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Reshetikhin, Nikolai Yu.

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.
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Co-Authors

31 single-authored
19 Kirillov, Anatol N.
8 Cattaneo, Alberto Sergio
8 Mnëv, Pavel
7 Frenkel, Edward V.
7 Stokman, Jasper V.
6 Kashaev, Rinat M.
6 Kulish, Petr Petrovich
5 Bazhanov, Vladimir V.
5 Takhtajan, Leon Armenovich
4 Mattes, Josef
4 Okun’kov, Andreĭ Yur’evich
4 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich
4 Sridhar, Ananth
4 Vlaar, Bart
3 Faddeev, Lyudvig Dmitrievich
3 Lakshmibai, Venkatramani
2 Andersen, Jørgen Ellegaard
2 Cimasoni, David
2 De Concini, Corrado
2 Frenkel, Igor B.
2 Geer, Nathan
2 Hernandez, David
2 Keating, David A.
2 Kerov, Sergei V.
2 Polyak, Michael
2 Postnova, Olga V.
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 Belov, Pavel A.
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, Marston Donald Edward
1 Connes, Alain
1 Daskalopoulos, Panagiota
1 De Clercq, Hadewijch
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 Haghighat, Babak
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 Koelink, Erik
1 Kolb, Stefan
1 Kozlov, Valeriĭ Vasil’evich
1 Krichever, Igor’ Moiseevich
1 Kutz, Nadja
1 Lehrer, Gustav Isaac
1 Lepowsky, James
1 Liu, Yihua
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 Orlando, Domenico
1 Palamarchuk, K.
1 Patureau-Mirand, Bertrand
1 Polyakov, Aleksandr Markovich
1 Popa, Sorin Teodor
1 Procesi, Claudio
1 Ratcliffe, John G.
1 Reffert, Susanne
1 Rosso, Marc
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.
...and 12 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 4,795 times in 3,449 Documents Cited by Year
Invariants of 3-manifolds via link polynomials and quantum groups. Zbl 0725.57007
Reshetikhin, N.; Turaev, V. G.
562
1991
Ribbon graphs and their invariants derived from quantum groups. Zbl 0768.57003
Reshetikhin, N. Yu.; Turaev, V. G.
412
1990
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
319
1990
Yang-Baxter equation and representation theory. I. Zbl 0502.35074
Kulish, P. P.; Reshetikhin, N. Yu.; Sklyanin, E. K.
261
1981
Quantum affine algebras and holonomic difference equations. Zbl 0760.17006
Frenkel, I. B.; Reshetikhin, N. Yu.
217
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
189
2003
The \(q\)-characters of representations of quantum affine algebras and deformations of \(W\)-algebras. Zbl 0973.17015
Frenkel, Edward; Reshetikhin, Nicolai
166
1999
Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006
Reshetikhin, N.
152
1990
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
138
2006
Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103
Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai
119
1994
Diagonalisation of \(\text{GL}(N)\) invariant transfer matrices and quantum \(N\)-wave system (Lee model). Zbl 0545.35082
Kulish, P. P.; Reshetikhin, N. Yu.
104
1983
Quantum R-matrices and factorization problems. Zbl 0711.17008
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
101
1988
q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014
Kirillov, A. N.; Reshetikhin, N.
99
1990
Central extensions of quantum current groups. Zbl 0692.22011
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
94
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.
92
1989
Classical BV theories on manifolds with boundary. Zbl 1302.81141
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
83
2014
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
71
2007
Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024
Bazhanov, V. V.; Reshetikhin, N.
70
1990
Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras. Zbl 0869.17014
Frenkel, Edward; Reshetikhin, Nikolai
69
1996
Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008
Kulish, P. P.; Reshetikhin, N. Yu.
67
1989
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
66
1989
The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029
Kirillov, A. N.; Reshetikhin, N. Yu.
57
1988
Deformations of \(W\)-algebras associated to simple Lie algebras. Zbl 0939.17011
Frenkel, Edward; Reshetikhin, Nicolai
57
1998
Dimers on surface graphs and spin structures. I. Zbl 1135.82006
Cimasoni, David; Reshetikhin, Nicolai
51
2007
Critical RSOS models and conformal field theory. Zbl 0693.58046
Bazhanov, V. V.; Reshetikhin, N. Yu.
