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Kuniba, Atsuo

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Author ID: kuniba.atsuo Recent zbMATH articles by "Kuniba, Atsuo"
Published as: Kuniba, Atsuo; Kuniba, A.
Documents Indexed: 106 Publications since 1987, including 2 Books

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 1,088 times in 553 Documents Cited by Year
Remarks on fermionic formula. Zbl 1032.81015
Hatayama, G.; Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y.
83
1999
Paths, crystals and fermionic formulae. Zbl 1016.17011
Hatayama, Goro; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro; Tsuboi, Zengo
74
2002
Functional relations in solvable lattice models. I: Functional relations and representation theory. Zbl 0985.82501
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
74
1994
\(T\)-systems and \(Y\)-systems in integrable systems. Zbl 1222.82041
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
64
2011
Exactly solvable SOS models. Local height probabilities and theta function identities. Zbl 0679.17010
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
56
1987
Exactly solvable SOS models. II: Proof of the star-triangle relation and combinatorial identities. Zbl 0679.17011
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
43
1988
Analytic Bethe ansatz for fundamental representations of Yangians. Zbl 0834.58045
Kuniba, Atsuo; Suzuki, Junji
30
1995
The \(A_ n^{(1)}\) face models. Zbl 0667.17008
Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
30
1988
Spectra in conformal field theories from the Rogers dilogarithm. Zbl 1021.81842
Kuniba, A.; Nakanishi, T.
27
1992
The \(A^{(1)}_M\) automata related to crystals of symmetric tensors. Zbl 1032.17021
Hatayama, G.; Hikami, K.; Inoue, R.; Kuniba, A.; Takagi, T.; Tokihiro, T.
25
2001
One-dimensional configuration sums in vertex models and affine Lie algebra characters. Zbl 0681.17016
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
23
1989
Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. I: Type \(B_r\). Zbl 1273.13041
Inoue, Rei; Iyama, Osamu; Keller, Bernhard; Kuniba, Atsuo; Nakanishi, Tomoki
23
2013
Characters in conformal field theories from thermodynamic Bethe ansatz. Zbl 1021.81843
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
19
1993
Quantum Jacobi-Trudi and Giambelli formulae for \(U_ q(B_ r^{(1)})\) from the analytic Bethe ansatz. Zbl 0871.17015
Kuniba, Atsuo; Ohta, Yasuhiro; Suzuki, Junji
19
1995
Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry. Zbl 1248.37002
Inoue, Rei; Kuniba, Atsuo; Takagi, Taichiro
19
2012
Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\). Zbl 1349.81115
Kuniba, A.; Mangazeev, V. V.; Maruyama, S.; Okado, M.
18
2016
Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. Zbl 1109.81043
Kuniba, Atsuo; Okado, Masato; Sakamoto, Reiho; Takagi, Taichiro; Yamada, Yasuhiko
17
2006
Character formulae of \(\widehat{\text{sl}}_n\)-modules and inhomogeneous paths. Zbl 0952.17013
Hatayama, Goro; Kirillov, Anatol N.; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
17
1999
Soliton cellular automata associated with crystal bases. Zbl 1024.82017
Hatayama, Goro; Kuniba, Atsuo; Takagi, Taichiro
17
2000
Crystals for Demazure modules of classical affine Lie algebras. Zbl 0974.17028
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Takagi, Taichiro; Uchiyama, Jun
17
1998
Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. II: Types \(C_r, F_4\), and \(G_2\). Zbl 1283.13021
Inoue, Rei; Iyama, Osamu; Keller, Bernhard; Kuniba, Atsuo; Nakanishi, Tomoki
16
2013
Periodicities of \(T\)-systems and \(Y\)-systems. Zbl 1250.17024
Inoue, Rei; Iyama, Osamu; Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
16
2010
Tau functions in combinatorial Bethe ansatz. Zbl 1206.82032
Kuniba, Atsuo; Sakamoto, Reiho; Yamada, Yasuhiko
13
2007
Scattering rules in soliton cellular automata associated with crystal bases. Zbl 1032.81019
Hatayama, G.; Kuniba, A.; Okada, M.; Takagi, T.; Yamada, Y.
12
2002
Tetrahedron equation and generalized quantum groups. Zbl 1394.16043
Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey
11
2015
Temperley-Lieb lattice models arising from quantum groups. Zbl 0735.17032
Batchelor, M. T.; Kuniba, A.
