List of publications

• A. Kuniba and M. Okado, Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type $A^{(1)}_{n-1}$, arXiv:1907.10234.

• A. Kuniba, M. Okado and A. Yoneyama, Reflection $K$ matrices associated with an Onsager coideal of $U_p(A^{(1)}_{n-1})$, $U_p(B^{(1)}_n)$, $U_p(D^{(1)}_n)$ and $U_p(D^{(2)}_{n+1})$, arXiv:1904.05653.

• A. Kuniba, M. Okado and A. Yoneyama, Matrix product solution to the reflection equation associated with a coideal subalgebra of $U_q(A^{(1)}_{n-1})$, arXiv:1812.03767.

• A. Kuniba, H. Lyu and M. Okado, Randomized box-ball systems, limit shape of rigged configurations and Thermodynamic Bethe ansatz, arXiv:1808.02626, Nuclear Physics {\bf B937} (2018) 240-271.

• J.-H. Kwon and M. Okado, Kirillov-Reshetikhin modules of generalized quantum group of type A, arXiv:1804.05456, to appear in Publ. RIMS.

• M. Okado, A. Schilling and T. Scrimshaw, Rigged configuration bijection and proof of the $X=M$ conjecture for nonexceptional affine types, arXiv:1707.04876, J. Algebra {\bf 516} (2018), 1-37.

• A. Kuniba, M. Okado and S. Watanabe, Integrable structure of multispecies zero range process, arXiv:1701.07279, SIGMA {\bf 13} (2017), 044, 29 pages.

• A. Kuniba and M. Okado, A $q$-boson representation of Zamolodchikov-Faddeev algebra for stochastic $R$ matrix of $U_q(A^{(1)}_n)$, arXiv:1610.00531, Lett. Math. Phys. {\bf 107} (2017), 1111-1130.

• A. Kuniba and M. Okado, Matrix product formula for $U_q(A^{(1)}_2)$-zero range process, arXiv:1608.02779, J. Phys. A: Math. Theor. {\bf 50}, (2017) 044001 (20pp).

• A. Kuniba, V.V. Mangazeev, S. Maruyama and M. Okado, Stochastic $R$ matrix for $U_q(A_n^{(1)})$, arXiv:1604.08304, Nucl. Phys. {\bf B913} (2016), 248-277.

• M. Okado, R. Sakamoto, A. Schilling and T. Scrimshaw, Type $D_n^{(1)}$ rigged configuration bijection, arXiv:1603.08121, J. Algebr. Comb. {\bf 46} (2017) 341-401.

• A. Kuniba, S. Maruyama and M. Okado, Multispecies totally asymmetric zero range process: II. Hat relation and tetrahedron equation, arXiv:1602.04574, Journal of Integrable Systems (2016) 1(1):xyw008.

• A. Kuniba, S. Maruyama and M. Okado, Inhomogeneous generalization of multispecies totally asymmetric zero range process, arXiv:1602.00764, J. Stat. Phys. {\bf 164} (2016), 952-968.

• A. Kuniba, S. Maruyama and M. Okado, Multispecies totally asymmetric zero range process: I. Multiline process and combinatorial $R$, arXiv:1511.09168, Journal of Integrable Systems (2016) 1(1): xyw002.

• A. Kuniba, S. Maruyama and M. Okado, Multispecies TASEP and the tetrahedron equation, arXiv:1509.09018, J. Phys. A: Math. Theor. {\bf 49}, (2016) 114001 (22pp).

• A. Kuniba, S. Maruyama and M. Okado, Multispecies TASEP and combinatorial $R$, arXiv:1506.04490, J. Phys. A: Math. Theor. {\bf 48}, (2015) 34FT02 (19pp).

• M. Okado, Similarity and Kirillov-Schilling-Shimozono bijection, arXiv:1504.02568, Algebras and Representation Theory {\bf 19}, (2016) 975-989.

• A. Kuniba, M. Okado and S. Sergeev, Tetrahedron equation and generalized quantum groups, arXiv:1503.08536, J. Phys. A: Math. Theor. {\bf 48}, (2015) 304001 (38pp).

• A. Kuniba and M. Okado, Tetrahedron equation and quantum $R$ matrices for $q$-oscillator representations, arXiv:1411.2213, In proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics, (Ghent, Belgium, 14-18 July 2014).

• A. Kuniba, M. Okado and S. Sergeev, Tetrahedron equation and quantum $R$ matrices for modular double of $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n})$ and $U_q(C^{(1)}_{n})$, arXiv:1409.1986, Lett. Math. Phys. {\bf 105} (2015), 447-461.

