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## Reshetikhin, Nikolai Yu.

Compute Distance To:
 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
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#### 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.
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#### 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
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#### 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)

#### 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 0725.57007
Reshetikhin, N.; Turaev, V. G.
1991
Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003
Reshetikhin, N. Yu.; Turaev, V. G.
1990
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
1990
Yang-Baxter equation and representation theory. I. Zbl 0502.35074
Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K.
1981
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134
Okounkov, Andrei; Reshetikhin, Nikolai
2003
Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006
Reshetikhin, N.
1990
The $$q$$-characters of representations of quantum affine algebras and deformations of $$W$$-algebras. Zbl 0973.17015
Frenkel, Edward; Reshetikhin, Nicolai
1999
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
2006
Quantum R-matrices and factorization problems. Zbl 0711.17008
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
1988
Diagonalisation of $$\text{GL}(N)$$ invariant transfer matrices and quantum $$N$$-wave system (Lee model). Zbl 0545.35082
Kulish, P. P.; Reshetikhin, N. Yu.
1983
Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103
Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai
1994
q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014
Kirillov, A. N.; Reshetikhin, N.
1990
Central extensions of quantum current groups. Zbl 0692.22011
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
1990
Representations of the algebra $$U_ q(sl(2))$$, $$q$$-orthogonal polynomials and invariants of links. Zbl 0742.17018
Kirillov, A. N.; Reshetikhin, N. Yu.
1989
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
1989
Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024
Bazhanov, V. V.; Reshetikhin, N.
1990
Universal R-matrix of the quantum superalgebra osp(2$$| 1)$$. Zbl 0694.17008
Kulish, P. P.; Reshetikhin, N. Yu.
1989
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
2007
Quantum affine algebras and deformations of the Virasoro and $${\mathcal W}$$-algebras. Zbl 0869.17014
Frenkel, Edward; Reshetikhin, Nikolai
1996
The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029
Kirillov, A. N.; Reshetikhin, N. Yu.
1988
Critical RSOS models and conformal field theory. Zbl 0693.58046
Bazhanov, V. V.; Reshetikhin, N. Yu.
1989
Classical BV theories on manifolds with boundary. Zbl 1302.81141
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2014
Dimers on surface graphs and spin structures. I. Zbl 1135.82006
Cimasoni, David; Reshetikhin, Nicolai
2007
Deformations of $$W$$-algebras associated to simple Lie algebras. Zbl 0939.17011
Frenkel, Edward; Reshetikhin, Nicolai
1998
Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras. Zbl 0900.16047
Kirillov, A. N.; Reshetikhin, N. Yu.
1987
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
2006
Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025
Kirillov, A. N.; Reshetikhin, N. Yu.
1986
Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077
Reshetikhin, N.; Smirnov, F.
1990
The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006
Reshetikhin, N. Yu.
1987
Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015
Reshetikhin, N.
1992
Quantization of the algebra of chord diagrams. Zbl 0943.57007
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
1998
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016
Reshetikhin, Nicolai
1992
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
1988
The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027
Kirillov, A. N.; Reshetikhin, N. Yu.
1986
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
1986
Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306
Allison, David; Reshetikhin, Nicolai
2005
The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
1996
Lectures on the integrability of the six-vertex model. Zbl 1202.82022
Reshetikhin, N.
2010
Drinfeld-Sokolov reduction for difference operators and deformations of $${\mathcal W}$$-algebras. I: The case of Virasoro algebra. Zbl 0916.17020
Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A.
1998
Quantum groups and flag varieties. Zbl 0818.17018
Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric
1994
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
2000
Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074
Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai
2000
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
1992
Exact solution of the Heisenberg XXZ model of spin s. Zbl 0612.35029
Kirillov, A. N.; Reshetikhin, N. Yu.
1986
Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2018
A new exactly solvable case of an $$O(n)$$-model on a hexagonal lattice. Zbl 0737.60093
Reshetikhin, N. Yu.
1991
Hopf algebras with trace and representations. Zbl 1132.17007
De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M.
2005
Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016
Reshetikhin, N. Yu.
1990
Degenerately integrable systems. Zbl 1369.70035
Reshetikhin, N.
2016
$$S$$-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024
Reshetikhin, N.
1991
Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009
Reshetikhin, N.
1995
Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras. Zbl 0637.16007
Kirillov, A. N.; Reshetikhin, N. Yu.
1987
Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007
Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter
2012
Dimers on surface graphs and spin structures. II. Zbl 1168.82012
Cimasoni, David; Reshetikhin, Nicolai
2008
Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058
Reshetikhin, N.