11
1991
Functional relations in solvable lattice models. II: Applications. Zbl 0985.82502
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
11
1994
Tetrahedron and 3D reflection equations from quantized algebra of functions. Zbl 1258.81055
Kuniba, Atsuo; Okado, Masato
11
2012
Demazure modules and perfect crystals. Zbl 0908.17009
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Uchiyama, Jun
10
1998
Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\). Zbl 1278.81149
Kuniba, Atsuo; Sergeev, Sergey
9
2013
The canonical solutions of the \(Q\)-systems and the Kirillov-Reshetikhin conjecture. Zbl 1065.81071
Kuniba, Atsuo; Nakanishi, Tomoki; Tsuboi, Zengo
9
2002
Skew Young diagram method in spectral decomposition of integrable lattice models. Zbl 0887.17008
Kirillov, Anatol N.; Kuniba, Atsuo; Nakanishi, Tomoki
9
1997
Paths, Maya diagrams and representations of \(\widehat{\mathfrak{sl}}(r,\mathbb{C})\). Zbl 0704.17013
Date, Etsuro; Jimbo, Michio; Kuniba, Atsuo; Miwa, Tetsuji; Okado, Masato
9
1989
Continued fraction TBA and functional relations in \(XXZ\) model at root of unity. Zbl 1047.82514
Kuniba, Atsuo; Sakai, Kazumitsu; Suzuki, Junji
9
1998
Multispecies TASEP and the tetrahedron equation. Zbl 1342.82108
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
9
2016
Functional relations and analytic Bethe ansatz for twisted quantum affine algebras. Zbl 0855.17023
Kuniba, Atsuo; Suzuki, Junji
8
1995
Characters of Demazure modules and solvable lattice models. Zbl 0953.17007
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Takagi, Taichiro; Uchiyama, Jun
8
1998
Spectrum of a multi-species asymmetric simple exclusion process on a ring. Zbl 1179.82092
Arita, Chikashi; Kuniba, Atsuo; Sakai, Kazumitsu; Sawabe, Tsuyoshi
8
2009
A common structure in PBW bases of the nilpotent subalgebra of \(U_q(\mathfrak g)\) and quantized algebra of functions. Zbl 1305.17013
Kuniba, Atsuo; Okado, Masato; Yamada, Yasuhiko
7
2013
Box-ball system with reflecting end. Zbl 1090.37008
Kuniba, Atsuo; Okado, Masato; Yamada, Yasuhiko
7
2005
Paths, Demazure crystals, and symmetric functions. Zbl 0971.17006
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Takagi, Taichiro; Uchiyama, Jun
7
2000
Geometric crystal and tropical \(R\) for \(D_n^{(1)}\). Zbl 1052.17005
Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y.
7
2003
Quantum R matrix for \(G_ 2\) and a solvable 175-vertex model. Zbl 0715.17018
Kuniba, Atsuo
7
1990
Pfaffian and determinant solutions to a discretized Toda equation for \(B_r\), \(C_r\) and \(D_r\). Zbl 0914.39001
Kuniba, Atsuo; Nakamura, Shuichi; Hirota, Ryogo
7
1996
Inhomogeneous generalization of a multispecies totally asymmetric zero range process. Zbl 1348.82056
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
7
2016
Matrix product formula for \(U_{q}(A_{2}^{(1)})\) -zero range process. Zbl 1357.81122
Kuniba, Atsuo; Okado, Masato
7
2017
Finite crystals and paths. Zbl 1008.17009
Hatayama, Goro; Koga, Yoshiyuki; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
6
2000
Combinatorial \(R\) matrices for a family of crystals: \(C_n^{(1)}\) and \(A_{2n-1}^{(2)}\) cases. Zbl 0976.17009
Hatayama, Goro; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
6
2000
Combinatorial \(R\) matrices for a family of crystals: \(B_n^{(1)}\), \(D_n^{(1)}\), \(A_{2n}^{(2)}\) and \(D_{n+1}^{(2)}\) cases. Zbl 1020.17010
Hatayama, Goro; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
6
2002
Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\). Zbl 1308.81113
Kuniba, Atsuo; Okado, Masato
6
2015
Factorization, reduction and embedding in integrable cellular automata. Zbl 1088.81063
Kuniba, Atsuo; Takagi, Taichiro; Takenouchi, Akira
5
2004
A new realization of the basic representation of \(A_ n^{(1)}\). Zbl 0679.17012
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
5
1989
The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. II: The \(X_n\) case. Zbl 1052.17006
Kuniba, Atsuo; Nakanishi, Tomoki
5
2002
The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. I: The \(\mathfrak{sl}(2)\) case. Zbl 0990.82009
Kuniba, Atsuo; Nakanishi, Tomoki
5
2000
Path space realization of the basic representation of \(A^{(1)}_ n\). Zbl 0744.17030
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
5
1989
Difference \(L\) operators related to \(q\)-characters. Zbl 1012.17009
Kuniba, A.; Okado, M.; Suzuki, J.; Yamada, Y.