50
1989
The spectrum of the transfer matrices connected with Kac-Moody algebras. Zbl 0636.17006
Reshetikhin, N. Yu.
48
1987
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
43
2006
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.
39
1987
Perturbative quantum gauge theories on manifolds with boundary. Zbl 1390.81381
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
39
2018
Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077
Reshetikhin, N.; Smirnov, F.
37
1990
Bethe Ansatz and combinatorics of the Young tableaux. Zbl 0617.20025
Kirillov, A. N.; Reshetikhin, N. Yu.
35
1986
Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306
Allison, David; Reshetikhin, Nicolai
34
2005
Lectures on the integrability of the six-vertex model. Zbl 1202.82022
Reshetikhin, N.
31
2010
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016
Reshetikhin, Nicolai
30
1992
The Yangians, Bethe Ansatz and combinatorics. Zbl 0643.20027
Kirillov, A. N.; Reshetikhin, N. Yu.
28
1986
Quantization of the algebra of chord diagrams. Zbl 0943.57007
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
26
1998
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0617.20024
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
26
1986
Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015
Reshetikhin, N.
26
1992
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.
25
1998
Quantum groups and flag varieties. Zbl 0818.17018
Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric
25
1994
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
24
1988
Exact solution of the Heisenberg XXZ model of spin s. Zbl 0612.35029
Kirillov, A. N.; Reshetikhin, N. Yu.
24
1986
The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
23
1996
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.
21
1987
Factorization dynamics and Coxeter-Toda lattices. Zbl 0989.37074
Hoffmann, Tim; Kellendonk, Johannes; Kutz, Nadja; Reshetikhin, Nicolai
21
2000
Degenerately integrable systems. Zbl 1369.70035
Reshetikhin, N.
20
2016
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
19
1992
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
19
2000
A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093
Reshetikhin, N. Yu.
19
1991
Hopf algebras with trace and representations. Zbl 1132.17007
De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M.
18
2005
Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016
Reshetikhin, N. Yu.
18
1990
Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058
Reshetikhin, N.
18
2003
Dimers on surface graphs and spin structures. II. Zbl 1168.82012
Cimasoni, David; Reshetikhin, Nicolai
17
2008
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.
14
1996
Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007
Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter
14
2012
\(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024
Reshetikhin, N.
14
1991
Limit shapes of the stochastic six vertex model. Zbl 1400.82055
Reshetikhin, Nicolai; Sridhar, Ananth
14
2018
Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083
Reshetikhin, Nicolai
13
2017
Quasitriangularity of quantum groups at roots of 1. Zbl 0838.17009
Reshetikhin, N.
12
1995
\(\mathrm{O}(N)\) invariant quantum field theoretical models: exact solution. Zbl 1223.81132
Reshetikhin, N. Yu.
12
1985
Lectures on quantization of gauge systems. Zbl 1235.83004
Reshetikhin, N.
12
2010
Integrability of limit shapes of the six vertex model. Zbl 1377.82022
Reshetikhin, Nicolai; Sridhar, Ananth
12
2017
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
11
2015
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043
Reshetikhin, N.
10
2003
Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026
Reshetikhin, N. Yu.
10
1991
Semiclassical quantization of classical field Theories. Zbl 1315.81095
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
10
2015
Quantization of Lie bialgebras. Zbl 0760.17012
Reshetikhin, N.
9
1992
Remarks on the quantum dilogarithm. Zbl 0876.17035
Bazhanov, V. V.; Reshetikhin, N. Yu.
9
1995
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.
9
1993
Folded quantum integrable models and deformed \(W\)-algebras. Zbl 1513.81077
Frenkel, Edward; Hernandez, David; Reshetikhin, Nicolai
9
2022
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035
Postnova, Olga; Reshetikhin, Nicolai
9
2020
Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512
Reshetikhin, N. Yu.; Saleur, H.
8
1994
Asymptotic shapes with free boundaries. Zbl 1234.05051
Di Francesco, Philippe; Reshetikhin, Nicolai
8
2012
Generalized Heisenberg ferromagnet and the Gross-Neveu model. Zbl 0437.46063
Kulish, P. P.; Reshetikhin, N. Yu.