2003
Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116
Bazhanov, V.; Bobenko, A.; Reshetikhin, N.
1996
$$\mathrm{O}(N)$$ invariant quantum field theoretical models: exact solution. Zbl 1223.81132
Reshetikhin, N. Yu.
1985
Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063
Kulish, P. P.; Reshetikhin, N. Yu.
1979
Semiclassical quantization of classical field Theories. Zbl 1315.81095
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2015
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2015
Integrability of limit shapes of the six vertex model. Zbl 1377.82022
Reshetikhin, Nicolai; Sridhar, Ananth
2017
Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083
Reshetikhin, Nicolai
2017
Remarks on the quantum dilogarithm. Zbl 0876.17035
Bazhanov, V. V.; Reshetikhin, N. Yu.
1995
Quantization of Lie bialgebras. Zbl 0760.17012
Reshetikhin, N.
1992
Limit shapes of the stochastic six vertex model. Zbl 1400.82055
Reshetikhin, Nicolai; Sridhar, Ananth
2018
Lectures on quantization of gauge systems. Zbl 1235.83004
Reshetikhin, N.
2010
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043
Reshetikhin, N.
2003
Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041
Kashaev, R. M.; Reshetikhin, N.
1997
Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. Zbl 0860.17008
Kirillov, A. N.; Reshetikhin, N. Yu.
1993
The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013
Reshetikhin, N. Yu.
1988
Asymptotic shapes with free boundaries. Zbl 1234.05051
Di Francesco, Philippe; Reshetikhin, Nicolai
2012
Quantum deformations of flag and Schubert schemes. Zbl 0753.17021
Lakshmibai, Venkatramani; Reshetikhin, Nicolai
1991
Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013
Kirillov, A. N.; Reshetikhin, N. Yu.
1988
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
1996
Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512
Reshetikhin, N. Yu.; Saleur, H.
1994
Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2016
Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011
Reshetikhin, Nicolai; Vertman, Boris
2015
On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306
Polyak, Michael; Reshetikhin, Nicolai
1997
Exactly solved quantum-mechanical systems on a lattice which are related to classical Lie algebras. Zbl 0525.58023
Reshetikhin, N. Yu.
1983
Schur-Weyl-type duality for quantized $$\mathfrak{gl}(1|1)$$, the Burau representation of braid groups, and invariants of tangled graphs. Zbl 1268.20040
Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben
2012
Braiding for quantum $$\text{gl}_2$$ at roots of unity. Zbl 1195.17011
Kashaev, Rinat; Reshetikhin, Nicolai
2005
Invariants of tangles with flat connections in their complements. Zbl 1083.57018
Kashaev, R.; Reshetikhin, N.
2005
Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099
Reshetikhin, Nicolai; Yakimov, Milen
2000
On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014
Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai
1993
Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
Quantum supergroups. Zbl 0791.17013
Reshetikhin, N.
1992
A cellular topological field theory. Zbl 07178356
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2020
Semiclassical geometry of integrable systems. Zbl 1390.81231
Reshetikhin, Nicolai
2018
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2018
Topological quantum field theory: 20 years later. Zbl 1237.57032
Reshetikhin, Nicolai
2010
Quantum invariant measures. Zbl 1009.20060
Reshetikhin, Nicolai; Yakimov, Milen
2001
Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066
Kashaev, Rinat M.; Reshetikhin, Nikolai Yu.
1999
Integrable discrete systems. Zbl 0862.35117
Reshetikhin, N.
1996
Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026
Reshetikhin, N. Yu.
1991
Quantum deformations of $$SL_ n/B$$ and its Schubert varieties. Zbl 0779.17014
Lakshmibai, V.; Reshetikhin, N.
1991
Invariants of links and 3-manifolds related to quantum groups. Zbl 0743.57005
Reshetikhin, Nicolai
1991
The exact solution of the Heisenberg XXZ-model of the spin S. Zbl 0586.35032
Kirillov, A. N.; Reshetikhin, N. Yu.