• A. Kuniba and M. Okado, Tetrahedron equation and quantum $R$ matrices for $q$-oscillator representations of $U_q(A^{(2)}_{2n}), U_q(C^{(1)}_{n})$ and $U_q(D^{(2)}_{n+1})$, arXiv:1311.4258, Commun. Math. Phys. {\bf 334} (2015), 1219-1244.

• A. Kuniba and M. Okado, Tetrahedron equation and quantum $R$ matrices for infinite dimensional modules of $U_q(A_1^{(1)})$ and $U_q(A_2^{(2)})$, arXiv:1308.6473, J. Phys. A: Math. Theor. {\bf 46}, (2013) 485203 (12pp).

• A. Kuniba, M. Okado and Y. Yamada, A common structure in PBW bases of the nilpotent subalgebra of $U_q(g)$ and quantized algebra of functions, arXiv:1302.6298, SIGMA {\bf 9} (2013), 049, 23 pages.

• M. Okado, Simplicity and similarity of Kirillov-Reshetikhin crystals, arXiv:1212.0353, Contemp. Math. {\bf 602} (2013), 183-194.

• A. Kuniba and M. Okado, A solution of the 3D reflection equation from quantized algebra of functions of type $B$, arXiv:1210.6430, 'Symmetries and Groups in Contemporary Physics', Nankai Series in Pure, Applied Mathematics and Theoretical Physics: Volume 11, Edited by C. Bai, J.-P. Gazeau and M.-L. Ge, World Scientific (2013), 181-189.

• A. Kuniba and M. Okado, Tetrahedron and 3D reflection equations from quantized algebra of functions, arXiv:1208.1586, J. Phys. A: Math. Theor. {\bf 45}, (2012) 465206 (27pp).

• M. Okado, R. Sakamoto and A. Schilling, Affine crystal structure on rigged configurations of type $D_n^(1)$, arXiv:1109.3523, J. of Alg. Comb. {\bf 37} (2013), 571-599.

• K.C. Misra, M. Okado and E.A. Wilson, Soliton cellular automaton associated with $G_2^{(1)}$ crystal base, arXiv:1109.2836, J. Math. Phys. {\bf 53}, 013510 (2012).

• M. Okado and N. Sano, KKR type bijection for the exceptional affine algebra $E_6^{(1)}$, arXiv:1105.1636, Contemp. Math. {\bf 565} (2012), 227-242.

• C. Lecouvey, M. Okado and M. Shimozono, X=K under review, arXiv:1105.1627, RIMS Kokyuroku Bessatsu {\bf B28} (2011), 155-164.

• M. Okado and R. Sakamoto, Stable rigged configurations for quantum affine algebras of nonexceptional types, arXiv:1008.0460, Adv. in Math. {\bf 228} (2011), 1262-1293.

• C. Lecouvey, M. Okado and M. Shimozono, Affine crystals, one-dimensional sums and parabolic Lusztig $q$-analogues, arXiv:1002.3715, Mathematische Zeitschrift {\bf 271} (2012), 819-865.

• K.C. Misra, M. Mohamad and M. Okado, Zero action on perfect crystals for $U_q(G_2^{(1)})$, arXiv:0911.2579, SIGMA {\bf 6} (2010), 022, 12 pages.

• M. Okado and R. Sakamoto, Combinatorial R-matrices for Kirillov-Reshetikhin crystals of type $D^{(1)}_n,B^{(1)}_n,A^{(2)}_{2n-1}$, arXiv:0903.4238, Internat. Math. Res. Notices {\bf 2010} (2010), 559-593.

• G. Fourier, M. Okado and A. Schilling, Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types, arXiv:0811.1604, Contemp. Math. {\bf 506} (2010), 127-143.

• G. Fourier, M. Okado and A. Schilling, Kirillov-Reshetikhin crystals for nonexceptional types, arXiv:0810.5067, Adv. in Math. {\bf 222} (2009), 1080-1116.

• M. Kashiwara, T. Nakashima and M. Okado, Tropical R maps and affine geometric crystals, arXiv:0808.2411, Represent. Theory {\bf 14} (2010), 446-509.

• M. Okado and A. Schilling, Existence of Kirillov-Reshetikhin crystals for nonexceptional types, arXiv:0706.2224, Represent. Theory {\bf 12} (2008), 186-207.

• M. Okado, Existence of crystal bases for Kirillov-Reshetikhin modules of type $D$, math.QA/0610874, Publ. RIMS, {\bf 43} (2007), 977-1004.