8
1979
Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011
Reshetikhin, Nicolai; Vertman, Boris
8
2015
The algebraic Bethe-Ansatz for SO(N)-invariant transfer-matrices. Zbl 0673.22013
Reshetikhin, N. Yu.
7
1988
Affine Toda field theory as a 3-dimensional integrable system. Zbl 0892.58041
Kashaev, R. M.; Reshetikhin, N.
7
1997
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
7
1996
\(N\)-point spherical functions and asymptotic boundary KZB equations. Zbl 1504.22018
Stokman, J. V.; Reshetikhin, N.
7
2022
A cellular topological field theory. Zbl 1514.81235
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
7
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
7
2020
Multiplicity of weights in irreducible tensor representations of a complete linear superalgebra. Zbl 0675.17013
Kirillov, A. N.; Reshetikhin, N. Yu.
6
1988
Quantum deformations of flag and Schubert schemes. Zbl 0753.17021
Lakshmibai, Venkatramani; Reshetikhin, Nicolai
6
1991
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
5
2012
Invariants of tangles with flat connections in their complements. Zbl 1083.57018
Kashaev, R.; Reshetikhin, N.
5
2005
Quantum supergroups. Zbl 0791.17013
Reshetikhin, N.
5
1992
Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
5
2016
The two-point correlation function in the six-vertex model. Zbl 1505.82036
Belov, Pavel; Reshetikhin, Nicolai
5
2022
Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057
Reshetikhin, Nicolai
5
2021
Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011
Kashaev, Rinat; Reshetikhin, Nicolai
4
2005
On 2D Yang-Mills theory and invariants of links. Zbl 1149.58306
Polyak, Michael; Reshetikhin, Nicolai
4
1997
Topological quantum field theory: 20 years later. Zbl 1237.57032
Reshetikhin, Nicolai
3
2010
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
Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040
Bazhanov, V. V.; Reshetikhin, N. Yu.
3
1990
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
3
2018
Memories of Vaughan Jones. Zbl 1480.01028
Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin
3
2021
Superintegrable systems on moduli spaces of flat connections. Zbl 1483.37072
Arthamonov, S.; Reshetikhin, N.
3
2021
Semiclassical geometry of integrable systems. Zbl 1390.81231
Reshetikhin, Nicolai
3
2018
Folded quantum integrable models and deformed \(W\)-algebras. Zbl 1513.81077
Frenkel, Edward; Hernandez, David; Reshetikhin, Nicolai
9
2022
\(N\)-point spherical functions and asymptotic boundary KZB equations. Zbl 1504.22018
Stokman, J. V.; Reshetikhin, N.
7
2022
The two-point correlation function in the six-vertex model. Zbl 1505.82036
Belov, Pavel; Reshetikhin, Nicolai
5
2022
Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains. Zbl 1511.17066
Reshetikhin, N.; Stokman, J. V.
2
2022
Spin Calogero-Moser models on symmetric spaces. Zbl 1468.81057
Reshetikhin, Nicolai
5
2021
Memories of Vaughan Jones. Zbl 1480.01028
Bisch, Dietmar; Evans, David E.; Kirby, Robion; Popa, Sorin
3
2021
Superintegrable systems on moduli spaces of flat connections. Zbl 1483.37072
Arthamonov, S.; Reshetikhin, N.
3
2021
Superintegrability of generalized Toda models on symmetric spaces. Zbl 1497.37067
Reshetikhin, Nicolai; Schrader, Gus
2
2021
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras. Zbl 1472.17035
Postnova, Olga; Reshetikhin, Nicolai
9
2020
A cellular topological field theory. Zbl 1514.81235
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
7
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
7
2020
The ties that bind. Olga Alexandrovna Ladyzhenskaya and the 2022 ICM in St. Petersburg. Zbl 1454.01033
Dumbaugh, Della; Daskalopoulos, Panagiota; Vershik, Anatoly; Kapitanski, Lev; Reshetikhin, Nicolai; Apushkinskaya, Darya; Nazarov, Alexander
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
39
2018
Limit shapes of the stochastic six vertex model. Zbl 1400.82055
Reshetikhin, Nicolai; Sridhar, Ananth
14
2018
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations. Zbl 1377.81071
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
3
2018
Semiclassical geometry of integrable systems. Zbl 1390.81231
Reshetikhin, Nicolai
3
2018
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1393.81014
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
1
2018
Poisson sigma model and semiclassical quantization of integrable systems. Zbl 1397.81094
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
1
2018
Degenerate integrability of quantum spin Calogero-Moser systems. Zbl 1367.81083
Reshetikhin, Nicolai
13
2017
Integrability of limit shapes of the six vertex model. Zbl 1377.82022
Reshetikhin, Nicolai; Sridhar, Ananth
12
2017
Degenerately integrable systems. Zbl 1369.70035
Reshetikhin, N.