5
2002
Solutions of a discretized Toda field equation for \(D_r\) from analytic Bethe ansatz. Zbl 0905.17044
Tsuboi, Zengo; Kuniba, Atsuo
5
1996
Simple algorithm for factorized dynamics of the \({\mathfrak g}_n\)-automaton. Zbl 1001.37010
Hatayama, Goro; Kuniba, Atsuo; Takagi, Taichiro
5
2001
Local state probabilities for solvable restricted solid-on-solid models: \(A_ n,\;D_ n,\;D^{(1)}_ n,\) and \(A^{(1)}_ n\). Zbl 1084.82520
Kuniba, Atsuo; Yajima, Tetsu
5
1988
Skew Young diagram method in spectral decomposition of integrable lattice models. II: Higher levels. Zbl 1033.17018
Kirillov, Anatol N.; Kuniba, Atsuo; Nakanishi, Tomoki
5
1998
Matrix product solutions to the reflection equation from three dimensional integrability. Zbl 1395.81132
Kuniba, Atsuo; Pasquier, Vincent
5
2018
Bethe ansatz and inverse scattering transform in a periodic box-ball system. Zbl 1178.82030
Kuniba, A.; Takagi, T.; Takenouchi, A.
4
2006
Multispecies TASEP and combinatorial \(R\). Zbl 1326.60139
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
4
2015
Local state probabilities for an infinite sequence of solvable lattice models. Zbl 0641.10013
Kuniba, Atsuo; Yajima, Tetsu
4
1988
Multispecies totally asymmetric zero range process. I. Multiline process and combinatorial \(R\). Zbl 1400.37096
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
4
2016
Multispecies totally asymmetric zero range process. II. Hat relation and tetrahedron equation. Zbl 1400.37090
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
4
2016
A \(q\)-boson representation of Zamolodchikov-Faddeev algebra for stochastic \(R\) matrix of \(U_q(A^{(1)}_n)\). Zbl 1369.16033
Kuniba, Atsuo; Okado, Masato
3
2017
Factorization of combinatorial \(R\) matrices and associated cellular automata. Zbl 1041.81065
Hatayama, Goro; Kuniba, Atsuo; Takagi, Taichiro
3
2001
A quantization of box-ball systems. Zbl 1088.81061
Inoue, R.; Kuniba, A.; Okado, M.
3
2004
Generalized energies and integrable \(D_n^{(1)}\) cellular automaton. Zbl 1231.81054
Kuniba, Atsuo; Sakamoto, Reiho; Yamada, Yasuhiko
3
2011
Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz. Zbl 1402.82019
Kuniba, Atsuo; Lyu, Hanbaek; Okado, Masato
3
2018
Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\). Zbl 1440.17011
Kuniba, Atsuo; Okado, Masato; Yoneyama, Akihito
3
2019
\(T\)-systems and \(Y\)-systems for quantum affinizations of quantum Kac-Moody algebras. Zbl 1201.17009
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
3
2009
Bethe ansatz at \(q = 0\) and periodic box–ball systems. Zbl 1089.82008
Kuniba, Atsuo; Takenouchi, Akira
2
2006
Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics. Zbl 1118.37014
Kuniba, Atsuo; Sakamoto, Reiho
2
2007
A solution of the 3D reflection equation from quantized algebra of functions of type \(B\). Zbl 1296.81036
Kuniba, Atsuo; Okado, Masato
2
2013
Free energies and critical exponents of the \(A_1^{(1)},B_n^{(1)}, C_n^{(1)}\) and \(D_n^{(1)}\) face models. Zbl 1057.82507
Batchelor, M. T.; Fridkin, V.; Kuniba, Atsuo; Sakai, Katzumitsu; Zhou, Y.-K.
2
1997
Level-rank duality in fusion RSOS models. Zbl 0748.17031
Kuniba, Atsuo; Nakanishi, Tomoki
2
1991
Tropical \(R\) and tau functions. Zbl 1085.17017
Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y.
2
2004
Large deviations and one-sided scaling limit of randomized multicolor box-ball system. Zbl 1437.37016
Kuniba, Atsuo; Lyu, Hanbaek
2
2020
Density and current profiles in \(\operatorname{U}_q(A_2^{(1)})\) zero range process. Zbl 1373.81244
Kuniba, A.; Mangazeev, V. V.
2
2017
Periodic cellular automata and Bethe ansatz. Zbl 1117.37007
Kuniba, Atsuo; Takenouchi, Akira
1
2006
Tetrahedron equation and quantum \(R\) matrices for infinite-dimensional modules of \(\mathrm{U}_q(A^{(1)}_1)\) and \(\mathrm{U}_q (A^{(2)}_2)\). Zbl 1280.81072
Kuniba, Atsuo; Okado, Masato
1
2013
Analytic Bethe ansatz and \(T\)-system in \(C_ 2^{(1)}\) vertex models. Zbl 0841.60084
Kuniba, A.