• M. Kashiwara, K.C. Misra, M. Okado and D. Yamada, Perfect crystals for $U_q(D_4^{(3)})$, math.QA/0610873, J. of Alg. {\bf 317} (2007), 392-423.

• A. Kuniba, M. Okado, R. Sakamoto, T. Takagi and Y. Yamada, Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection, math.QA/0601630, Nucl. Phys. {\bf B740} [PM] (2006), 299-327.

• M. Kashiwara, T. Nakashima and M. Okado, Affine geometric crystals and limit of perfect crystals, math.QA/0512657, Trans. Amer. Math. Soc. {\bf 360} (2008), 3645-3686.

• M. Okado, $X=M$ conjecture, MSJ Memoirs {\bf 17} (2007), 43-73.

• A. Kuniba, M. Okado and Y. Yamada, Box-ball system with reflecting end, nlin.SI/0411044, J. of Nonlinear Math. Phys. {\bf 12} (2005), 475-507.

• R. Inoue, A. Kuniba and M. Okado, A quantization of box-ball systems, nlin.SI/0404047, Reviews in Mathematical Physics {\bf 16} (2004), 1227-1258.

• A. Kuniba, M. Okado, T. Takagi and Y. Yamada, Tropical $R$ and tau functions, math.QA/0303088, Commun. Math. Phys. {\bf 245} (2004), 491-517.

• M. Okado, A. Schilling and M. Shimozono, Virtual crystals and Kleber's algorithm, math.QA/0209082, Commun. Math. Phys. {\bf 238} (2003), 187-209.

• A. Kuniba, M. Okado, T. Takagi and Y. Yamada, Geometric crystal and tropical $R$ for $D^{(1)}_n$, math.QA/0208239, Internat. Math. Res. Notices {\bf 48} (2003), 2565-2620.

• M. Okado, A. Schilling and M. Shimozono, A crystal to rigged configuration bijection for nonexceptional affine algebras, math.QA/0203163, ``Algebraic Combinatorics and Quantum Groups", Edited by N. Jing, World Scientific (2003), 85-124.

• M. Okado, A. Schilling and M. Shimozono, A tensor product theorem related to perfect crystals, math.QA/0111288, J. of Alg. {\bf 267} (2003), 212-245.

• A. Kuniba, M. Okado, J. Suzuki and Y. Yamada, Difference L operators related to q-characters, math.QA/0109140, J. Phys. A: Math. Gen. {\bf 35} (2002), 1415-1435.

• M. Okado, A. Schilling and M. Shimozono, Virtual crystals and fermionic formulas of type $D_{n+1}^{(2)}$, $A_{2n}^{(2)}$, and $C_n^{(1)}$, math.QA/0105017, Represent. Theory {\bf 7} (2003), 101-163.

• M. Okado, A. Schilling and M. Shimozono, Crystal bases and $q$-identities, math.QA/0104268, Contemp. Math. {\bf 291} (2001), 29-53.

• G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Z. Tsuboi, Paths, crystals and fermionic formulae, math.QA/0102113, ``MathPhys Odyssey 2001--Integrable Models and Beyond In Hornor of Barry M. McCoy", Edited by M. Kashiwara and T. Miwa, Birkhauser (2002), 205-272.

• G. Hatayama, A. Kuniba, M. Okado and T. Takagi, Combinatorial $R$ matrices for a family of crystals: $B^{(1)}_n,D^{(1)}_n,A^{(2)}_{2n}$ and $D^{(2)}_{n+1}$ cases, math.QA/0012247, J. of Alg. {\bf 247} (2002), 577-615.

• G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Y. Yamada, Scattering rules in soliton cellular automata associated with crystal bases, math.QA/0007175, Contemp. Math. {\bf 297} (2002), 151-182.

• G. Hatayama, A. Kuniba, M. Okado and T. Takagi, Combinatorial $R$ matrices for a family of crystals: $C^{(1)}_n$ and $A^{(2)}_{2n-1}$ cases, math.QA/9909068, ``Physical Combinatorics", Edited by M. Kashiwara and T. Miwa, Birkhauser (2000), 105-139.

• K. Fukuda, M. Okado and Y. Yamada, Energy functions in box ball systems, math.QA/9908116, Int. J. Mod. Phys. A {\bf 15} (2000), 1379-1392.

• G. Hatayama, Y. Koga, A. Kuniba, M. Okado and T. Takagi, Finite crystals and paths, math.QA/9901082, Adv. Stud. in Pure Math. {\bf 28} (2000), 115-134.

• G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Y. Yamada, Remarks on fermionic formula, math.QA/9812022, Contemp. Math. {\bf 248} (1999), 243-291.