20
2016
Boundary quantum Knizhnik-Zamolodchikov equations and fusion. Zbl 1347.81053
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
5
2016
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors. Zbl 1312.81122
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart
11
2015
Semiclassical quantization of classical field Theories. Zbl 1315.81095
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
10
2015
Combinatorial quantum field theory and gluing formula for determinants. Zbl 1312.58011
Reshetikhin, Nicolai; Vertman, Boris
8
2015
Classical BV theories on manifolds with boundary. Zbl 1302.81141
Cattaneo, Alberto S.; Mnev, Pavel; Reshetikhin, Nicolai
83
2014
Recursion formulas for HOMFLY and Kauffman invariants. Zbl 1312.57005
Chen, Qingtao; Reshetikhin, Nicolai
1
2014
Random skew plane partitions with a piecewise periodic back wall. Zbl 1274.82007
Boutillier, Cedric; Mkrtchyan, Sevak; Reshetikhin, Nicolai; Tingley, Peter
14
2012
Asymptotic shapes with free boundaries. Zbl 1234.05051
Di Francesco, Philippe; Reshetikhin, Nicolai
8
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
5
2012
Lectures on the integrability of the six-vertex model. Zbl 1202.82022
Reshetikhin, N.
31
2010
Lectures on quantization of gauge systems. Zbl 1235.83004
Reshetikhin, N.
12
2010
Topological quantum field theory: 20 years later. Zbl 1237.57032
Reshetikhin, Nicolai
3
2010
Dimers on surface graphs and spin structures. II. Zbl 1168.82012
Cimasoni, David; Reshetikhin, Nicolai
17
2008
Random skew plane partitions and the Pearcey process. Zbl 1115.60011
Okounkov, Andrei; Reshetikhin, Nicolai
71
2007
Dimers on surface graphs and spin structures. I. Zbl 1135.82006
Cimasoni, David; Reshetikhin, Nicolai
51
2007
Quantum Calabi-Yau and classical crystals. Zbl 1129.81080
Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun
138
2006
The birth of a random matrix. Zbl 1130.15014
Okounkov, Andrei; Reshetikhin, Nicolai
43
2006
Numerical study of the 6-vertex model with domain wall boundary conditions. Zbl 1155.82306
Allison, David; Reshetikhin, Nicolai
34
2005
Hopf algebras with trace and representations. Zbl 1132.17007
De Concini, C.; Procesi, C.; Reshetikhin, N.; Rosso, M.
18
2005
Invariants of tangles with flat connections in their complements. Zbl 1083.57018
Kashaev, R.; Reshetikhin, N.
5
2005
Braiding for quantum \(\text{gl}_2\) at roots of unity. Zbl 1195.17011
Kashaev, Rinat; Reshetikhin, Nicolai
4
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
189
2003
Degenerate integrability of the spin Calogero-Moser systems and the duality with the spin Ruijsenaars systems. Zbl 1026.37058
Reshetikhin, N.
18
2003
Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. Zbl 1078.37043
Reshetikhin, N.
10
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
21
2000
Deformation quantization of Kähler manifolds. Zbl 1003.53061
Reshetikhin, N.; Takhtajan, L. A.
19
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
166
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
57
1998
Quantization of the algebra of chord diagrams. Zbl 0943.57007
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
26
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.
25
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
69
1996
The Poisson structure on the moduli space of flat connections and chord diagrams. Zbl 0857.58009
Andersen, Jørgen Ellegaard; Mattes, Josef; Reshetikhin, Nicolai
23
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.
14
1996
Semiquantum geometry. Zbl 0896.17004
Reshetikhin, N.; Voronov, A.; Weinstein, A.
