 1 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. 181 1992 Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015Reshetikhin, N. 25 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. 8 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 Quantum supergroups. Zbl 0791.17013Reshetikhin, N. 3 1992 Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007Reshetikhin, N.; Turaev, V. G. 425 1991 A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093Reshetikhin, N. Yu. 16 1991 \(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024Reshetikhin, N. 13 1991 Quantum deformations of flag and Schubert schemes. Zbl 0753.17021Lakshmibai, Venkatramani; Reshetikhin, Nicolai 6 1991 Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026Reshetikhin, N. Yu. 2 1991 Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014Lakshmibai, V.; Reshetikhin, N. 2 1991 Invariants of links and 3-manifolds related to quantum groups. Zbl 0743.57005Reshetikhin, Nicolai 2 1991 Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003Reshetikhin, N. Yu.; Turaev, V. G. 339 1990 Quantization of Lie groups and Lie algebras. Zbl 0715.17015Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D. 261 1990 Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006Reshetikhin, N. 133 1990 q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014Kirillov, A. N.; Reshetikhin, N. 83 1990 Central extensions of quantum current groups. Zbl 0692.22011Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A. 72 1990 Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024Bazhanov, V. V.; Reshetikhin, N. 60 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. 15 1990 Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040Bazhanov, V. V.; Reshetikhin, N. Yu. 1 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 Quantization of Lie groups and Lie algebras. Zbl 0677.17010Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. 69 1989 Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008Kulish, P. P.; Reshetikhin, N. Yu. 57 1989 Critical RSOS models and conformal field theory. Zbl 0693.58046Bazhanov, V. V.; Reshetikhin, N. Yu. 41 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. 94 1988 The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029Kirillov, A. N.; Reshetikhin, N. Yu. 50 1988 Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu. 22 1988 The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013Reshetikhin, N. Yu. 7 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. 33 1987 The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006Reshetikhin, N. Yu. 28 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. 32 1986 The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027Kirillov, A. N.; Reshetikhin, N. Yu. 22 1986 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,353 Authors 47 Reshetikhin, Nikolai Yu. 33 Ragoucy, Eric 30 Borodin, Alexei 30 Morozov, Alexei Yurievich 26 Varchenko, Alexander Nikolaevich 25 Mironov, Andrei D. 24 Jing, Naihuan 22 Mukhin, Evgeny 21 Kuniba, Atsuo 21 Majid, Shahn 21 Nepomechie, Rafael I. 21 Pakuliak, Stanislav Z. 20 Derkachëv, Sergeĭ Èduardovich 20 Gould, Mark D. 20 Jimbo, Michio 20 Kirillov, Anatol N. 20 Zhang, Yaozhong 19 Molev, Alexander I. 19 Okado, Masato 18 Andersen, Jørgen Ellegaard 18 Tarasov, Vitaly Olegovich 18 Zhang, Ruibin 17 Cattaneo, Alberto Sergio 17 Geer, Nathan 17 Kauffman, Louis Hirsch 17 Mudrov, Andrey I. 16 Feĭgin, Boris L’vovich 16 Hernandez, David 16 Khoroshkin, Sergey M. 16 Morozov, Andreĭ Alekseevich 15 Frappat, Luc 15 Gorin, Vadim 15 Kulish, Petr Petrovich 15 Patureau-Mirand, Bertrand 15 Yang, Wenli 15 Zinn-Justin, Paul 14 Chari, Vyjayanthi 14 Di Francesco, Philippe 14 Frenkel, Edward V. 14 Kedem, Rinat 14 Miwa, Tetsuji 14 Runkel, Ingo 14 Tsuboi, Zengo 13 Bazhanov, Vladimir V. 13 Etingof, Pavel Il’ich 13 Le, Thang Tu Quoc 13 Petrov, Leonid 12 Arutyunov, Gleb Eduardovich 12 Corwin, Ivan 12 Crampé, Nicolas 12 Hou, Boyu 12 Scrimshaw, Travis 12 Shi, Kangjie 12 Zabrodin, Anton V. 11 Adler, Mark 11 Foda, Omar 11 Hu, Naihong 11 Kazakov, Vladimir A. 11 Ramadevi, Pichai 11 Rozansky, Lev 11 Sakamoto, Reiho 11 Schilling, Anne 11 Slavnov, Nikita A. 11 van Moerbeke, Pierre 11 Young, Charles A. S. 10 Bogolyubov, Nikolaĭ Mikhaĭlovich 10 Frenkel, Igor B. 10 Greenstein, Jacob 10 Gurevich, Dmitrii 10 Johansson, Kurt 10 Kirschner, Roland 10 Links, Jon Robert 10 Lukyanov, Sergei L. 10 Nekrasov, Nikita Alexandrovich 10 Yamazaki, Masahito 9 Arnaudon, Daniel 9 Awata, Hidetoshi 9 Bleher, Pavel M. 9 Costantino, Francesco 9 Doikou, Anastasia 9 Fioresi, Rita 9 Garoufalidis, Stavros 9 Hayashi, Takahiro 9 Hikami, Kazuhiro 9 Jurčo, Branislav 9 Kashiwara, Masaki 9 Kimura, Taro 9 Oh, Se-jin 9 Schomerus, Volker 9 Shiraishi, Jun’ichi 9 Stokman, Jasper V. 9 Takasaki, Kanehisa 9 Turaev, Vladimir G. 9 Vicedo, Benoît 8 Avan, Jean 8 Baez, John C. 8 Karowski, Michael 8 Kuijlaars, Arno B. J. 8 Landi, Giovanni 8 Lyakhovskiĭ, Vladimir Dmitrievich ...and 2,253 more Authors all top 5 Cited in 196 Serials 319 Communications in Mathematical Physics 207 Journal of Mathematical Physics 184 Nuclear Physics. B 184 Journal of High Energy Physics 164 Letters in Mathematical Physics 114 Journal of Algebra 110 Advances in Mathematics 97 Journal of Geometry and Physics 72 Theoretical and Mathematical