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Mathematics

D-Index
37
Citations
5410
World Ranking
2516
National Ranking
41

Overview

Masato Okado is affiliated with Osaka Metropolitan University in Japan, specializing in the field of Mathematics with a focus on Geometry and Topology, Algebra and Number Theory, and Mathematical Physics. Their research contributions span several interconnected subfields, including Statistical and Nonlinear Physics, and Nuclear and High Energy Physics.

The main topics of Masato Okado's work incorporate algebraic structures and combinatorial models, advanced topics in algebra, advanced algebra and geometry, nonlinear waves and solitons, as well as black holes and theoretical physics. These topics reveal a strong emphasis on abstract mathematical frameworks and their applications to physical theories.

Frequent coauthors collaborating with Okado include Hiroto Kusano, Jae-Hoon Kwon, Sin-Myung Lee, Ryo Takenaka, and Hideya Watanabe. Collaborations with these researchers have resulted in publications across multiple scholarly venues.

Okado's published papers cover a range of topics within the broader scope of quantum algebra and representation theory. Notable recent papers include:

  • "Parafermionic Bases of Standard Modules for Twisted Affine Lie Algebras of Type A_{2l-1}^{(2)}, D_{l+1}^{(2)}, E_{6}^{(2)} and D_{4}^{(3)}", 2022, Algebras and Representation Theory
  • "Kirillov-Reshetikhin Modules of Generalized Quantum Groups of Type A", 2021, Publications of the Research Institute for Mathematical Sciences

Other closely related works authored by frequent coauthors and connected to Okado's research field include:

  • "Oscillator Representations of Quantum Affine Orthosymplectic Superalgebras", 2024, Communications in Mathematical Physics
  • "Kirillov-Reshetikhin modules and quantum K-matrices", 2022, arXiv (Cornell University)
  • "Kirillov-Reshetikhin Modules and Quantum K-matrices", 2024, Communications in Mathematical Physics

Okado's work appears extensively in key publication venues such as arXiv (Cornell University), Communications in Mathematical Physics, Algebras and Representation Theory, Publications of the Research Institute for Mathematical Sciences, and Communications in Algebra. This indicates a consistent presence in both preprint archives and peer-reviewed journals relevant to advanced algebra and mathematical physics.

Best Publications

  • Exactly solvable SOS models: local height probabilities and theta function identities

    E. Date;M. Jimbo;A. Kuniba;T. Miwa

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

    Michio Jimbo;Tetsuji Miwa;Masato Okado

  • Local state probabilities of solvable lattice models: An An−1(1) family

    Michio Jimbo;Tetsuji Miwa;Masato Okado

  • Remarks on fermionic formula

    G. Hatayama;Y. Yamada;M. Okado;T. Takagi

  • Paths, crystals and fermionic formulae

    Goro Hatayama;Atsuo Kuniba;Masato Okado;Taichiro Takagi

  • Fusion of the eight vertex SOS model

    Etsuro Date;Michio Jimbo;Tetsuji Miwa;Masato Okado

  • Solvable lattice models whose states are dominant integral weights of A it?1 (1)

    Michio Jimbo;Tetsuji Miwa;Masato Okado

  • Exactly Solvable SOS Models II: Proof of the star-triangle relation and combinatorial identities

    E. Date;M. Jimbo;A. Kuniba;T. Miwa

  • Combinatorics of representations of\(U_q (\widehat{\mathfrak{s}\mathfrak{l}}(n))\) atq=0

    Michio Jimbo;Kailash C. Misra;Tetsuji Miwa;Masato Okado

  • The A n /(1) face models

    M. Jimbo;A. Kuniba;T. Miwa;M. Okado

  • ENERGY FUNCTIONS IN BOX BALL SYSTEMS

    Kaori Fukuda;Yasuhiko Yamada;Masato Okado

  • CALCULATION OF EXCITATION SPECTRA OF THE SPIN MODEL RELATED WITH THE VECTOR REPRESENTATION OF THE QUANTIZED AFFINE ALGEBRA OF TYPE $A_n^{(1)} $

    Etsuro Date;Masato Okado

  • Automorphic properties of local height probabilities for integrable solid-on-solid models.

    E. Date;M. Jimbo;T. Miwa;M. Okado

  • Energy Functions in Box Ball Systems

    Kaori Fukuda;Masato Okado;Yasuhiko Yamada

  • One-dimensional configuration sums in vertex models and affine Lie algebra characters

    E. Date;M. Jimbo;A. Kuniba;T. Miwa

  • Existence of Kirillov–Reshetikhin crystals for nonexceptional types

    Masato Okado;Anne Schilling

  • Crystal interpretation of Kerov–Kirillov–Reshetikhin bijection

    Atsuo Kuniba;Masato Okado;Reiho Sakamoto;Taichiro Takagi

  • Kirillov–Reshetikhin crystals for nonexceptional types

    Ghislain Fourier;Masato Okado;Anne Schilling

  • Crystal base and q-vertex operators

    Etsuro Date;Michio Jimbo;Masato Okado

  • Scattering rules in soliton cellular automata associated with crystal bases

    G. Hatayama;A. Kuniba;M. Okado;T. Takagi

  • Branching Functions ofA(1)n−1and Jantzen–Seitz Problem for Ariki–Koike Algebras

    Omar Foda;Bernard Leclerc;Masato Okado;Jean-Yves Thibon

Frequent Co-Authors

Atsuo Kuniba
Atsuo Kuniba University of Tokyo
Michio Jimbo
Michio Jimbo Rikkyo University
Mark Shimozono
Mark Shimozono Virginia Tech
Tetsuji Miwa
Tetsuji Miwa Kyoto University
Masaki Kashiwara
Masaki Kashiwara Kyoto University
Bernard Leclerc
Bernard Leclerc Université de Caen Normandie
Jean-Yves Thibon
Jean-Yves Thibon Gustave Eiffel University
Alexander P. Veselov
Alexander P. Veselov Loughborough University
Boris Feigin
Boris Feigin Hebrew University of Jerusalem
David Kazhdan
David Kazhdan Hebrew University of Jerusalem

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