7
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
119
1994
Quantum groups and flag varieties. Zbl 0818.17018
Ginzburg, Victor; Reshetikhin, Nicolai; Vasserot, Eric
25
1994
Lattice regularization of massive and massless integrable field theories. Zbl 0990.82512
Reshetikhin, N. Yu.; Saleur, H.
8
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.
9
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.
217
1992
The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem. Zbl 0776.17016
Reshetikhin, Nicolai
30
1992
Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. Zbl 0776.17015
Reshetikhin, N.
26
1992
Quantum flag and Schubert schemes. Zbl 0792.17012
Lakshmibai, V.; Reshetikhin, N.
19
1992
Quantization of Lie bialgebras. Zbl 0760.17012
Reshetikhin, N.
9
1992
Quantum supergroups. Zbl 0791.17013
Reshetikhin, N.
5
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.
562
1991
A new exactly solvable case of an \(O(n)\)-model on a hexagonal lattice. Zbl 0737.60093
Reshetikhin, N. Yu.
19
1991
\(S\)-matrices in integrable models of isotropic magnetic chains. I. Zbl 0738.58024
Reshetikhin, N.
14
1991
Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices. Zbl 0723.22026
Reshetikhin, N. Yu.
10
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.
412
1990
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
319
1990
Multiparameter quantum groups and twisted quasitriangular Hopf algebras. Zbl 0719.17006
Reshetikhin, N.
152
1990
q-Weyl group and a multiplicative formula for universal R-matrices. Zbl 0723.17014
Kirillov, A. N.; Reshetikhin, N.
99
1990
Central extensions of quantum current groups. Zbl 0692.22011
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
94
1990
Restricted solid-on-solid models connected with simply laced algebras and conformal field theory. Zbl 0712.17024
Bazhanov, V. V.; Reshetikhin, N.
70
1990
Hidden quantum group symmetry and integrable perturbations of conformal field theories. Zbl 0723.35077
Reshetikhin, N.; Smirnov, F.
37
1990
Quasitriangular Hopf algebras and invariants of tangles. Zbl 0715.17016
Reshetikhin, N. Yu.
18
1990
Scattering amplitudes in offcritical models and RSOS integrable models. Zbl 0784.17040
Bazhanov, V. V.; Reshetikhin, N. Yu.
3
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.
92
1989
Universal R-matrix of the quantum superalgebra osp(2\(| 1)\). Zbl 0694.17008
Kulish, P. P.; Reshetikhin, N. Yu.
67
1989
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
66
1989
Critical RSOS models and conformal field theory. Zbl 0693.58046
Bazhanov, V. V.; Reshetikhin, N. Yu.
50
1989
Quantum groups. Zbl 0716.17010
Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L.
2
1989
Quantum R-matrices and factorization problems. Zbl 0711.17008
Reshetikhin, N. Yu.; Semenov-Tian-Shansky, Michael A.
101
1988
The Bethe Ansatz and the combinatorics of Young tableaux. Zbl 0639.20029
Kirillov, A. N.; Reshetikhin, N. Yu.
57
1988
Combinatorics, Bethe Ansatz, and representations of the symmetric group. Zbl 0639.20028
Kerov, S. V.; Kirillov, A. N.; Reshetikhin, N. Yu.
24
1988
...and 18 more Documents
all top 5

Cited by 2,735 Authors

