Kirillov-Reshetikhin modules of generalized quantum groups of Type A Invited Reviewed International coauthorship

Jae-Hoon Kwon, Masato Okado

Publications of the Research Institute for Mathematical Sciences   57   993 - 1039   2021.09

Higher Level q-Oscillator Representations for U-q(C-n((1))), U-q(C-(2)(n+1)) and U-q(B-(1)(0, n)) Reviewed

Kwon Jae-Hoon, Okado Masato

COMMUNICATIONS IN MATHEMATICAL PHYSICS   2021.02（ ISSN:0010-3616 ）

Kirillov–Reshetikhin crystals of quantum affine algebras Reviewed

Okado Masato

SUGAKU   72 ( 2 )   139 - 157   2020.04（ ISSN:0039470X ） （ eISSN:18836127 ）

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

Atsuo Kuniba, Masato Okado

Journal of Integrable Systems   4 ( 1 )   xyz013 - (10 pages)   2019.12

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))) Reviewed

Kuniba Atsuo, Okado Masato, Yoneyama Akihito

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   52 ( 37 )   2019.09（ ISSN:1751-8113 ）

Matrix product solution to the reflection equation associated with a coideal subalgebra of Uq(An-1(1)) Reviewed

Kuniba Atsuo, Okado Masato, Yoneyama Akihito

LETTERS IN MATHEMATICAL PHYSICS   109 ( 9 )   2049 - 2067   2019.09（ ISSN:0377-9017 ）

Rigged configuration bijection and proof of the X = M conjecture for nonexceptional affine types Reviewed

Okado Masato, Schilling Anne, Scrimshaw Travis

JOURNAL OF ALGEBRA   516   1 - 37   2018.12（ ISSN:0021-8693 ）

Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe ansatz Reviewed

Kuniba Atsuo, Lyu Hanbaek, Okado Masato

NUCLEAR PHYSICS B   937   240 - 271   2018.12（ ISSN:0550-3213 ）

Type D-n((1)) rigged configuration bijection Reviewed

Okado Masato, Sakamoto Reiho, Schilling Anne, Scrimshaw Travis

JOURNAL OF ALGEBRAIC COMBINATORICS   46 ( 2 )   341 - 401   2017.09（ ISSN:0925-9899 ）

A q-boson representation of Zamolodchikov-Faddeev algebra for stochastic R matrix of U-q(A(n)((1))) Reviewed

Kuniba Atsuo, Okado Masato

LETTERS IN MATHEMATICAL PHYSICS   107 ( 6 )   1111 - 1130   2017.06（ ISSN:0377-9017 ）

Matrix product formula for U-q(A(2)((1)))-zero range process Reviewed

Kuniba Atsuo, Okado Masato

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   50 ( 4 )   2017.01（ ISSN:1751-8113 ）

Integrable Structure of Multispecies Zero Range Process Reviewed

Kuniba Atsuo, Okado Masato, Watanabe Satoshi

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS   13   2017（ ISSN:1815-0659 ）

Stochastic R matrix for U-q(A(n)((1))) Reviewed

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

NUCLEAR PHYSICS B   913   248 - 277   2016.12（ ISSN:0550-3213 ）

Similarity and Kirillov-Schilling-Shimozono Bijection Reviewed

Okado Masato

ALGEBRAS AND REPRESENTATION THEORY   19 ( 4 )   975 - 989   2016.08（ ISSN:1386-923X ）

Inhomogeneous Generalization of a Multispecies Totally Asymmetric Zero Range Process Reviewed

Kuniba Atsuo, Maruyama Shouya, Okado Masato

JOURNAL OF STATISTICAL PHYSICS   164 ( 4 )   952 - 968   2016.08（ ISSN:0022-4715 ）

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) Reviewed

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   2016.04（ ISSN:1880-2818 ）

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) Reviewed

国場 敦夫, 丸山 翔也, 尾角 正人

数理解析研究所講究録   1992   126 - 137   2016.04（ ISSN:18802818 ）

Multispecies TASEP and the tetrahedron equation Reviewed

Kuniba Atsuo, Maruyama Shouya, Okado Masato

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   49 ( 11 )   2016.03（ ISSN:1751-8113 ）

Multispecies TASEP and combinatorial R Reviewed

Kuniba Atsuo, Maruyama Shouya, Okado Masato

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   48 ( 34 )   2015.08（ ISSN:1751-8113 ）

