Masato Okado - My portal - researchmap

Profile Information

Affiliation: Professor, Graduate School of Science Mathematics and Physics Course, Osaka Metropolitan University

Degree: Doctor of Science(Kyoto University)

Researcher number: 70221843
J-GLOBAL ID: 200901018748016656
researchmap Member ID: 1000030174

External link: http://www.sci.osaka-cu.ac.jp/~okado/

Research Interests

2

Research Areas

1

Natural sciences / Algebra /

Research History

6

Apr, 2013 - Present

Professor, Graduate School of Science Mathematics and Physics Course, Osaka City University
1991 - 1996

Osaka University
1991 - 1996

Osaka University, Lecturer
1990 - 1991

Osaka University
1990 - 1991

Osaka University, Research Assistant
Osaka University Graduate School of Engineering Science, Department of Systems Innovation Division of Mathematical Science

Education

4

- 1990

Kyoto University
- 1990

Graduate School, Division of Natural Science, Kyoto University
- 1985

Department of Basic Science, Faculty of Liberal Arts, The University of Tokyo
- 1985

Faculty of Liberal Arts, The University of Tokyo

Papers

31

Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type $A^{(1)}_{n-1}$

Atsuo Kuniba, Masato Okado

Journal of Integrable Systems, 4(1) xyz013-(10 pages), Dec 13, 2019 Peer-reviewed
Reflection K matrices associated with an Onsager coideal of U-p(A(n-1)((1))), U-p(B-n((1))), U-p(D-n((1))) and U-p(D-n+1((2)))

Kuniba Atsuo, Okado Masato, Yoneyama Akihito

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 52(37) 375202-375202, Sep 13, 2019 Peer-reviewed
Matrix product solution to the reflection equation associated with a coideal subalgebra of Uq(An-1(1))

Kuniba Atsuo, Okado Masato, Yoneyama Akihito

LETTERS IN MATHEMATICAL PHYSICS, 109(9) 2049-2067, Sep, 2019 Peer-reviewed
Randomized box-ball systems, limit shape of rigged configurations and Thermodynamic Bethe ansatz

A. Kuniba, H. Lyu, M. Okado

Nuclear Physics B, 937 240-271, 2018 Peer-reviewed
Rigged configuration bijection and proof of the X=M conjecture for nonexceptional affine types

M. Okado, A. Schilling, T. Scrimshaw

Journal of Algebra, 516 1-37, 2018 Peer-reviewed
Randomized box-ball systems, limit shape of rigged configurations and Thermodynamic Bethe ansatz

A. Kuniba, H. Lyu, M. Okado

Nuclear Physics B, 937 240-271, 2018 Peer-reviewed
Rigged configuration bijection and proof of the X=M conjecture for nonexceptional affine types

M. Okado, A. Schilling, T. Scrimshaw

Journal of Algebra, 516 1-37, 2018 Peer-reviewed
Type Dn(1) rigged configuration bijection

Masato Okado, Reiho Sakamoto, Anne Schilling, Travis Scrimshaw

Journal of Algebraic Combinatorics, 46(2) 341-401, Sep 1, 2017 Peer-reviewed
Integrable structure of multispecies zero range process

Atsuo Kuniba, Masato Okado, Satoshi Watanabe

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13, Jun 17, 2017 Peer-reviewed
A q-boson representation of Zamolodchikov-Faddeev algebra for stochastic R matrix of Uq(An(1))

Atsuo Kuniba, Masato Okado

Letters in Mathematical Physics, 107(6) 1111-1130, Jun 1, 2017 Peer-reviewed
Matrix product formula for Uq(A2(1))-zero range process

Atsuo Kuniba, Masato Okado

Journal of Physics A: Mathematical and Theoretical, 50(4), Jan 27, 2017 Peer-reviewed
Stochastic R matrix for Uq(An (1))

A. Kuniba, V. V. Mangazeev, S. Maruyama, M. Okado

Nuclear Physics B, 913 248-277, Dec 1, 2016 Peer-reviewed
Similarity and Kirillov-Schilling-Shimozono Bijection

Masato Okado

Algebras and Representation Theory, 19(4) 975-989, Aug 1, 2016 Peer-reviewed
Inhomogeneous Generalization of a Multispecies Totally Asymmetric Zero Range Process

Atsuo Kuniba, Shouya Maruyama, Masato Okado

Journal of Statistical Physics, 164(4) 952-968, Aug 1, 2016 Peer-reviewed
組合せR,四面体方程式と多状態TASEP (組合せ論的表現論とその周辺 : RIMS研究集会報告集)