1
1994
The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. III: The \(X_ N^{(r)}\) case. Zbl 1052.17007
Kuniba, Atsuo; Nakanishi, Tomoki; Tsuboi, Zengo
1
2002
Quantum Jacobi Trudi formula and analytic Bethe ansatz. Zbl 1043.82513
Kuniba, Atsuo
1
1996
Matrix product solutions to the \(G_2\) reflection equation. Zbl 1397.37084
Kuniba, Atsuo
1
2018
Remarks on \( A^{(1)}_n\) face weights. Zbl 1419.82015
Kuniba, Atsuo
1
2019
Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations mixing particles and holes. Zbl 1395.81127
Kuniba, Atsuo
1
2018
Bethe ansatz, inverse scattering transform and tropical Riemann theta function in a periodic soliton cellular automaton for \(An^{(1)}\). Zbl 1187.82036
Kuniba, Atsuo; Takagi, Taichiro
1
2010
Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\). Zbl 1310.17014
Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey
1
2015
A polynomial formula for the solution of 3D reflection equation. Zbl 1310.81080
Kuniba, Atsuo; Maruyama, Shouya
1
2015
Combinatorial Yang-Baxter maps arising from the tetrahedron equation. Zbl 1355.81097
Kuniba, A.
1
2016
Large deviations and one-sided scaling limit of randomized multicolor box-ball system. Zbl 1437.37016
Kuniba, Atsuo; Lyu, Hanbaek
2
2020
Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\). Zbl 1440.17011
Kuniba, Atsuo; Okado, Masato; Yoneyama, Akihito
3
2019
Remarks on \( A^{(1)}_n\) face weights. Zbl 1419.82015
Kuniba, Atsuo
1
2019
Matrix product solutions to the reflection equation from three dimensional integrability. Zbl 1395.81132
Kuniba, Atsuo; Pasquier, Vincent
5
2018
Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz. Zbl 1402.82019
Kuniba, Atsuo; Lyu, Hanbaek; Okado, Masato
3
2018
Matrix product solutions to the \(G_2\) reflection equation. Zbl 1397.37084
Kuniba, Atsuo
1
2018
Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations mixing particles and holes. Zbl 1395.81127
Kuniba, Atsuo
1
2018
Matrix product formula for \(U_{q}(A_{2}^{(1)})\) -zero range process. Zbl 1357.81122
Kuniba, Atsuo; Okado, Masato
7
2017
A \(q\)-boson representation of Zamolodchikov-Faddeev algebra for stochastic \(R\) matrix of \(U_q(A^{(1)}_n)\). Zbl 1369.16033
Kuniba, Atsuo; Okado, Masato
3
2017
Density and current profiles in \(\operatorname{U}_q(A_2^{(1)})\) zero range process. Zbl 1373.81244
Kuniba, A.; Mangazeev, V. V.
2
2017
Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\). Zbl 1349.81115
Kuniba, A.; Mangazeev, V. V.; Maruyama, S.; Okado, M.
18
2016
Multispecies TASEP and the tetrahedron equation. Zbl 1342.82108
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
9
2016
Inhomogeneous generalization of a multispecies totally asymmetric zero range process. Zbl 1348.82056
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
7
2016
Multispecies totally asymmetric zero range process. I. Multiline process and combinatorial \(R\). Zbl 1400.37096
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
4
2016
Multispecies totally asymmetric zero range process. II. Hat relation and tetrahedron equation. Zbl 1400.37090
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
4
2016
Combinatorial Yang-Baxter maps arising from the tetrahedron equation. Zbl 1355.81097
Kuniba, A.