Tetrahedron equation and generalized quantum groups Reviewed

Kuniba Atsuo, Okado Masato, Sergeev Sergey

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   48 ( 30 )   2015.07（ ISSN:1751-8113 ）

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) Reviewed

Kuniba Atsuo, Okado Masato

COMMUNICATIONS IN MATHEMATICAL PHYSICS   334 ( 3 )   1219 - 1244   2015.03（ ISSN:0010-3616 ）

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))) Reviewed

Kuniba Atsuo, Okado Masato, Sergeev Sergey

LETTERS IN MATHEMATICAL PHYSICS   105 ( 3 )   447 - 461   2015.03（ ISSN:0377-9017 ）

KKR TYPE BIJECTION AND FUTURE PERSPECTIVES (Algebraic Combinatorics related to Young diagram and statistical physics) Reviewed

OKADO MASATO

京都大学数理解析研究所　数理解析研究所講究録   ( 1913 )   112 - 119   2014.08（ ISSN:1880-2818 ）

Tetrahedron equation and quantum R matrices for infinite-dimensional modules of U-q(A(1)((1))) and U-q(A(2)((2))) Reviewed

Kuniba Atsuo, Okado Masato

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   46 ( 48 )   2013.12（ ISSN:1751-8113 ）

A common structure in PBW bases of the nilpotent subalgebra of U_q(g) and quantized algebra of functions Reviewed

Kuniba Atsuo, Okado Masato, Yamada Yasuhiko

SIGMA   9 ( 49 )   23 pages   2013

Simplicity and similarity of Kirillov-Reshetikhin crystals Reviewed

尾角 正人

Contemp. Math   602   183 - 194   2013

Kirillov-Reshetikhin crystals for nonexceptional types Reviewed International coauthorship

Fourier Ghislain, Okado Masato, Schilling Anne

Advances in Mathematics   222   1080 - 1116   2009

Existence of crystals for nonexceptional types Reviewed International coauthorship

Okado Masato, Schilling Anne

Representation Theory   12   186 - 207   2008

Virtual crystals and feermionic formulas of type D n+1 (2), a 2n (2), and C n (1) Reviewed

Masato Okado, Anne Schilling, Mark Shimozono

Representation Theory   7   101 - 163   2003（ ISSN:1088-4165 ）

Virtual crystals and fermionic formulas of type D_{n+1}^{(2)}, A_{2n}^{(2)} and C_n^{(1)} Reviewed International coauthorship

M. Okado, A. Schilling and M. Shimozono

Representation Theory   7   101 - 163   2003

A tensor product theorem related to perfect crystals Reviewed International coauthorship

M. Okado, A. Schilling and M. Shimozono

Journal of Algebra   267   212 - 245   2003

Geometric crystal and tropical R for D_n^{(1)} Reviewed

A. Kuniba, M. Okado, T. Takagi and Y. Yamada

International Mathematics Research Notices   48   2565 - 2620   2003

Paths, crystals and fermionic formulae Reviewed

G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Z. Tsuboi

``MathPhys Odyssey 2001--Integrable Models and Beyond In Hornor of Barry M. McCoy", Edited by M. Kashiwara and T. Miwa, Birkhauser   205 - 272   2002

Energy functions in box ball systems Reviewed

K. Fukuda, M. Okado and Y. Yamada

International Journal of Modern Physics A   15   1379 - 1392   2000

Branching functions of A_{n-1}^{(1)} and Jantzen-Seitz problem for Ariki-Koike algebras Reviewed International coauthorship

O. Foda, B. Leclerc, M. Okado, J.-Y. Thibon and T.A. Welsh

Advances in Mathematics   141   322 - 365   1999

Remarks on fermionic formula Reviewed

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

Contemporary Mathematics   248   243 - 291   1999

Character formulae of \widehat{sl}_n-modules and inhomogeneous paths Reviewed International coauthorship

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

Nuclear Physics   B536   575 - 616   1998

Crystals for Demazure modules of classical affine Lie algebras Reviewed International coauthorship

A. Kuniba, K.C. Misra, M. Okado, T. Takagi and J. Uchiyama

Journal of Algebra   208   185 - 215   1998

Combinatorics of representations of U_q\bigl(\widehat{sl}(n)\bigr) at q=0 Reviewed International coauthorship