国場敦夫, 丸山翔也, 尾角正人

京都大学数理解析研究所講究録, (1992) 126-137, Apr, 2016 Peer-reviewed
Multispecies TASEP and the tetrahedron equation

Atsuo Kuniba, Shouya Maruyama, Masato Okado

Journal of Physics A: Mathematical and Theoretical, 49(11), Feb 2, 2016 Peer-reviewed
Multispecies TASEP and combinatorial R

Atsuo Kuniba, Shouya Maruyama, Masato Okado

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 48(34), Aug, 2015 Peer-reviewed
Tetrahedron equation and generalized quantum groups

Atsuo Kuniba, Masato Okado, Sergey Sergeev

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 48(30), Jul, 2015 Peer-reviewed
Tetrahedron Equation and Quantum R Matrices for q-oscillator Representations of U-q(A(2n)((2))), U-q(C-n((1))) and U-q(Dn+1)

Atsuo Kuniba, Masato Okado

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 334(3) 1219-1244, Mar, 2015 Peer-reviewed
Tetrahedron Equation and Quantum R Matrices for Modular Double of U-q (D-n+1((2))), U-q (A(2n)((2))) and U-q (C-n((1)))

Atsuo Kuniba, Masato Okado, Sergey Sergeev

LETTERS IN MATHEMATICAL PHYSICS, 105(3) 447-461, Mar, 2015 Peer-reviewed

More

Misc.

16

Energy functions in box ball systems

K Fukuda, Y Yamada, M Okado

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 15(9) 1379-1392, Apr, 2000
Finite Crystals and Paths(共著)

OKADO Masato

Advanced Studies in Pure Mathematics, 28 115, 2000 Peer-reviewed
Branching functions of A((1))(n-1) and Jantzen-Seitz problem for Ariki-Koike algebras

O Foda, B Leclerc, M Okado, JY Thibon, TA Welsh

ADVANCES IN MATHEMATICS, 141(2) 322-365, Feb, 1999
Remarks on fermionic formula

G. Hatayama, A. Kuniba, M. Okado, T. Takagi, Y. Yamada

Contemporary Mathematics, 248 243-291, 1999 Peer-reviewed
Character Formulae of ┣DAsl(/)∧┫DAn-Modules and Inhomogeneous Paths(共著)

Nuclear Physics, B536[PM] 575, 1998
Characters of Demazure Modules and Solvable Lattice Models(共著)

Nuclear Physics B, 510 555, 1998
Demazure Modules and Perfect Crystals(共著)

Communications in Mathematical Physics, 192(3) 555-567, 1998
A Proof of Polynomial Identities of Type ┣DAsl(/)∧┫DA(n)₁ (x) ┣DAsl(/)∧┫DA(n)₁ /┣DAsl(/)∧┫DA(n)₂ (共著)

OKADO Masato

Journal of Mathematical Physics, 37 965, 1996 Peer-reviewed
Calculation of Excitation Spectra of the Spin Model Related with the Vector Representation of the Quantized Affine Algebra of Type A⁽¹⁾n(共著)

OKADO Masato

International Journal of Modern Physics A, 9(3) 399-417, 1994 Peer-reviewed
Crystal Base and q-Vertex Operators(共著)

Communications in Mathematical Physics, 155(1) 47-69, 1993
Combinatorics of Representations of Uq((]G2108[)(n)) at q=o(共著)

OKADO Masato

Communications in Mathematical Physics, 136 543, 1991 Peer-reviewed
Quantum R Matrices Related to the Spin Representations of Bn and Dn

Communications in Mathematical Physics, 134, 1990
2次元の可解な格子模型とモジュラー函数(共著)

尾角正人

数学, 40, 1988 Peer-reviewed
SOLVABLE LATTICE MODELS RELATED TO THE VECTOR REPRESENTATION OF CLASSICAL SIMPLE LIE-ALGEBRAS

M JIMBO, T MIWA, M OKADO

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 116(3) 507-525, 1988 Peer-reviewed
Solvable Lattice Models in Two Dimensions and Modular functions

OKADO Masato

Sugaku, 40, 1988 Peer-reviewed
Exactly solvable SOS Models : Local Height Probabilities and Theta Function Identities(共著)

Nuclear Physics, B290, 1987

Books and Other Publications

15

解析学百科II 可積分系の数理

中村佳正, 高崎金久, 辻本諭, 尾角正人, 井ノ口順一 (Role: Joint author)

