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Reshetikhin, Nikolai Yu.

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Author ID: reshetikhin.nikolai-yu Recent zbMATH articles by "Reshetikhin, Nikolai Yu."
Published as: Reshetikhin, Nicolai; Reshetikhin, N. Yu.; Reshetikhin, N.; Reshetikhin, Nikolai; Reshetikhin, Nikolai Yu.
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

Publications by Year

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 0725.57007
Reshetikhin, N.; Turaev, V. G.
461
1991
Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003
Reshetikhin, N. Yu.; Turaev, V. G.
358
1990
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
266
1990
Yang-Baxter equation and representation theory. I. Zbl 0502.35074
Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K.
215
1981
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, 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 1009.05134
Okounkov, Andrei; Reshetikhin, Nikolai
163
2003
Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006
Reshetikhin, N.
137
1990
The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015
Frenkel, Edward; Reshetikhin, Nicolai
126
1999
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
106
2006
Quantum R-matrices and factorization problems. Zbl 0711.17008
Reshetikhin, 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 0545.35082
Kulish, P. P.; Reshetikhin, N. Yu.
93
1983
Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103
Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai
91
1994
q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014
Kirillov, A. N.; Reshetikhin, N.
84
1990
Central extensions of quantum current groups. Zbl 0692.22011
Reshetikhin, 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 0742.17018
Kirillov, A. N.; Reshetikhin, N. Yu.
72
1989
Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024
Bazhanov, V. V.; Reshetikhin, N.
62
1990
Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008
Kulish, P. P.; Reshetikhin, N. Yu.
59
1989
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
58
2007
Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014
Frenkel, Edward; Reshetikhin, Nikolai
55
1996
The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029
Kirillov, A. N.; Reshetikhin, N. Yu.
53
1988
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
51
1989
Classical BV theories on manifolds with boundary. Zbl 1302.81141
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
44
2014
Critical RSOS models and conformal field theory. Zbl 0693.58046
Bazhanov, V. V.; Reshetikhin, N. Yu.
44
1989
Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011
Frenkel, Edward; Reshetikhin, Nicolai
43
1998
Dimers on surface graphs and spin structures. I. Zbl 1135.82006
Cimasoni, David; Reshetikhin, Nicolai
38
2007
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
35
2006
Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025
Kirillov, 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 0900.16047
Kirillov, A. N.; Reshetikhin, N. Yu.
29
1987
Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077
Reshetikhin, N.; Smirnov, F.
29
1990
The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006
Reshetikhin, N. Yu.
27
1987
Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015
Reshetikhin, N.
26
1992
Quantization of the algebra of chord diagrams. Zbl 0943.57007
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
25
1998
The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027
Kirillov, A. N.; Reshetikhin, N. Yu.
25
1986
Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306
Allison, David; Reshetikhin, Nicolai
25
2005
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
24
1986
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016
Reshetikhin, Nicolai
23
1992
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
23
1988
Lectures on the integrability of the six-vertex model. Zbl 1202.82022
Reshetikhin, N.
22
2010
Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
22
2018
The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
22
1996
Quantum groups and flag varieties. Zbl 0818.17018
Ginzburg, 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 0916.17020
Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A.
20
1998
Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074
Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai
19
2000
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
18
1992
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
18
2000
Exact solution of the Heisenberg XXZ model of spin s. Zbl 0612.35029
Kirillov, A. N.; Reshetikhin, N. Yu.
17
1986
Degenerately integrable systems. Zbl 1369.70035
Reshetikhin, N.
17
2016
Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058
Reshetikhin, N.
15
2003
Hopf algebras with trace and representations. Zbl 1132.17007
De 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 0737.60093
Reshetikhin, N. Yu.
14
1991
Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016
Reshetikhin, N. Yu.
14
1990
\(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024
Reshetikhin, N.
12
1991
Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009
Reshetikhin, N.
12
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.
12
1987
Dimers on surface graphs and spin structures. II. Zbl 1168.82012
Cimasoni, David; Reshetikhin, Nicolai
12
2008
Integrability of limit shapes of the six vertex model. Zbl 1377.82022
Reshetikhin, Nicolai; Sridhar, Ananth
11
2017
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.
11
1996
Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007
Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter
11
2012
\(\mathrm{O}(N)\) invariant quantum field theoretical models: exact solution. Zbl 1223.81132
Reshetikhin, N. Yu.
11
1985
Limit shapes of the stochastic six vertex model. Zbl 1400.82055
Reshetikhin, Nicolai; Sridhar, Ananth
9
2018
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043
Reshetikhin, N.
9
2003
Remarks on the quantum dilogarithm. Zbl 0876.17035
Bazhanov, V. V.; Reshetikhin, N. Yu.
9
1995
Lectures on quantization of gauge systems. Zbl 1235.83004
Reshetikhin, N.
9
2010
Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083
Reshetikhin, Nicolai
9
2017
Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026
Reshetikhin, N. Yu.
8
1991
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
8
2015
Quantization of Lie bialgebras. Zbl 0760.17012
Reshetikhin, N.