• N. Jing, K.C. Misra and M. Okado, $q$-wedge modules for quantized enveloping algebras of classical type, math.QA/9811013, J. of Alg. {\bf 230} (2000), 518-539.

• O. Foda, B. Leclerc, M. Okado and J.-Y. Thibon, Ribbon tableaux and $q$-analogues of fusion rules in WZW conformal field theories, math.QA/9810008, in "Symmetry and structural properties of condensed matter", Proc. 5th International School on Theoretical Physics (Zajackowo, August 27 - September 2, 1998), Edited by T. Lulek, B. Lulek and A. Wal, World Scientific (1999), 188-201.

• G. Hatayama, A.N. Kirillov, A. Kuniba, M. Okado, T. Takagi and Y. Yamada, Character formulae of $\widehat{sl}_n$-modules and inhomogeneous paths, math.QA/9802085, Nucl. Phys. {\bf B536} [PM] (1998), 575-616.

• O. Foda, B. Leclerc, M. Okado, J.-Y. Thibon and T.A. Welsh, Branching functions of $A_{n-1}^{(1)}$ and Jantzen-Seitz problem for Ariki-Koike algebras, q-alg/9710007, Adv. in Math. {\bf 141} (1999), 322-365.

• A. Kuniba, K.C. Misra, M. Okado, T. Takagi and J. Uchiyama, Crystals for Demazure modules of classical affine Lie algebras, q-alg/9707014, J. of Alg. {\bf 208} (1998), 185-215.

• A. Kuniba, K.C. Misra, M. Okado, T. Takagi and J. Uchiyama, Characters of Demazure modules and solvable lattice models, q-alg/9707004, Nucl. Phys. {\bf B510} [PM] (1998), 555-576.

• O. Foda, B. Leclerc, M. Okado, J.-Y. Thibon and T.A. Welsh, Combinatorics of solvable lattice models and modular representations of Hecke algebras, q-alg/9701021, 'Geometric Analysis and Lie Theory in Mathematics and Physics', Australian Mathematical Society Lecture Series 11, Edited by A.L. Carey and M.K. Murray, Cambridge University Press (1998), 243-290.

• O. Foda, B. Leclerc, M. Okado, J.-Y. Thibon and T.A. Welsh, RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity, q-alg/9701020, Lett. Math. Phys. {\bf 43} (1998), 31-42.

• A. Kuniba, K.C. Misra, M. Okado, T. Takagi and J. Uchiyama, Paths, Demazure crystals and symmetric functions, q-alg/9612018, Jour. of Math. Phys. Jour. {\bf 41} (2000), 6477-6486.

• A. Kuniba, K.C. Misra, M. Okado and J. Uchiyama, Demazure modules and perfect crystals, q-alg/9607011, Commun. Math. Phys. {\bf 192} (1998), 555-567.

• O. Foda, K.C. Misra and M. Okado, Demazure modules and vertex models: the $\widehat{sl}(2)$ case, q-alg/9602018, Jour. of Math. Phys. {\bf 39} (1998), 1601-1622.

• O. Foda, M. Okado and S.O. Warnaar, A proof of polynomial identities of type $\widehat{sl(n)}_1\otimes\widehat{sl(n)}_1/\widehat{sl(n)}_2$, q-alg/9507014, Jour. of Math. Phys. {\bf 37} (1996), 965-986.

• B. Davies and M. Okado, Excitation spectra of spin models constructed from quantized affine algebras of type $B_n^{(1)},D_n^{(1)}$, hep-th/9506201, Int. Jour. of Mod. Phys. A {\bf 11} (1996), 1975-2017.

• E. Date and M. Okado, Calculation of excitation spectra of the spin model related with the vector representation of the quantized affine algebra of type $A_n^{(1)}$, Int. Jour. of Mod. Phys. A {\bf 9} (1994), 399-417.

• E. Date, M. Jimbo and M. Okado, Crystal base and $q$-vertex operators, Commun. Math. Phys. {\bf 155} (1993), 47-69.

• E. Date, M. Jimbo, K. Miki and M. Okado, Mean staggered polarization for the higher spin analog of the 6-vertex model, Proceedings of the RIMS Research Project 1991 'Infinite Analysis', held at Research Institute for Mathematical Sciences, Kyoto University, June-August, 1991, Edited by A. Tsuchiya, T. Eguchi and M. Jimbo, World Scientific (1992), Part A 151-163.

• M. Okado, Solvable face models related to the Lie superalgebra $sl(m|n)$, Lett. Math. Phys. {\bf 22} (1991), 39-43.

