Rei Inoue

Profile Information

Affiliation: Chiba University

Degree: PhD(Mar, 2001, The University of Tokyo)

J-GLOBAL ID: 201801006804549320
researchmap Member ID: B000328031

External link

Education

Apr, 1998 - Mar, 2001

Department of Physics, Graduate School of Science, The University of Tokyo

Papers

Invariants of Weyl Group Action and q-characters of Quantum Affine Algebras

Rei Inoue, Takao Yamazaki

Algebras and Representation Theory, May 9, 2023
Cluster realizations of Weyl groups and q-characters of quantum affine algebras

Rei Inoue

Lett. Math. Phys., 111(1), 2021 Peer-reviewed
Cluster realizations of Weyl groups and higher Teichmuller theory

Rei Inoue, Tsukasa Ishibashi, Hironori Oya

Selecta Mathematica, 27(37), 2021 Peer-reviewed
Soliton cellular automata associated with infinite reduced words

Max Glick, Rei Inoue, Pavlo Pylyavskyy

Annales de L'Institut Henri Poincare D, 2 249-302, 2020 Peer-reviewed
On the cluster nature and quantization of geometric $R$-matrices

Rei Inoue, Thomas Lam, Pavlo Pylyavskyy

Publ. RIMS, 55 25-78, 2019 Peer-reviewed
Toric Networks, Geometric R-Matrices and Generalized Discrete Toda Lattices

Rei Inoue, Thomas Lam, Pavlo Pylyayskyy

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 347(3) 799-855, Nov, 2016 Peer-reviewed
Braids, complex volume and cluster algebras

Kazuhiro Hikami, Rei Inoue

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 15(4) 2175-2194, 2015 Peer-reviewed
Algebraic integrable systems related to spectral curves with automorphisms

Rei Inoue, Pol Vanhaecke, Takao Yamazaki

JOURNAL OF GEOMETRY AND PHYSICS, 87 198-216, Jan, 2015 Peer-reviewed
Discrete Painleve equations from Y-systems

Andrew N. W. Hone, Rei Inoue

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 47(47) 474007, Nov, 2014 Peer-reviewed
CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS

Kazuhiro Hikami, Rei Inoue

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 23(1), Jan, 2014 Peer-reviewed
Periodicities of T-systems and Y-systems, Dilogarithm Identities, and Cluster Algebras I: Type B-r

Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 49(1) 1-42, Mar, 2013 Peer-reviewed
Periodicities of T-systems and Y-systems, Dilogarithm Identities, and Cluster Algebras II: Types C-r, F-4, and G(2)

Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 49(1) 43-85, Mar, 2013 Peer-reviewed
Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry

Rei Inoue, Atsuo Kuniba, Taichiro Takagi

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 45(7), Feb, 2012 Peer-reviewed
Tropical curves and integrable piecewise linear maps

Rei Inoue, Shinsuke Iwao

TROPICAL GEOMETRY AND INTEGRABLE SYSTEMS, 580 21-+, 2012 Peer-reviewed
TROPICAL SPECTRAL CURVES, FAY'S TRISECANT IDENTITY, AND GENERALIZED ULTRADISCRETE TODA LATTICE

Rei Inoue, Shinsuke Iwao

NEW TRENDS IN QUANTUM INTEGRABLE SYSTEMS, 101-116, 2011 Peer-reviewed
Difference equations and cluster algebras I: Poisson bracket for integrable difference equations

Rei Inoue, Tomoki Nakanishi

INFINITE ANALYSIS 2010: DEVELOPMENTS IN QUANTUM INTEGRABLE SYSTEMS, B28 63-88, 2011 Peer-reviewed
Singular Fiber of the Mumford System and Rational Solutions to the KdV Hierarchy

Rei Inoue, Pol Vanhaecke, Takao Yamazaki

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 63(4) 508-532, Apr, 2010 Peer-reviewed
PERIODICITIES OF T-SYSTEMS AND Y-SYSTEMS

Rei Inoue, Osamu Iyama, Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki

NAGOYA MATHEMATICAL JOURNAL, 197 59-174, Mar, 2010 Peer-reviewed
A Tropical Analogue of Fay's Trisecant Identity and the Ultra-Discrete Periodic Toda Lattice

Rei Inoue, Tomoyuki Takenawa

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 289(3) 995-1021, Aug, 2009 Peer-reviewed
Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic

Rei Inoue, Tomoyuki Takenawa

RIMS Kokyuroku Bessatsu, B13, 175 - 190, 13 175-190, 2009 Peer-reviewed

Misc.

団代数とYシステム (特集団代数をめぐって : 新たな共通構造の認識)

井上玲

数理科学, 53(3) 33-38, Mar, 2015
Cluster Algebra and Complex Volume (Intelligence of Low-dimensional Topology)

HIKAMI Kazuhiro, INOUE Rei

RIMS Kokyuroku, 1866 120-134, Dec, 2013
可積分系と幾何学--等位集合の形と代数幾何 (特集可積分系の世界--数理物理を語るための知のツール)

井上玲

数理科学, 47(11) 18-23, Nov, 2009
超離散系に付随するトロピカルスペクトル曲線とテータ関数 (可積分数理の新潮流)

井上玲, 岩尾慎介, 竹縄知之

数理解析研究所講究録, 1650 41-58, May, 2009
The link among classical, quantum and combinatorial integrable dynamical systems (Combinatorial Aspect of Integrable Systems)

Inoue Rei

RIMS Kokyuroku, 1429 70-85, Apr, 2005
25aWG-10 The lattice Toda field theory for finite-dimensional Lie algebras

Inoue R., Hikami K.