1
2016
Tetrahedron equation and generalized quantum groups. Zbl 1394.16043
Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey
11
2015
Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\). Zbl 1308.81113
Kuniba, Atsuo; Okado, Masato
6
2015
Multispecies TASEP and combinatorial \(R\). Zbl 1326.60139
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato
4
2015
Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\). Zbl 1310.17014
Kuniba, Atsuo; Okado, Masato; Sergeev, Sergey
1
2015
A polynomial formula for the solution of 3D reflection equation. Zbl 1310.81080
Kuniba, Atsuo; Maruyama, Shouya
1
2015
Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. I: Type \(B_r\). Zbl 1273.13041
Inoue, Rei; Iyama, Osamu; Keller, Bernhard; Kuniba, Atsuo; Nakanishi, Tomoki
23
2013
Periodicities of T-systems and Y-systems, dilogarithm identities, and cluster algebras. II: Types \(C_r, F_4\), and \(G_2\). Zbl 1283.13021
Inoue, Rei; Iyama, Osamu; Keller, Bernhard; Kuniba, Atsuo; Nakanishi, Tomoki
16
2013
Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\). Zbl 1278.81149
Kuniba, Atsuo; Sergeev, Sergey
9
2013
A common structure in PBW bases of the nilpotent subalgebra of \(U_q(\mathfrak g)\) and quantized algebra of functions. Zbl 1305.17013
Kuniba, Atsuo; Okado, Masato; Yamada, Yasuhiko
7
2013
A solution of the 3D reflection equation from quantized algebra of functions of type \(B\). Zbl 1296.81036
Kuniba, Atsuo; Okado, Masato
2
2013
Tetrahedron equation and quantum \(R\) matrices for infinite-dimensional modules of \(\mathrm{U}_q(A^{(1)}_1)\) and \(\mathrm{U}_q (A^{(2)}_2)\). Zbl 1280.81072
Kuniba, Atsuo; Okado, Masato
1
2013
Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry. Zbl 1248.37002
Inoue, Rei; Kuniba, Atsuo; Takagi, Taichiro
19
2012
Tetrahedron and 3D reflection equations from quantized algebra of functions. Zbl 1258.81055
Kuniba, Atsuo; Okado, Masato
11
2012
\(T\)-systems and \(Y\)-systems in integrable systems. Zbl 1222.82041
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
64
2011
Generalized energies and integrable \(D_n^{(1)}\) cellular automaton. Zbl 1231.81054
Kuniba, Atsuo; Sakamoto, Reiho; Yamada, Yasuhiko
3
2011
Periodicities of \(T\)-systems and \(Y\)-systems. Zbl 1250.17024
Inoue, Rei; Iyama, Osamu; Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
16
2010
Bethe ansatz, inverse scattering transform and tropical Riemann theta function in a periodic soliton cellular automaton for \(An^{(1)}\). Zbl 1187.82036
Kuniba, Atsuo; Takagi, Taichiro
1
2010
Spectrum of a multi-species asymmetric simple exclusion process on a ring. Zbl 1179.82092
Arita, Chikashi; Kuniba, Atsuo; Sakai, Kazumitsu; Sawabe, Tsuyoshi
8
2009
\(T\)-systems and \(Y\)-systems for quantum affinizations of quantum Kac-Moody algebras. Zbl 1201.17009
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
3
2009
Tau functions in combinatorial Bethe ansatz. Zbl 1206.82032
Kuniba, Atsuo; Sakamoto, Reiho; Yamada, Yasuhiko
13
2007
Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics. Zbl 1118.37014
Kuniba, Atsuo; Sakamoto, Reiho
2
2007
Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. Zbl 1109.81043
Kuniba, Atsuo; Okado, Masato; Sakamoto, Reiho; Takagi, Taichiro; Yamada, Yasuhiko
17
2006
Bethe ansatz and inverse scattering transform in a periodic box-ball system. Zbl 1178.82030
Kuniba, A.; Takagi, T.; Takenouchi, A.
4
2006
Bethe ansatz at \(q = 0\) and periodic box–ball systems. Zbl 1089.82008
Kuniba, Atsuo; Takenouchi, Akira
2
2006
Periodic cellular automata and Bethe ansatz. Zbl 1117.37007
Kuniba, Atsuo; Takenouchi, Akira
1
2006
Box-ball system with reflecting end. Zbl 1090.37008
Kuniba, Atsuo; Okado, Masato; Yamada, Yasuhiko
7
2005
Factorization, reduction and embedding in integrable cellular automata. Zbl 1088.81063
Kuniba, Atsuo; Takagi, Taichiro; Takenouchi, Akira
5
2004
A quantization of box-ball systems. Zbl 1088.81061
Inoue, R.; Kuniba, A.; Okado, M.
3
2004
Tropical \(R\) and tau functions. Zbl 1085.17017
Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y.
2
2004
Geometric crystal and tropical \(R\) for \(D_n^{(1)}\). Zbl 1052.17005
Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y.
7
2003
Paths, crystals and fermionic formulae. Zbl 1016.17011
Hatayama, Goro; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro; Tsuboi, Zengo
74
2002
Scattering rules in soliton cellular automata associated with crystal bases. Zbl 1032.81019
Hatayama, G.; Kuniba, A.; Okada, M.; Takagi, T.; Yamada, Y.