56 Reshetikhin, Nikolai Yu.
38 Borodin, Alexei
35 Ragoucy, Eric
30 Morozov, Alexei Yurievich
29 Varchenko, Alexander Nikolaevich
28 Jing, Naihuan
27 Cattaneo, Alberto Sergio
27 Mukhin, Evgeny
26 Nepomechie, Rafael I.
24 Mironov, Andrei D.
23 Derkachëv, Sergeĭ Èduardovich
23 Kauffman, Louis Hirsch
23 Majid, Shahn
23 Molev, Alexander I.
23 Pakuliak, Stanislav Z.
23 Yang, Wenli
22 Jimbo, Michio
22 Kuniba, Atsuo
22 Petrov, Leonid
21 Geer, Nathan
21 Kirillov, Anatol N.
21 Mudrov, Andrey I.
21 Okado, Masato
21 Tarasov, Vitaly Olegovich
20 Andersen, Jørgen Ellegaard
20 Di Francesco, Philippe
20 Feĭgin, Boris L’vovich
20 Gould, Mark D.
20 Runkel, Ingo
20 Zhang, Yaozhong
19 Morozov, Andreĭ Alekseevich
19 Patureau-Mirand, Bertrand
18 Gorin, Vadim
18 Zhang, Ruibin
17 Chari, Vyjayanthi
17 Frappat, Luc
17 Hernandez, David
17 Shi, Kangjie
16 Cao, Junpeng
16 Crampé, Nicolas
16 Frenkel, Edward V.
16 Hu, Naihong
16 Kedem, Rinat
16 Scrimshaw, Travis
16 Young, Charles A. S.
15 Etingof, Pavel Il’ich
15 Kulish, Petr Petrovich
15 Yamazaki, Masahito
15 Zinn-Justin, Paul
14 Bazhanov, Vladimir V.
14 Corwin, Ivan Z.
14 Kashiwara, Masaki
14 Khoroshkin, Sergey M.
14 Le, Thang Tu Quoc
14 Miwa, Tetsuji
14 Oh, Se-jin
14 Schomerus, Volker
14 Tsuboi, Zengo
14 Zabrodin, Anton V.
13 Adler, Mark
13 Bogolyubov, Nikolaĭ Mikhaĭlovich
13 Doikou, Anastasia
13 Gukov, Sergei
13 Gurevich, Dmitrii
13 Nekrasov, Nikita Alexandrovich
13 van Moerbeke, Pierre
12 Hou, Boyu
12 Isaev, Alekseĭ Petrovich
12 Johansson, Kurt
12 Kimura, Taro
12 Kirschner, Roland
12 Li, Guangliang
12 Mnëv, Pavel
12 Schilling, Anne
12 Schweigert, Christoph
12 Wheeler, Michael
12 Zeitlin, Anton M.
11 Arutyunov, Gleb Eduardovich
11 Costantino, Francesco
11 Fehér, László Gy.
11 Foda, Omar
11 Gainutdinov, Azat M.
11 Pronko, Andrei G.
11 Ramadevi, Pichai
11 Rozansky, Lev
11 Sakamoto, Reiho
11 Slavnov, Nikita A.
11 Stokman, Jasper V.
11 Tsymbaliuk, Oleksandr
11 Vicedo, Benoît
10 Aggarwal, Amol
10 Andruskiewitsch, Nicolás
10 Bufetov, Alekseĭ Igor’evich
10 Frahm, Holger
10 Frassek, Rouven
10 Frenkel, Igor B.
10 Garoufalidis, Stavros
10 Greenstein, Jacob
10 Jurčo, Branislav
10 Karakhanyan, David
...and 2,635 more Authors
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Cited in 231 Serials

368 Communications in Mathematical Physics
245 Journal of High Energy Physics
218 Journal of Mathematical Physics
216 Nuclear Physics. B
194 Letters in Mathematical Physics
127 Advances in Mathematics
124 Journal of Algebra
102 Journal of Geometry and Physics
94 Journal of Physics A: Mathematical and Theoretical
87 Theoretical and Mathematical Physics
80 Journal of Knot Theory and its Ramifications
58 Journal of Statistical Mechanics: Theory and Experiment
55 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
49 Selecta Mathematica. New Series
48 Duke Mathematical Journal
45 Journal of Pure and Applied Algebra
41 Transactions of the American Mathematical Society
40 Journal of Mathematical Sciences (New York)
36 Communications in Algebra
36 Journal of Statistical Physics
36 Annales Henri Poincaré
34 International Journal of Modern Physics A
33 Algebraic & Geometric Topology
28 Quantum Topology
27 Journal of Algebraic Combinatorics
26 Algebras and Representation Theory
23 Publications of the Research Institute for Mathematical Sciences, Kyoto University
22 Inventiones Mathematicae
22 Journal of Soviet Mathematics
22 Probability Theory and Related Fields
22 Geometry & Topology
21 Topology and its Applications
20 Transformation Groups
19 Reviews in Mathematical Physics
17 Mathematical Proceedings of the Cambridge Philosophical Society
17 Proceedings of the American Mathematical Society
16 Compositio Mathematica
15 Physics Letters. B
15 Mathematische Zeitschrift
15 Representation Theory
14 Journal of Combinatorial Theory. Series A
14 Journal of the American Mathematical Society
14 International Journal of Mathematics
14 St. Petersburg Mathematical Journal
13 The Annals of Probability
12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
12 Communications in Contemporary Mathematics
11 Bulletin of the American Mathematical Society. New Series
10 International Journal of Theoretical Physics