1985
Holonomy braidings, biquandles and quantum invariants of links with $$\mathsf{SL}_2(\mathbb{C})$$ flat connections. Zbl 1441.57010
Blanchet, Christian; Geer, Nathan; Patureau-Mirand, Bertrand; Reshetikhin, Nicolai
2020
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 07175756
Postnova, Olga; Reshetikhin, Nicolai
2020
A cellular topological field theory. Zbl 07178356
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2020
Holonomy braidings, biquandles and quantum invariants of links with $$\mathsf{SL}_2(\mathbb{C})$$ flat connections. Zbl 1441.57010
Blanchet, Christian; Geer, Nathan; Patureau-Mirand, Bertrand; Reshetikhin, Nicolai
2020
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 07175756
Postnova, Olga; Reshetikhin, Nicolai
2020
Conformal limit for dimer models on the hexagonal lattice. Zbl 1431.82009
Keating, D.; Reshetikhin, N.; Sridhar, A.
2019
Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2018
Limit shapes of the stochastic six vertex model. Zbl 1400.82055
Reshetikhin, Nicolai; Sridhar, Ananth
2018
Semiclassical geometry of integrable systems. Zbl 1390.81231
Reshetikhin, Nicolai
2018
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2018
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1397.81094
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2018
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1393.81014
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2018
Integrability of limit shapes of the six vertex model. Zbl 1377.82022
Reshetikhin, Nicolai; Sridhar, Ananth
2017
Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083
Reshetikhin, Nicolai
2017
Degenerately integrable systems. Zbl 1369.70035
Reshetikhin, N.
2016
Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2016
Semiclassical quantization of classical field Theories. Zbl 1315.81095
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2015
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2015
Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011
Reshetikhin, Nicolai; Vertman, Boris
2015
Classical BV theories on manifolds with boundary. Zbl 1302.81141
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
2014
Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007
Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter
2012
Asymptotic shapes with free boundaries. Zbl 1234.05051
Di Francesco, Philippe; Reshetikhin, Nicolai
2012
Schur-Weyl-type duality for quantized $$\mathfrak{gl}(1|1)$$, the Burau representation of braid groups, and invariants of tangled graphs. Zbl 1268.20040
Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben
2012
Lectures on the integrability of the six-vertex model. Zbl 1202.82022
Reshetikhin, N.
2010
Lectures on quantization of gauge systems. Zbl 1235.83004
Reshetikhin, N.
2010
Topological quantum field theory: 20 years later. Zbl 1237.57032
Reshetikhin, Nicolai
2010
Dimers on surface graphs and spin structures. II. Zbl 1168.82012
Cimasoni, David; Reshetikhin, Nicolai
2008
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
2007
Dimers on surface graphs and spin structures. I. Zbl 1135.82006
Cimasoni, David; Reshetikhin, Nicolai
2007
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
2006
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
2006
Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306
Allison, David; Reshetikhin, Nicolai
2005
Hopf algebras with trace and representations. Zbl 1132.17007
De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M.
2005
Braiding for quantum $$\text{gl}_2$$ at roots of unity. Zbl 1195.17011
Kashaev, Rinat; Reshetikhin, Nicolai
2005
Invariants of tangles with flat connections in their complements. Zbl 1083.57018
Kashaev, R.; Reshetikhin, N.
2005
Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134
Okounkov, Andrei; Reshetikhin, Nikolai
2003
Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058
Reshetikhin, N.
2003
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043
Reshetikhin, N.
2003
Quantum invariant measures. Zbl 1009.20060
Reshetikhin, Nicolai; Yakimov, Milen
2001
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
2000
Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074
Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai
2000
Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099
Reshetikhin, Nicolai; Yakimov, Milen
2000
Characteristic systems on Poisson Lie groups and their quantization. Zbl 1015.53050
Reshetikhin, Nicolai
2000
The $$q$$-characters of representations of quantum affine algebras and deformations of $$W$$-algebras. Zbl 0973.17015
Frenkel, Edward; Reshetikhin, Nicolai
1999
Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066
Kashaev, Rinat M.; Reshetikhin, Nikolai Yu.
1999
Deformations of $$W$$-algebras associated to simple Lie algebras. Zbl 0939.17011
Frenkel, Edward; Reshetikhin, Nicolai
1998
Quantization of the algebra of chord diagrams. Zbl 0943.57007
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
1998
Drinfeld-Sokolov reduction for difference operators and deformations of $${\mathcal W}$$-algebras. I: The case of Virasoro algebra. Zbl 0916.17020
Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A.
1998
Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041
Kashaev, R. M.; Reshetikhin, N.
1997
On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306
Polyak, Michael; Reshetikhin, Nicolai
1997
Quantum affine algebras and deformations of the Virasoro and $${\mathcal W}$$-algebras. Zbl 0869.17014
Frenkel, Edward; Reshetikhin, Nikolai
1996
The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
1996
Quantum discrete sine-Gordon model at roots of 1: Integrable quantum system on the integrable classical background. Zbl 0846.35116
Bazhanov, V.; Bobenko, A.; Reshetikhin, N.