12
2002
The canonical solutions of the \(Q\)-systems and the Kirillov-Reshetikhin conjecture. Zbl 1065.81071
Kuniba, Atsuo; Nakanishi, Tomoki; Tsuboi, Zengo
9
2002
Combinatorial \(R\) matrices for a family of crystals: \(B_n^{(1)}\), \(D_n^{(1)}\), \(A_{2n}^{(2)}\) and \(D_{n+1}^{(2)}\) cases. Zbl 1020.17010
Hatayama, Goro; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
6
2002
The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. II: The \(X_n\) case. Zbl 1052.17006
Kuniba, Atsuo; Nakanishi, Tomoki
5
2002
Difference \(L\) operators related to \(q\)-characters. Zbl 1012.17009
Kuniba, A.; Okado, M.; Suzuki, J.; Yamada, Y.
5
2002
The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. III: The \(X_ N^{(r)}\) case. Zbl 1052.17007
Kuniba, Atsuo; Nakanishi, Tomoki; Tsuboi, Zengo
1
2002
The \(A^{(1)}_M\) automata related to crystals of symmetric tensors. Zbl 1032.17021
Hatayama, G.; Hikami, K.; Inoue, R.; Kuniba, A.; Takagi, T.; Tokihiro, T.
25
2001
Simple algorithm for factorized dynamics of the \({\mathfrak g}_n\)-automaton. Zbl 1001.37010
Hatayama, Goro; Kuniba, Atsuo; Takagi, Taichiro
5
2001
Factorization of combinatorial \(R\) matrices and associated cellular automata. Zbl 1041.81065
Hatayama, Goro; Kuniba, Atsuo; Takagi, Taichiro
3
2001
Soliton cellular automata associated with crystal bases. Zbl 1024.82017
Hatayama, Goro; Kuniba, Atsuo; Takagi, Taichiro
17
2000
Paths, Demazure crystals, and symmetric functions. Zbl 0971.17006
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Takagi, Taichiro; Uchiyama, Jun
7
2000
Finite crystals and paths. Zbl 1008.17009
Hatayama, Goro; Koga, Yoshiyuki; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
6
2000
Combinatorial \(R\) matrices for a family of crystals: \(C_n^{(1)}\) and \(A_{2n-1}^{(2)}\) cases. Zbl 0976.17009
Hatayama, Goro; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
6
2000
The Bethe equation at \(q=0\), the Möbius inversion formula, and weight multiplicities. I: The \(\mathfrak{sl}(2)\) case. Zbl 0990.82009
Kuniba, Atsuo; Nakanishi, Tomoki
5
2000
Remarks on fermionic formula. Zbl 1032.81015
Hatayama, G.; Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y.
83
1999
Character formulae of \(\widehat{\text{sl}}_n\)-modules and inhomogeneous paths. Zbl 0952.17013
Hatayama, Goro; Kirillov, Anatol N.; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro
17
1999
Crystals for Demazure modules of classical affine Lie algebras. Zbl 0974.17028
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Takagi, Taichiro; Uchiyama, Jun
17
1998
Demazure modules and perfect crystals. Zbl 0908.17009
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Uchiyama, Jun
10
1998
Continued fraction TBA and functional relations in \(XXZ\) model at root of unity. Zbl 1047.82514
Kuniba, Atsuo; Sakai, Kazumitsu; Suzuki, Junji
9
1998
Characters of Demazure modules and solvable lattice models. Zbl 0953.17007
Kuniba, Atsuo; Misra, Kailash C.; Okado, Masato; Takagi, Taichiro; Uchiyama, Jun
8
1998
Skew Young diagram method in spectral decomposition of integrable lattice models. II: Higher levels. Zbl 1033.17018
Kirillov, Anatol N.; Kuniba, Atsuo; Nakanishi, Tomoki
5
1998
Skew Young diagram method in spectral decomposition of integrable lattice models. Zbl 0887.17008
Kirillov, Anatol N.; Kuniba, Atsuo; Nakanishi, Tomoki
9
1997
Free energies and critical exponents of the \(A_1^{(1)},B_n^{(1)}, C_n^{(1)}\) and \(D_n^{(1)}\) face models. Zbl 1057.82507
Batchelor, M. T.; Fridkin, V.; Kuniba, Atsuo; Sakai, Katzumitsu; Zhou, Y.-K.