• M. Okado and H. Yamane, $R$-matrices with gauge parameters and multi-parameter quantized enveloping algebras, Proceedings of the Hayashibara Forum 1990 held in Fujisaki Institute, Okayama, Japan, 'Special Functions', August 16-20, 1990, Edited by M. Kashiwara and T. Miwa, ICM-90 Satellite Conference Proceedings, Springer-Verlag (1991), 289-293.

• M. Jimbo, K.C. Misra, T. Miwa and M. Okado, Combinatorics of representations of $U_q\bigl(\widehat{sl}(n)\bigr)$ at $q=0$, Commun. Math. Phys. {\bf 136} (1991), 543-566.

• M. Okado, Quantum $R$ matrices related to the spin representations of $B_n$ and $D_n$, Commun. Math. Phys. {\bf 134} (1990), 467-486.

• E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Paths, Maya diagrams and representation of $\widehat{sl}(r,{\bf C})$, Adv. Stud. Pure Math. {\bf 19} (1989), 149-191.

• E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Chemins, diagrammes de Maya et repr\'esentations de $\widehat{sl}(r,{\bf C})$, C. R. Acad. Sci. Paris S\'erie I {\bf t.308} (1989), 129-132 (in French).

• E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Path space realization of the basic representation of $A_n^{(1)}$, Proceedings of the Conference held at CIRM, Luminy, Marseille, 'Infinite Dimensional Lie Algebras and Groups', July 4--8, 1988, Edited by Victor G. Kac, Advanced Series in Mathematical Physics, Vol. 7, World Scientific (1989), 108-123.

• E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, One dimensional configuration sums in vertex models and affine Lie algebra characters, Lett. Math. Phys. {\bf 17} (1989), 69-77.

• E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, A new realization of the basic representation of $A^{(1)}_n$, Lett. Math. Phys. {\bf 17} (1989), 51-54.

• M. Jimbo, A. Kuniba, T. Miwa and M. Okado, The $A^{(1)}_n$ face models, Commun. Math. Phys. {\bf 119} (1988), 543-565.

• M. Jimbo, T. Miwa and M. Okado, Solvable lattice models related to the vector representation of classical simple Lie algebras, Commun. Math. Phys. {\bf 116} (1988), 507-525.

• M. Jimbo, T. Miwa and M. Okado, Local state probabilities of solvable lattice models: An $A^{(1)}_{n-1}$ family, Nucl. Phys. {\bf B300}[FS22] (1988), 74-108.

• M. Okado, M. Jimbo and T. Miwa, Solvable lattice models in two dimensions and modular functions, Sugaku {\bf vol 40} (1988), 1-18 (in Japanese).

• E. Date, M. Jimbo, T. Miwa and M. Okado, Solvable lattice models, Proceedings of Symposia in Pure Math. {\bf 49} (1989), 295-331.

• E. Date, M. Jimbo, T. Miwa and M. Okado, Two remarks on recent developments in solvable models, Algebraic Analysis {\bf vol 1} (1988), 75-84.

• M. Jimbo, T. Miwa and M. Okado, Symmetric tensors of the $A^{(1)}_{n-1}$ family, Algebraic Analysis {\bf vol 1} (1988), 253-266.

• M. Jimbo, T. Miwa and M. Okado, An $A^{(1)}_{n-1}$ family of solvable lattice models, Mod. Phys. Lett. {\bf B1} (1987), 73-79.

• M. Jimbo, T. Miwa and M. Okado, Solvable lattice models whose states are dominant integral weights of $A^{(1)}_{n-1}$, Lett. Math. Phys. {\bf 14} (1987), 123-131.

• E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Exactly solvable SOS models II: Proof of the star-triangle relation and combinatorial identities, Adv. Stud. Pure Math. {\bf 16} (1988), 17-122.

• E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado, Exactly solvable SOS models: Local height probabilities and theta function identities, Nucl. Phys. {\bf B290}[FS20] (1987), 231-273.

• E. Date, M. Jimbo, T. Miwa and M. Okado, Automorphic properties of local height probabilities for integrable solid-on-solid models, Phys. Rev. {\bf B35} (1987), 2105-2107.

• E. Date, M. Jimbo, T. Miwa and M. Okado, Fusion of the eight vertex SOS model, Lett. Math. Phys. {\bf 12} (1986), 209-215.

• M. Jimbo, T. Miwa and M. Okado, Solvable lattice models with broken ${\bf Z}_n$ symmetry and Hecke's indefinite modular forms, Nucl. Phys. {\bf B275}[FS17] (1986), 517-545.