Meeting abstracts of the Physical Society of Japan, 55(2) 272-272, Sep 10, 2000
Supersymmetric Extention of the Box-ball System

Inoue R., Hikami K.

Meeting abstracts of the Physical Society of Japan, 55(1) 216-216, Mar 10, 2000
The Lattice W Algebra and Bogoyavlensky Lattice

INOUE R., HIKAMI K., SOGO K., WADATI M.

Meeting abstracts of the Physical Society of Japan, 53(2) 916-916, Sep 5, 1998
Integrable Structure of the Hungry-Volterra Model

INOUE R., HIKAMI K., WADATI M.

Meeting abstracts of the Physical Society of Japan, 53(1) 774-774, Mar 10, 1998
7p-YB-12 Discritization of N-reduced KP equaiton and the lattice W_N algebra

Inoue R., Hikami K., Wadati M.

Meeting abstracts of the Physical Society of Japan, 52(2) 903-903, Sep 16, 1997

Books and Other Publications

ヤング・タブロー : 表現論と幾何への応用

Fulton, William, 池田, 岳, 井上, 玲, 岩尾, 慎介

丸善出版, Jun, 2019 (ISBN: 9784621303894)

Presentations

クラスター代数と双曲幾何

井上玲

Encounter with Mathematics (Chuo University, Tokyo), Mar, 2022 Invited
Cluster algebras and its applications to rational maps

Rei Inoue

The 2022 ANZAMP meeting (Zoom), Feb, 2022 Invited
クラスター代数とその広がり

井上玲

第66回代数学シンポジウム (Zoom), Sep, 2021 Invited
Cluster realization of Weyl groups and its applications

Nov, 2020
R-matrices in cluster algebras

Rei Inoue

Baxter 2020: Frontiers in Integrability (ANU, Canberra), Feb, 2020 Invited
Cluster realizations of Weyl groups and their applications

Rei Inoue

ISLAND V (ICMS, Isle of Skye), Jun, 2019 Invited
Cluster realizations of Weyl groups and their applications

Rei Inoue

Cluster Algebras 2019 (RIMS), Jun, 2019 Invited
Cluster realization of Coxeter groups and its application

Rei Inoue

Sep, 2018 Invited
Networks on surfaces and integrable systems

Rei Inoue

Infinite Analysis 18 Spring School (Nagoya), May, 2018 Invited
R-matrices in cluster algebra

Rei Inoue

Cluster Algebras: Twenty Years On (CIRM, Luminy), Mar, 2018 Invited
Cellular automata for reduced words in the affine symmetric group

Rei Inoue

Integrable Systems 2017 (Sydney), Dec, 2017 Invited
Networks on a cylinder and discrete integrable systems

Rei Inoue

New development in Teichmuller space theory (OIST, Okinawa), Nov, 2017 Invited
An application of cluster algebra to hyperbolic geometry

Rei Inoue

リーマン面に関連する位相幾何学 (Tokyo), Sep, 2017 Invited
Cluster algebraic structure of geometric R-matrices

Rei Inoue

Algebraic Lie Theory and Representation Theory (ALTReT) 2017 (Teijin Academy Fuji, Shizuoka), Jun, 2017
Cluster braiding operator and Kashaev's R-matrix

Rei Inoue

Workshop on Volume Conjecture and Quantum Topology (Waseda, Tokyo), Sep, 2016 Invited
The cluster structure of geometric R-matrices

Rei Inoue

5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Numbers, and Cohomological field theories (Moscow), Jun, 2016 Invited
Double affine symmetric group action on the toric network and generalized disctete Toda lattice

Rei Inoue

Topics on tropical geometry, integrable systems and positivity (Aoyama Gakuin, Kanagawa), Dec, 2015 Invited
Cluster algebra and knot invariants

Rei Inoue

Braids, Configuration Spaces, and Quantum Topology (Tokyo), Sep, 2015 Invited
Degenerate exchange matrices and Y-systems

Rei Inoue

可積分系理論の諸分野への応用 (RIMS, Kyoto), Aug, 2015 Invited
Double affine symmetric group antion on the toric network and generalized disctete Toda lattice

Rei Inoue

Integrability in algebra, geometry and physics: New trends (Congressi Stefano Franscini, Switzerland), Jul, 2015 Invited

Professional Memberships

THE MATHEMATICAL SOCIETY OF JAPAN

Research Projects

Study on the integrable structure of ultradiscrete systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2009 - Mar, 2013

TOKIHIRO Tetsuji, OKAMOTO Kazuo, UIROKKUSU Rarufu, SAKAI Hidetaka, IZUMI Makoto, TAKENAWA Tomoyuki, INOUE Rei

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