2
1997
Pfaffian and determinant solutions to a discretized Toda equation for \(B_r\), \(C_r\) and \(D_r\). Zbl 0914.39001
Kuniba, Atsuo; Nakamura, Shuichi; Hirota, Ryogo
7
1996
Solutions of a discretized Toda field equation for \(D_r\) from analytic Bethe ansatz. Zbl 0905.17044
Tsuboi, Zengo; Kuniba, Atsuo
5
1996
Quantum Jacobi Trudi formula and analytic Bethe ansatz. Zbl 1043.82513
Kuniba, Atsuo
1
1996
Analytic Bethe ansatz for fundamental representations of Yangians. Zbl 0834.58045
Kuniba, Atsuo; Suzuki, Junji
30
1995
Quantum Jacobi-Trudi and Giambelli formulae for \(U_ q(B_ r^{(1)})\) from the analytic Bethe ansatz. Zbl 0871.17015
Kuniba, Atsuo; Ohta, Yasuhiro; Suzuki, Junji
19
1995
Functional relations and analytic Bethe ansatz for twisted quantum affine algebras. Zbl 0855.17023
Kuniba, Atsuo; Suzuki, Junji
8
1995
Functional relations in solvable lattice models. I: Functional relations and representation theory. Zbl 0985.82501
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
74
1994
Functional relations in solvable lattice models. II: Applications. Zbl 0985.82502
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
11
1994
Analytic Bethe ansatz and \(T\)-system in \(C_ 2^{(1)}\) vertex models. Zbl 0841.60084
Kuniba, A.
1
1994
Characters in conformal field theories from thermodynamic Bethe ansatz. Zbl 1021.81843
Kuniba, Atsuo; Nakanishi, Tomoki; Suzuki, Junji
19
1993
Spectra in conformal field theories from the Rogers dilogarithm. Zbl 1021.81842
Kuniba, A.; Nakanishi, T.
27
1992
Temperley-Lieb lattice models arising from quantum groups. Zbl 0735.17032
Batchelor, M. T.; Kuniba, A.
11
1991
Level-rank duality in fusion RSOS models. Zbl 0748.17031
Kuniba, Atsuo; Nakanishi, Tomoki
2
1991
Quantum R matrix for \(G_ 2\) and a solvable 175-vertex model. Zbl 0715.17018
Kuniba, Atsuo
7
1990
One-dimensional configuration sums in vertex models and affine Lie algebra characters. Zbl 0681.17016
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
23
1989
Paths, Maya diagrams and representations of \(\widehat{\mathfrak{sl}}(r,\mathbb{C})\). Zbl 0704.17013
Date, Etsuro; Jimbo, Michio; Kuniba, Atsuo; Miwa, Tetsuji; Okado, Masato
9
1989
A new realization of the basic representation of \(A_ n^{(1)}\). Zbl 0679.17012
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
5
1989
Path space realization of the basic representation of \(A^{(1)}_ n\). Zbl 0744.17030
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
5
1989
Exactly solvable SOS models. II: Proof of the star-triangle relation and combinatorial identities. Zbl 0679.17011
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
43
1988
The \(A_ n^{(1)}\) face models. Zbl 0667.17008
Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
30
1988
Local state probabilities for solvable restricted solid-on-solid models: \(A_ n,\;D_ n,\;D^{(1)}_ n,\) and \(A^{(1)}_ n\). Zbl 1084.82520
Kuniba, Atsuo; Yajima, Tetsu
5
1988
Local state probabilities for an infinite sequence of solvable lattice models. Zbl 0641.10013
Kuniba, Atsuo; Yajima, Tetsu
4
1988
Exactly solvable SOS models. Local height probabilities and theta function identities. Zbl 0679.17010
Date, E.; Jimbo, M.; Kuniba, A.; Miwa, T.; Okado, M.
56
1987
all top 5

Cited by 514 Authors