1996
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
1996
Integrable discrete systems. Zbl 0862.35117
Reshetikhin, N.
1996
Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009
Reshetikhin, N.
1995
Remarks on the quantum dilogarithm. Zbl 0876.17035
Bazhanov, V. V.; Reshetikhin, N. Yu.
1995
Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103
Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai
1994
Quantum groups and flag varieties. Zbl 0818.17018
Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric
1994
Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512
Reshetikhin, N. Yu.; Saleur, H.
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 0801.00049
Sally, Paul J. jun. (ed.); Flato, Moshe (ed.); Lepowsky, James (ed.); Reshetikhin, Nicolai (ed.); Zuckerman, Gregg J. (ed.)
1994
Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras. Zbl 0860.17008
Kirillov, A. N.; Reshetikhin, N. Yu.
1993
On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014
Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai
1993
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015
Reshetikhin, N.
1992
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016
Reshetikhin, Nicolai
1992
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
1992
Quantization of Lie bialgebras. Zbl 0760.17012
Reshetikhin, N.
1992
Quantum affine algebras, commutative systems of difference equations and elliptic solutions to the Yang-Baxter equations. Zbl 0818.17011
Frenkel, I. B.; Reshetikhin, N. Yu.
1992
Quantum supergroups. Zbl 0791.17013
Reshetikhin, N.
1992
Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007
Reshetikhin, N.; Turaev, V. G.
1991
A new exactly solvable case of an $$O(n)$$-model on a hexagonal lattice. Zbl 0737.60093
Reshetikhin, N. Yu.
1991
$$S$$-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024
Reshetikhin, N.
1991
Quantum deformations of flag and Schubert schemes. Zbl 0753.17021
Lakshmibai, Venkatramani; Reshetikhin, Nicolai
1991
Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026
Reshetikhin, N. Yu.
1991
Quantum deformations of $$SL_ n/B$$ and its Schubert varieties. Zbl 0779.17014
Lakshmibai, V.; Reshetikhin, N.
1991
Invariants of links and 3-manifolds related to quantum groups. Zbl 0743.57005
Reshetikhin, Nicolai
1991
Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003
Reshetikhin, N. Yu.; Turaev, V. G.
1990
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
1990
Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006
Reshetikhin, N.
1990
q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014
Kirillov, A. N.; Reshetikhin, N.
1990
Central extensions of quantum current groups. Zbl 0692.22011
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
1990
Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024
Bazhanov, V. V.; Reshetikhin, N.
1990
Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077
Reshetikhin, N.; Smirnov, F.
1990
Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016
Reshetikhin, N. Yu.
1990
Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040
Bazhanov, V. V.; Reshetikhin, N. Yu.
1990
Representations of the algebra $$U_ q(sl(2))$$, $$q$$-orthogonal polynomials and invariants of links. Zbl 0742.17018
Kirillov, A. N.; Reshetikhin, N. Yu.
1989
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
1989
Universal R-matrix of the quantum superalgebra osp(2$$| 1)$$. Zbl 0694.17008
Kulish, P. P.; Reshetikhin, N. Yu.
1989
Critical RSOS models and conformal field theory. Zbl 0693.58046
Bazhanov, V. V.; Reshetikhin, N. Yu.
1989
Quantum groups. Zbl 0716.17010
1989
Quantum R-matrices and factorization problems. Zbl 0711.17008
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
1988
The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029
Kirillov, A. N.; Reshetikhin, N. Yu.
1988
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
1988
The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013
Reshetikhin, N. Yu.
1988
Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013
Kirillov, A. N.; Reshetikhin, N. Yu.
1988
Classification of the string solutions of Bethe equations in an XXZ model of arbitrary spin. Zbl 0644.35085
Kirillov, A. N.; Reshetikhin, N. Yu.
1988
Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras. Zbl 0900.16047
Kirillov, A. N.; Reshetikhin, N. Yu.
1987
The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006
Reshetikhin, N. Yu.
1987
Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras. Zbl 0637.16007
Kirillov, A. N.; Reshetikhin, N. Yu.
1987
Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025
Kirillov, A. N.; Reshetikhin, N. Yu.
1986
The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027
Kirillov, A. N.; Reshetikhin, N. Yu.
1986
...and 10 more Documents
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
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#### 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
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#### 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)

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