朝倉書店, Mar, 2018
可積分系の数理

中村佳正, 高崎金久, 辻本諭, 尾角正人, 井ノ口順一

朝倉書店, 2018 (ISBN: 9784254117271)
New trends in quantum integrable systems : proceedings of the Infinite Analysis 09 : Kyoto, Japan, 27-31 July 2009

Feigin Boris L, 神保道夫, 尾角正人

World Scientific, 2011 (ISBN: 9789814324366)
可積分系と組合せ論的表現論

尾角正人

[尾角正人], 2008
可積分系の組合せ論的側面

京都大学数理解析研究所, 尾角正人

京都大学数理解析研究所, 2005
クリスタル基底の組合せ論的研究と離散可積分系への応用

尾角正人

[尾角正人], 2005
量子群の結晶基底とその応用

国場敦夫, 尾角正人

国場敦夫, 2002
アフィンリー環の指標とべーテ仮説

尾角正人

[尾角正人], 2002
デマズール加群の組合せ論的研究

尾角正人

[尾角正人], 1999
群の表現論及び等質空間上の解析

京都大学数理解析研究所

京都大学数理解析研究所, 1992
表現論とその物理的応用

京都大学数理解析研究所

京都大学数理解析研究所, 1989
代数解析学の展望

京都大学数理解析研究所

京都大学数理解析研究所, 1988
Toda lattice and the related topics

京都大学数理解析研究所

京都大学数理解析研究所, 1988
Developments of algebraic analysis

京都大学数理解析研究所

京都大学数理解析研究所, 1988
Theta functions and related topics

京都大学数理解析研究所

京都大学数理解析研究所, 1986

Presentations

15

Quantum super duality

Masato Okado

RIMS研究集会 Representation theory of algebraic groups and quantum groups, Oct 21, 2019 Invited
Integrable systems arising from Kirillov-Reshetikhin crystals of quantum affine algebras

Masato Okado

SIDE 13, Nov, 2018 Invited
A型一般化量子群のKRクリスタル

尾角正人, Jae-Hoon Kwon

日本数学会2018年度秋季総合分科会無限可積分系セッション一般講演, Sep, 2018
アフィン非例外型のパスと艤装配位の全単射

尾角正人, A. Schilling, T. Scrimshaw

日本数学会2018年年会無限可積分系セッション一般講演, Mar, 2018
Generalized quantum groups and fusion procedure

Masato Okado

MATRIX program ``Non-Equilibrium Systems and Special Functions", Jan, 2018 Invited
箱玉系再訪

尾角正人

RIMS研究集会「可積分系の数理と応用」, Sep, 2017 Invited
Integrable stochastic models and quantum groups

M. Okado

Frontiers in Mathematical Physics, Jan, 2017 Invited
Similarity of Kirillov-Reshetikhin crystals and its applications

M. Okado

ICM 2014 Satellite Conference on Representation Theory and Related Topics, Sep, 2014 Invited
四面体方程式と量子群

尾角正人

日本数学会2014年度秋季総合分科会代数学分科会特別講演, Sep, 2014 Invited
アフィン量子群の有限次元表現について

尾角正人

第５７回代数学シンポジウム, Aug, 2012 Invited
Open problems related to Kirillov-Reshetikhin crystals

M. Okado

BIRS Workshop "Twenty-five years of representation theory of quantum groups", Aug, 2011 Invited
X=M for large rank

M. Okado

ICM 2010 Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, Aug, 2010 Invited
KR crystals and combinatorial R-matrices

M. Okado

Satellite workshop of the Isaac Newton Institute Programme on Discrete Integrable Systems "Geometric aspects of discrete and ultra-discrete integrable systems", Mar, 2009 Invited
可解格子模型から生まれる組合せ論的な問題について

尾角正人

日本数学会２００５年度秋季総合分科会無限可積分系特別講演, Sep, 2005 Invited
Fermionic formula and related topics

M. Okado

Mathphys Odyssey 2001 Integrable Models and Beyond, Feb, 2001 Invited

Professional Memberships

1

日本数学会

Works

4

Research Projects

31

量子群研究の新展開

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2019 - Mar, 2022
可積分系における新たな代数的組合せ論的構造の研究

科学研究費助成事業, 基盤研究(B), 日本学術振興会, Apr, 2016 - Mar, 2021

中西知樹, 国場敦夫, 尾角正人
四面体方程式と量子群

科学研究費助成事業, 挑戦的萌芽研究, 日本学術振興会, Apr, 2015 - Mar, 2019

尾角正人
Studies of the algebraic and combinatorial structures related to quantum integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(B), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2016