10 Advances in Applied Mathematics
10 Czechoslovak Journal of Physics
9 Israel Journal of Mathematics
9 Reports on Mathematical Physics
9 Functional Analysis and its Applications
9 Journal of the London Mathematical Society. Second Series
9 Journal für die Reine und Angewandte Mathematik
9 Séminaire Lotharingien de Combinatoire
8 Chaos, Solitons and Fractals
8 Annales de l’Institut Fourier
8 Memoirs of the American Mathematical Society
8 Proceedings of the London Mathematical Society. Third Series
8 The Electronic Journal of Combinatorics
8 Journal of the European Mathematical Society (JEMS)
8 Journal of Algebra and its Applications
8 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
7 Communications on Pure and Applied Mathematics
7 Mathematische Annalen
7 European Journal of Combinatorics
7 Acta Applicandae Mathematicae
7 Physica D
7 Acta Mathematica Sinica. English Series
7 International Journal of Geometric Methods in Modern Physics
6 Modern Physics Letters A
6 Discrete Mathematics
6 Journal of Functional Analysis
6 Proceedings of the Japan Academy. Series A
6 Tôhoku Mathematical Journal. Second Series
6 Electronic Journal of Probability
6 Mathematical Physics, Analysis and Geometry
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Oberwolfach Reports
6 Journal of Noncommutative Geometry
5 International Journal of Modern Physics B
5 General Relativity and Gravitation
5 Publications Mathématiques
5 Advances in Mathematical Physics
5 Science China. Mathematics
5 Random Matrices: Theory and Applications
5 Forum of Mathematics, Sigma
5 Winter Braids Lecture Notes
4 Nonlinearity
4 Physics Letters. A
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal of Computational and Applied Mathematics
4 Osaka Journal of Mathematics
4 Chinese Annals of Mathematics. Series B
4 The Annals of Applied Probability
4 Geometric and Functional Analysis. GAFA
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Nuclear Physics. B. Proceedings Supplements
...and 131 more Serials
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Cited in 58 Fields

1,671 Quantum theory (81-XX)
1,381 Nonassociative rings and algebras (17-XX)
689 Statistical mechanics, structure of matter (82-XX)
677 Associative rings and algebras (16-XX)
608 Manifolds and cell complexes (57-XX)
318 Combinatorics (05-XX)
270 Algebraic geometry (14-XX)
224 Group theory and generalizations (20-XX)
218 Category theory; homological algebra (18-XX)
206 Global analysis, analysis on manifolds (58-XX)
204 Differential geometry (53-XX)
196 Dynamical systems and ergodic theory (37-XX)
195 Probability theory and stochastic processes (60-XX)
146 Special functions (33-XX)
134 Relativity and gravitational theory (83-XX)
128 Partial differential equations (35-XX)
125 Functional analysis (46-XX)
112 Topological groups, Lie groups (22-XX)
71 Linear and multilinear algebra; matrix theory (15-XX)
70 Mechanics of particles and systems (70-XX)
65 Commutative algebra (13-XX)
64 Number theory (11-XX)
57 Several complex variables and analytic spaces (32-XX)
43 Difference and functional equations (39-XX)
33 Algebraic topology (55-XX)
32 Ordinary differential equations (34-XX)
22 \(K\)-theory (19-XX)
22 Convex and discrete geometry (52-XX)
18 Numerical analysis (65-XX)
17 Functions of a complex variable (30-XX)
17 Operator theory (47-XX)
17 Computer science (68-XX)
12 General and overarching topics; collections (00-XX)
12 Geometry (51-XX)
12 Statistics (62-XX)
11 History and biography (01-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Abstract harmonic analysis (43-XX)
8 Approximations and expansions (41-XX)
8 Information and communication theory, circuits (94-XX)
7 Integral equations (45-XX)
5 General algebraic systems (08-XX)
5 Field theory and polynomials (12-XX)
3 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Real functions (26-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Operations research, mathematical programming (90-XX)
2 Sequences, series, summability (40-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Integral transforms, operational calculus (44-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)

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