41 Okado, Masato
40 Kuniba, Atsuo
17 Schilling, Anne
17 Scrimshaw, Travis
13 Jimbo, Michio
12 Miwa, Tetsuji
11 Inoue, Rei
11 Misra, Kailash C.
11 Sakamoto, Reiho
11 Takagi, Taichiro
11 Tsuboi, Zengo
10 Nakanishi, Tomoki
9 Chari, Vyjayanthi
9 Kedem, Rinat
8 Pylyavskyy, Pavlo
8 Shimozono, Mark
8 Tateo, Roberto
7 Di Francesco, Philippe
7 Doliwa, Adam
7 Hernandez, David
7 Pearce, Paul A.
7 Rosengren, Hjalmar
7 Warnaar, S. Ole
6 Feĭgin, Boris L’vovich
6 Foda, Omar
6 Kang, Seok-Jin
6 Kashiwara, Masaki
6 Kazakov, Vladimir A.
6 Kirillov, Anatol N.
6 Lecouvey, Cédric
6 Mathieu, Pierre
6 Mukhin, Evgeny
6 Naoi, Katsuyuki
6 Nepomechie, Rafael I.
6 Zabrodin, Anton V.
5 Derkachëv, Sergeĭ Èduardovich
5 Dorey, Patrick E.
5 Fioravanti, Davide
5 Frenkel, Edward V.
5 Jing, Naihuan
5 Lam, Thomas F.
5 Leclerc, Bernard
5 Lee, Hyeonmi
5 Lenart, Cristian
5 Leurent, Sebastien
5 Nakajima, Hiraku
5 Ragoucy, Eric
5 Salisbury, Ben
5 Spiridonov, Vyacheslav Pavlovich
4 Bazhanov, Vladimir V.
4 Crampé, Nicolas
4 de Leeuw, Marius
4 Fourier, Ghislain
4 Frappat, Luc
4 Gade, R. M.
4 Glick, Max
4 Greenstein, Jacob
4 Hatayama, Goro
4 Konno, Hitoshi
4 Kulish, Petr Petrovich
4 Kus, Deniz
4 Loktev, Sergey A.
4 Mangazeev, Vladimir V.
4 Motegi, Kohei
4 Nakashima, Toshiki
4 Oh, Se-jin
4 Reshetikhin, Nikolai Yu.
4 Schlosser, Michael J.
4 Suzuki, Junji
4 Vanicat, Matthieu
4 Weston, Robert A.
4 Yamada, Yasuhiko
4 Yamazaki, Masahito
3 Aggarwal, Amol
3 Basu-Mallick, Bireswar
3 Borodin, Alexei
3 Bouwknegt, Peter G.
3 Brazhnikov, Vadim A.
3 Bufetov, Alekseĭ Igor’evich
3 Bytsko, Andrei G.
3 Date, Etsuro
3 Deguchi, Tetsuo
3 Doikou, Anastasia
3 Felder, Giovanni
3 Khabibullin, Ismagil Talgatovich
3 Hou, Boyu
3 Iyama, Osamu
3 Keller, Bernhard
3 Khakimova, Aĭgul’ Rinatovna
3 Kousidis, Stavros
3 Kwon, Jae-Hoon
3 Li, Jian Rong
3 Lima-Santos, Antonio
3 Lyakhovskiĭ, Vladimir Dmitrievich
3 Mizuno, Yuma
3 Molev, Alexander I.
3 Morin-Duchesne, Alexi
3 Moura, Adriano A.
3 Nakayashiki, Atsushi
3 Park, Euiyong
...and 414 more Authors
all top 5

Cited in 86 Serials

64 Nuclear Physics. B
52 Communications in Mathematical Physics
35 Journal of Mathematical Physics
33 Letters in Mathematical Physics
32 Journal of Algebra
23 Journal of Statistical Physics
23 Advances in Mathematics
21 Journal of High Energy Physics
20 Journal of Statistical Mechanics: Theory and Experiment
15 Journal of Algebraic Combinatorics
14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Journal of Physics A: Mathematical and Theoretical
12 Journal of Combinatorial Theory. Series A
12 Algebras and Representation Theory
9 Journal of Geometry and Physics
8 Theoretical and Mathematical Physics
8 Transformation Groups
7 International Journal of Modern Physics A
7 Transactions of the American Mathematical Society
6 Duke Mathematical Journal
6 Mathematische Zeitschrift
6 Selecta Mathematica. New Series
6 Representation Theory
5 Nagoya Mathematical Journal
5 Proceedings of the American Mathematical Society
5 Séminaire Lotharingien de Combinatoire
5 Annales Henri Poincaré
4 Journal of the American Mathematical Society
4 Journal of Mathematical Sciences (New York)
3 Reviews in Mathematical Physics
3 The Electronic Journal of Combinatorics
3 Annals of Combinatorics
2 Communications in Algebra
2 Linear and Multilinear Algebra
2 Physics Letters. A
2 Functional Analysis and its Applications
2 Journal of the Mathematical Society of Japan
2 Journal of Pure and Applied Algebra
2 European Journal of Combinatorics
2 Advances in Applied Mathematics
2 Constructive Approximation
2 International Journal of Algebra and Computation
2 St. Petersburg Mathematical Journal
2 Electronic Journal of Probability
2 Physical Review Letters
2 Journal of Nonlinear Mathematical Physics
2 Kyoto Journal of Mathematics
1 International Journal of Modern Physics B
1 Mathematical Notes
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Funkcialaj Ekvacioj. Serio Internacia
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Chinese Annals of Mathematics. Series B
1 International Journal of Mathematics
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Experimental Mathematics
1 Nuclear Physics, B, Proceedings Supplements
1 Algebra Colloquium
1 Documenta Mathematica
1 The Ramanujan Journal
1 Mathematical Physics, Analysis and Geometry
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Quantum Information Processing
1 Analysis and Applications (Singapore)
1 International Journal of Quantum Information
1 Forum of Mathematics, Sigma
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)

Citations by Year