OKADO Masato, KUNIBA Atsuo, NAKANISHI Tomoki, YAMADA Yasuhiko, SCHILLING Anne
Approach to the polynomials related to representation theory from quantum integrable systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for challenging Exploratory Research, Japan Society for the Promotion of Science, 2011 - 2013

OKADO Masato, KUNIBA Atsuo, YAMADA Yasuhiko, SAKAMOTO Reiho, SCHILLING Anne
Representation Theory of Quantum Groups and Integrable Systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2008 - 2010

OKADO Masato, NOBE Atsushi, SAKAMOTO Reiho, NAKASHIMA Toshiki, FOURIER Ghislain, LECOUVER Cedric, MISRA Kailash C, SCHILLING Anne, SHIMOZONO Mark
Ultradiscrete solitons and solvable lattice models

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2007 - 2008

KUNIBA Atsuo, OKADO Masato
Method of Algebraic Analysis in Mathematical Physics (with the emphasis on Representation Theory, Combinatorics and Complex Analysis)

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(B), Japan Society for the Promotion of Science, 2005 - 2008

MIWA Tetsuji, JIMBO Michio, OKADO Masato, NAKAYASHIKI Atsushi, TAKEYAMA Yoshihiro, IOHARA Kenji, SUZUKI Takeshi, TAKEMURA Kouichi
A study of commutative rings of differential operators in completely integrable models and their eigenfunctions

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(B), Japan Society for the Promotion of Science, 2005 - 2008

DATE Etsuro, KAWANAKA Noriaki, MATSUMURA Akitaka, KOMATSU Gen, MIKI Kei, YAMANE Hiroyuki, OKADO Masato, NOUMI Masatoshi
Box-ball systems and combinatorial Bethe ansatz

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(B), Japan Society for the Promotion of Science, 2005 - 2008

YAMADA Yasuhiko, NOUMI Masatoshi, OHTA Yasuhiro, KUNIBA Atsuo, OKADO Masato, TAKANO Kyoichi, MASUDA Tetsu
Integrable Systems and Combinatorial Representation Theory

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2006 - 2007

OKADO Masato, YAMADA Yasuhiko, KUNIBA Atsuo, NOBE Atsushi
Study on the fusion products and crystalbases of level-zero representations of quantum affine algebras

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2005 - 2007

NAITO Satoshi, MORITA Jun, TAKEYAMA Yoshihiro, DAISUKE Sagaki, MASATO Okado
Quantum groups and discrete integrable system

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2003 - 2005

KUNIBA Atsuo, OKADO Masato
Combinatorial Study of Crystal Bases and its Application to Discrete Integrable Systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2002 - 2004

OKADO Masato, OGAWA Toshiyuki, NOBE Atsushi, KUNIBA Atsuo
Physical Combinatorics

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(A), Japan Society for the Promotion of Science, 2001 - 2004

MIWA Tetsuji, KASHIWARA Masaki, JIMBO Michio, NAKAYASHIKI Atsushi, OKADO Masato, OOYAMA Yosuke
Research on algebraic structures of ultradiscrete soliton equations and applications to engineering

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2001 - 2003

NAGAI Atsushi, KONDO Koichi, TSUJIMOTO Satoshi, OKADO Masato
Stochastic analysis on loop space

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2000 - 2002

AIDA Shigeki, SEKINE Jun, NAGAI Hideo
Crystal basis in quantum groups and its applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 2000 - 2001

KUNIBA Atsuo, OKADO Masato
Affine Lie algebra characters and Bethe Ansatz

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 1999 - 2001

OKADO Masato, KUNIBA Atsuo, NAGAI Atsushi, OGAWA Toshiyuki, TSUJIMOTO Satoshi
Combinatorial Studies of Demazure Modules

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research(C), Japan Society for the Promotion of Science, 1997 - 1998

OKADO Masato, NAKASHIMA Toshiki, OGAWA Toshiyuki, KUNIBA Atsuo

More

Social Activities

4

茨城県立水戸第一高校模擬講義

Lecturer

Sep 26, 2019
大阪教育大付属天王寺大学見学

Consultant, Planner

Dec 17, 2018
寝屋川高校テーマ別模擬授業

Lecturer

Sep 13, 2018
数学や理科の好きな高校生のための市大授業

Lecturer

数学や理科の好きな高校生のための市大授業, 8号館, Apr 29, 2014