M. Jimbo, K.C. Misra, T. Miwa and M. Okado

Communications in Mathematical Physics   136   543 - 566   1991

Solvable lattice models related to the vector representation of classical simple Lie algebras Reviewed

M. Jimbo, T. Miwa and M. Okado

Communications in Mathematical Physics {\bf 116} (1988), 507-525.   116   507 - 525   1988

Local height probabilities and theta function identities Reviewed

E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado

Nuclear Physics   B290   231 - 273   1987

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（ Role： Sole author）

京都大学数理解析研究所  2005 

アフィンリー環の指標とべーテ仮説

尾角 正人（ Role： Sole author）

[尾角正人]  2002 

量子群の結晶基底とその応用

国場 敦夫, 尾角 正人（ Role： Sole author）

国場敦夫  2002 

デマズール加群の組合せ論的研究

尾角 正人（ Role： Sole author）

[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（ Role： Sole author）

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（ Role： Sole author）

京都大学数理解析研究所  1989 

Developments of algebraic analysis

京都大学数理解析研究所（ Role： Sole author）

京都大学数理解析研究所  1988 

代数解析学の展望

京都大学数理解析研究所（ Role： Sole author）

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（ Role： Sole author）

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（ Role： Sole author）

京都大学数理解析研究所  1986 

Demazure Modules and Perfect Crystals(共著) Reviewed

OKADO Masato

Communications in Mathematical Physics   192 ( 3 )   555 - 567   1998（ ISSN:0010-3616 ）

Characters of Demazure Modules and Solvable Lattice Models(共著) Reviewed

OKADO Masato

Nuclear Physics B   510   555   1998

A Proof of Polynomial Identities of Type ┣DAsl(/)∧┫DA(n)₁ (x) ┣DAsl(/)∧┫DA(n)₁ /┣DAsl(/)∧┫DA(n)₂ (共著) Reviewed

OKADO Masato

Journal of Mathematical Physics   37   965   1996

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) Reviewed

OKADO Masato

International Journal of Modern Physics A   9 ( 3 )   399 - 417   1994（ ISSN:0217-751X ）

Crystal Base and q-Vertex Operators(共著) Reviewed

OKADO Masato

Communications in Mathematical Physics   155 ( 1 )   47 - 69   1993（ ISSN:0010-3616 ）

Combinatorics of Representations of Uq((]G2108[)(n)) at q=o(共著) Reviewed

OKADO Masato

Communications in Mathematical Physics   136   543   1991

Quantum R Matrices Related to the Spin Representations of Bn and Dn Reviewed

OKADO Masato

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) Reviewed

尾角　正人

数学   40   1988

Solvable Lattice Models Related to the vector representation of Classical Simple Lie Algebras(共著) Reviewed

OKADO Masato

Communications in Mathematical Physics   116   1988

Solvable Lattice Models in Two Dimensions and Modular functions Reviewed

OKADO Masato

Sugaku   40   1988

Exactly solvable SOS Models : Local Height Probabilities and Theta Function Identities(共著) Reviewed

OKADO Masato

Nuclear Physics   B290   1987

Integrable systems arising from Kirillov-Reshetikhin crystals of quantum affine algebras Invited International conference

Masato Okado

SIDE 13  2018.11 

A型一般化量子群のKRクリスタル Domestic conference

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  2018.09 

アフィン非例外型のパスと艤装配位の全単射 Domestic conference

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  2018.03 

Generalized quantum groups and fusion procedure Invited International conference

Masato Okado

MATRIX program ``Non-Equilibrium Systems and Special Functions"  2018.01 

箱玉系再訪 Invited Domestic conference

尾角正人

RIMS研究集会「可積分系の数理と応用」  2017.09 

Integrable stochastic models and quantum groups Invited International conference

M. Okado

Frontiers in Mathematical Physics  2017.01 

Similarity of Kirillov-Reshetikhin crystals and its applications Invited International conference

M. Okado

ICM 2014 Satellite Conference on Representation Theory and Related Topics  2014.09 

四面体方程式と量子群 Invited Domestic conference

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  2014.09 

アフィン量子群の有限次元表現について Invited Domestic conference

尾角正人

第５７回代数学シンポジウム  2012.08 

Open problems related to Kirillov-Reshetikhin crystals Invited International conference