7
1992
Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041
Kashaev, R. M.; Reshetikhin, N.
7
1997
Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063
Kulish, 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 0860.17008
Kirillov, A. N.; Reshetikhin, N. Yu.
7
1993
Asymptotic shapes with free boundaries. Zbl 1234.05051
Di Francesco, Philippe; Reshetikhin, Nicolai
7
2012
Semiclassical quantization of classical field Theories. Zbl 1315.81095
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
7
2015
Quantum deformations of flag and Schubert schemes. Zbl 0753.17021
Lakshmibai, Venkatramani; Reshetikhin, Nicolai
6
1991
The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013
Reshetikhin, N. Yu.
6
1988
Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013
Kirillov, A. N.; Reshetikhin, N. Yu.
6
1988
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
5
1996
Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
4
2016
Quantum supergroups. Zbl 0791.17013
Reshetikhin, 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 1268.20040
Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben
4
2012
On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306
Polyak, Michael; Reshetikhin, Nicolai
4
1997
A cellular topological field theory. Zbl 07178356
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
4
2020
Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011
Reshetikhin, Nicolai; Vertman, Boris
4
2015
On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014
Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai
3
1993
Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099
Reshetikhin, Nicolai; Yakimov, Milen
3
2000
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.
3
1992
Invariants of tangles with flat connections in their complements. Zbl 1083.57018
Kashaev, R.; Reshetikhin, N.
3
2005
Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011
Kashaev, Rinat; Reshetikhin, Nicolai
3
2005
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035
Postnova, Olga; Reshetikhin, Nicolai
3
2020
Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014
Lakshmibai, V.; Reshetikhin, N.
2
1991
The exact solution of the Heisenberg XXZ-model of the spin S. Zbl 0586.35032
Kirillov, A. N.; Reshetikhin, N. Yu.
2
1985
Quantum invariant measures. Zbl 1009.20060
Reshetikhin, Nicolai; Yakimov, Milen
2
2001
Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512
Reshetikhin, N. Yu.; Saleur, H.
2
1994
Topological quantum field theory: 20 years later. Zbl 1237.57032
Reshetikhin, Nicolai
2
2010
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2
2018
Semiclassical geometry of integrable systems. Zbl 1390.81231
Reshetikhin, Nicolai
2
2018
Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040
Bazhanov, V. V.; Reshetikhin, N. Yu.
2
1990
Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057
Reshetikhin, Nicolai
2
2021
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1397.81094
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
1
2018
Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066
Kashaev, Rinat M.; Reshetikhin, Nikolai Yu.
1
1999
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1393.81014
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
1
2018
Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057
Reshetikhin, Nicolai
2
2021
A cellular topological field theory. Zbl 07178356
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
4
2020
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035
Postnova, Olga; Reshetikhin, Nicolai
3
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
1
2020
Conformal limit for dimer models on the hexagonal lattice. Zbl 1431.82009
Keating, D.; Reshetikhin, N.; Sridhar, A.
1
2019
Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
22
2018
Limit shapes of the stochastic six vertex model. Zbl 1400.82055
Reshetikhin, Nicolai; Sridhar, Ananth
9
2018
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
2
2018
Semiclassical geometry of integrable systems. Zbl 1390.81231
Reshetikhin, Nicolai
2
2018
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1397.81094
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
1
2018
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1393.81014
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
1
2018
Integrability of limit shapes of the six vertex model. Zbl 1377.82022
Reshetikhin, Nicolai; Sridhar, Ananth
11
2017
Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083
Reshetikhin, Nicolai
9
2017
Degenerately integrable systems. Zbl 1369.70035
Reshetikhin, N.
17
2016
Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
4
2016
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
8
2015
Semiclassical quantization of classical field Theories. Zbl 1315.81095
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
7
2015
Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011
Reshetikhin, Nicolai; Vertman, Boris
4
2015
Classical BV theories on manifolds with boundary. Zbl 1302.81141
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
44
2014
Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007
Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter
11
2012
Asymptotic shapes with free boundaries. Zbl 1234.05051
Di 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 1268.20040
Reshetikhin, Nicolai; Stroppel, Catharina; Webster, Ben
4
2012
Lectures on the integrability of the six-vertex model. Zbl 1202.82022
Reshetikhin, N.
22
2010
Lectures on quantization of gauge systems. Zbl 1235.83004
Reshetikhin, N.
9
2010
Topological quantum field theory: 20 years later. Zbl 1237.57032
Reshetikhin, Nicolai
2
2010
Dimers on surface graphs and spin structures. II. Zbl 1168.82012
Cimasoni, David; Reshetikhin, Nicolai
12
2008
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
58
2007
Dimers on surface graphs and spin structures. I. Zbl 1135.82006
Cimasoni, David; Reshetikhin, Nicolai
38
2007
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
106
2006
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
35
2006
Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306
Allison, David; Reshetikhin, Nicolai
25
2005
Hopf algebras with trace and representations. Zbl 1132.17007
De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M.