Physics 69 Journal of Knot Theory and its Ramifications 49 Journal of Statistical Mechanics: Theory and Experiment 47 Duke Mathematical Journal 43 Journal of Pure and Applied Algebra 38 Transactions of the American Mathematical Society 34 International Journal of Modern Physics A 34 Journal of Statistical Physics 33 Journal of Mathematical Sciences (New York) 33 Selecta Mathematica. New Series 33 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 31 Communications in Algebra 29 Journal of Physics A: Mathematical and Theoretical 26 Annales Henri Poincaré 26 Algebraic & Geometric Topology 23 Journal of Algebraic Combinatorics 22 Journal of Soviet Mathematics 21 Publications of the Research Institute for Mathematical Sciences, Kyoto University 20 Inventiones Mathematicae 20 Geometry & Topology 20 Algebras and Representation Theory 18 Topology and its Applications 17 Probability Theory and Related Fields 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Transformation Groups 15 Reviews in Mathematical Physics 15 Proceedings of the American Mathematical Society 14 Compositio Mathematica 14 Journal of Combinatorial Theory. Series A 14 St. Petersburg Mathematical Journal 14 Quantum Topology 13 Journal of the American Mathematical Society 12 International Journal of Mathematics 11 Physics Letters. B 11 Representation Theory 10 Mathematische Zeitschrift 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Czechoslovak Journal of Physics 9 International Journal of Theoretical Physics 9 The Annals of Probability 9 Functional Analysis and its Applications 9 Advances in Applied Mathematics 9 Communications in Contemporary Mathematics 8 Chaos, Solitons and Fractals 8 Bulletin of the American Mathematical Society. New Series 7 Communications on Pure and Applied Mathematics 7 Annales de l’Institut Fourier 7 Acta Applicandae Mathematicae 7 International Journal of Geometric Methods in Modern Physics 6 Modern Physics Letters A 6 Israel Journal of Mathematics 6 Reports on Mathematical Physics 6 Mathematische Annalen 6 Tohoku Mathematical Journal. Second Series 6 European Journal of Combinatorics 6 Physica D 6 Séminaire Lotharingien de Combinatoire 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 5 International Journal of Modern Physics B 5 Discrete Mathematics 5 General Relativity and Gravitation 5 Publications Mathématiques 5 Journal of Functional Analysis 5 Memoirs of the American Mathematical Society 5 Proceedings of the Japan Academy. Series A 5 Nuclear Physics, B, Proceedings Supplements 5 Mathematical Physics, Analysis and Geometry 5 Journal of Algebra and its Applications 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 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 4 Advances in High Energy Physics 4 Science China. Mathematics 4 Random Matrices: Theory and Applications 3 Russian Mathematical Surveys 3 Acta Mathematica 3 Applied Mathematics and Computation 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Journal of Approximation Theory 3 Nagoya Mathematical Journal 3 Osaka Journal of Mathematics 3 Geometric and Functional Analysis. GAFA 3 Linear Algebra and its Applications 3 The Electronic Journal of Combinatorics 3 Annals of Combinatorics ...and 96 more Serials all top 5 Cited in 57 Fields 1,353 Quantum theory (81-XX) 1,158 Nonassociative rings and algebras (17-XX) 545 Associative rings and algebras (16-XX) 544 Statistical mechanics, structure of matter (82-XX) 483 Manifolds and cell complexes (57-XX) 247 Combinatorics (05-XX) 202 Algebraic geometry (14-XX) 183 Global analysis, analysis on manifolds (58-XX) 172 Group theory and generalizations (20-XX) 160 Differential geometry (53-XX) 152 Dynamical systems and ergodic theory (37-XX) 147 Category theory; homological algebra (18-XX) 138 Probability theory and stochastic processes (60-XX) 122 Special functions (33-XX) 112 Partial differential equations (35-XX) 107 Functional analysis (46-XX) 103 Relativity and gravitational theory (83-XX) 93 Topological groups, Lie groups (22-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 52 Number theory (11-XX) 49 Several complex variables and analytic spaces (32-XX) 47 Mechanics of particles and systems (70-XX) 40 Commutative algebra (13-XX) 36 Difference and functional equations (39-XX) 24 Algebraic topology (55-XX) 21 Ordinary differential equations (34-XX) 17 Convex and discrete geometry (52-XX) 15 \(K\)-theory (19-XX) 14 Operator theory (47-XX) 14 Computer science (68-XX) 13 Functions of a complex variable (30-XX) 11 Numerical analysis (65-XX) 9 Geometry (51-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Information and communication theory, circuits (94-XX) 7 General and overarching topics; collections (00-XX) 7 Abstract harmonic analysis (43-XX) 6 History and biography (01-XX) 6 Approximations and expansions (41-XX) 6 Integral equations (45-XX) 5 Field theory and polynomials (12-XX) 5 Statistics (62-XX) 4 Mathematical logic and foundations (03-XX) 3 Real functions (26-XX) 3 Operations research, mathematical programming (90-XX) 2 Sequences, series, summability (40-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-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 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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.