M. Okado

BIRS Workshop "Twenty-five years of representation theory of quantum groups"  2011.08 

X=M for large rank Invited International conference

M. Okado

ICM 2010 Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory  2010.08 

KR crystals and combinatorial R-matrices Invited International conference

M. Okado

Satellite workshop of the Isaac Newton Institute Programme on Discrete Integrable Systems "Geometric aspects of discrete and ultra-discrete integrable systems"  2009.03 

可解格子模型から生まれる組合せ論的な問題について Invited Domestic conference

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  2005.09 

Fermionic formula and related topics Invited International conference

M. Okado

Mathphys Odyssey 2001 Integrable Models and Beyond  2001.02 

Approach to the polynomials related to representation theory from quantum integrable systems

Grant-in-Aid for Challenging Research (Pioneering)/(Exploratory)  2011

Representation Theory of Quantum Groups and Integrable Systems

Grant-in-Aid for Scientific Research(C)  2008

Ultradiscrete solitons and solvable lattice models

Grant-in-Aid for Scientific Research(C)  2007

Integrable Systems and Combinatorial Representation Theory

Grant-in-Aid for Scientific Research(C)  2006

Study on the fusion products and crystalbases of level-zero representations of quantum affine algebras

Grant-in-Aid for Scientific Research(C)  2005

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

Grant-in-Aid for Scientific Research(B)  2005

A study of commutative rings of differential operators in completely integrable models and their eigenfunctions

Grant-in-Aid for Scientific Research(B)  2005

Box-ball systems and combinatorial Bethe ansatz

Grant-in-Aid for Scientific Research(B)  2005

Quantum groups and discrete integrable system

Grant-in-Aid for Scientific Research(C)  2003

Combinatorial Study of Crystal Bases and its Application to Discrete Integrable Systems

Grant-in-Aid for Scientific Research(C)  2002

Research on algebraic structures of ultradiscrete soliton equations and applications to engineering

Grant-in-Aid for Scientific Research(C)  2001

Physical Combinatorics

Grant-in-Aid for Scientific Research(A)  2001

Crystal basis in quantum groups and its applications

Grant-in-Aid for Scientific Research(C)  2000

Stochastic analysis on loop space

Grant-in-Aid for Scientific Research(C)  2000

Affine Lie algebra characters and Bethe Ansatz

Grant-in-Aid for Scientific Research(C)  1999

Combinatorial Studies of Demazure Modules

Grant-in-Aid for Scientific Research(C)  1997

Mathematics of Symmetry

Grant-in-Aid for Scientific Research(A)  1996

量子群の対称性による量子スピン鎖模型の解析

奨励研究(A)  1995

マルコフ過程の汎関数の分解とその応用

一般研究(C)  1995

可逆マルコフ過程の関数解析的研究

一般研究(C)  1994

スクリャ-ニン代数と可解格子模型

Grant-in-Aid for Scientific Research on Priority Areas  1994

量子群の可解格子模型への応用

奨励研究(A)  1993

量子群と可解格子模型

Grant-in-Aid for Scientific Research on Priority Areas  1992

可解格子模型の代数的研究

奨励研究(A)  1991

統計的推測に関連する最適化理論の研究

一般研究(C)  1990

数学特別研究4A

2024   Intensive lecture   Graduate school

数学特別研究3A

2024   Intensive lecture   Graduate school

常微分方程式

2024   Weekly class   Graduate school

線形代数1

2024   Weekly class   Graduate school

代数学講義Ⅱ

2024   Weekly class   Undergraduate

線形代数1

2023   Weekly class   Undergraduate

初年次ゼミナール

2023   Weekly class   Undergraduate

代数学2演習

2023   Weekly class   Undergraduate

代数学2

2023   Weekly class   Undergraduate

数理科学A

2019     Graduate school

線形代数II

2019     Undergraduate

代数学I演習

2019     Undergraduate

代数学I

2019     Undergraduate

代数学Ⅱ

2018     Undergraduate

代数学Ⅱ演習

2018     Undergraduate

線形代数Ⅱ

2018     Undergraduate

線形代数Ｉ

2018     Undergraduate

線形代数Ⅱ

2017     Undergraduate

線形代数Ｉ

2017     Undergraduate