15
2005
Invariants of tangles with flat connections in their complements. Zbl 1083.57018
Kashaev, R.; Reshetikhin, N.
3
2005
Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011
Kashaev, Rinat; Reshetikhin, Nicolai
3
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
163
2003
Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058
Reshetikhin, N.
15
2003
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043
Reshetikhin, N.
9
2003
Quantum invariant measures. Zbl 1009.20060
Reshetikhin, Nicolai; Yakimov, Milen
2
2001
Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074
Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai
19
2000
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
18
2000
Deformation quantization of Lagrangian fiber bundles. Zbl 0979.53099
Reshetikhin, Nicolai; Yakimov, Milen
3
2000
Characteristic systems on Poisson Lie groups and their quantization. Zbl 1015.53050
Reshetikhin, Nicolai
1
2000
The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015
Frenkel, Edward; Reshetikhin, Nicolai
126
1999
Affine Toda field theory as a three-dimensional integrable system. Zbl 1056.81066
Kashaev, Rinat M.; Reshetikhin, Nikolai Yu.
1
1999
Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011
Frenkel, Edward; Reshetikhin, Nicolai
43
1998
Quantization of the algebra of chord diagrams. Zbl 0943.57007
Andersen, 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 0916.17020
Frenkel, E.; Reshetikhin, N.; Semenov-Tian-Shansky, M. A.
20
1998
Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041
Kashaev, R. M.; Reshetikhin, N.
7
1997
On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306
Polyak, Michael; Reshetikhin, Nicolai
4
1997
Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014
Frenkel, Edward; Reshetikhin, Nikolai
55
1996
The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009
Andersen, 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 0846.35116
Bazhanov, V.; Bobenko, A.; Reshetikhin, N.
11
1996
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
5
1996
Integrable discrete systems. Zbl 0862.35117
Reshetikhin, N.
1
1996
Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009
Reshetikhin, N.
12
1995
Remarks on the quantum dilogarithm. Zbl 0876.17035
Bazhanov, V. V.; Reshetikhin, N. Yu.
9
1995
Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103
Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai
91
1994
Quantum groups and flag varieties. Zbl 0818.17018
Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric
21
1994
Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512
Reshetikhin, 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 0860.17008
Kirillov, A. N.; Reshetikhin, N. Yu.
7
1993
On invariants of 3-manifolds derived from abelian groups. Zbl 0855.57014
Mattes, Josef; Polyak, Michael; Reshetikhin, Nikolai
3
1993
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
190
1992
Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015
Reshetikhin, N.
26
1992
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016
Reshetikhin, Nicolai
23
1992
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
18
1992
Quantization of Lie bialgebras. Zbl 0760.17012
Reshetikhin, N.
7
1992
Quantum supergroups. Zbl 0791.17013
Reshetikhin, N.
4
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.
3
1992
Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007
Reshetikhin, N.; Turaev, V. G.
461
1991
A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093
Reshetikhin, N. Yu.
14
1991
\(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024
Reshetikhin, N.
12
1991
Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026
Reshetikhin, N. Yu.
8
1991
Quantum deformations of flag and Schubert schemes. Zbl 0753.17021
Lakshmibai, Venkatramani; Reshetikhin, Nicolai
6
1991
Quantum deformations of \(SL_ n/B\) and its Schubert varieties. Zbl 0779.17014
Lakshmibai, V.; Reshetikhin, N.
2
1991
Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003
Reshetikhin, N. Yu.; Turaev, V. G.
358
1990
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
266
1990
Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006
Reshetikhin, N.
137
1990
q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014
Kirillov, A. N.; Reshetikhin, N.
84
1990
Central extensions of quantum current groups. Zbl 0692.22011
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
81
1990
Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024
Bazhanov, V. V.; Reshetikhin, N.
62
1990
Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077
Reshetikhin, N.; Smirnov, F.
29
1990
Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016
Reshetikhin, N. Yu.
14
1990
Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040
Bazhanov, V. V.; Reshetikhin, N. Yu.
2
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.
72
1989
Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008
Kulish, P. P.; Reshetikhin, N. Yu.
59
1989
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
51
1989
Critical RSOS models and conformal field theory. Zbl 0693.58046
Bazhanov, V. V.; Reshetikhin, N. Yu.
44
1989
Quantum groups. Zbl 0716.17010
Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L.
1
1989
Quantum R-matrices and factorization problems. Zbl 0711.17008
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
96
1988
The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029
Kirillov, A. N.; Reshetikhin, N. Yu.
53
1988
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
23
1988
The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013
Reshetikhin, N. Yu.
6
1988
Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013
Kirillov, A. N.; Reshetikhin, N. Yu.
6
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.
1
1988
Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras. Zbl 0900.16047
Kirillov, A. N.; Reshetikhin, N. Yu.
29
1987
The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006
Reshetikhin, N. Yu.
27
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.
12
1987
Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025
Kirillov, A. N.; Reshetikhin, N. Yu.
33
1986
The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027
Kirillov, A. N.; Reshetikhin, N. Yu.
25
1986
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
24
1986
...and 9 more Documents
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
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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
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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)

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