Updated on 2024/10/07

写真b

 
SAITO Yoshihisa
 
*Items subject to periodic update by Rikkyo University (The rest are reprinted from information registered on researchmap.)
Affiliation*
College of Science Department of Mathematics
Graduate School of Science Doctoral Program in Mathematics
Graduate School of Science Master's Program in Mathematics
Title*
Professor
Degree
博士(理学) ( 京都大学 )
Campus Career*
  • 4 2017 - Present 
    College of Science   Department of Mathematics   Professor
  • 4 2017 - Present 
    Graduate School of Science   Master's Program in Mathematics   Professor
  • 4 2017 - Present 
    Graduate School of Science   Doctoral Program in Mathematics   Professor
 

Research Areas

  • Natural Science / Algebra

Research History

  • 4 2017 - Present 
    RIKKYO UNIVERSITY   College of Science Department of Mathematics   Professor

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  • 4 2017 - Present 
    RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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  • 4 2017 - Present 
    RIKKYO UNIVERSITY   Graduate School of Science Field of Study: Mathematics   Professor

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  • 4 2001 - 3 2017 
    The University of Tokyo   Graduate School of Mathematical Sciences

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  • 6 1997 - 3 2001 
    広島大学   理学研究科   助手

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Education

  • - 3 1997 
    Kyoto University   Graduate School, Division of Natural Science

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    Country: Japan

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Papers

  • Quantized coordinate rings, PBW-type bases and q-boson algebras Peer-reviewed

    Yoshihisa Saito

    JOURNAL OF ALGEBRA453   456 - 491   5 2016

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:ACADEMIC PRESS INC ELSEVIER SCIENCE  

    In [7], Kuniba, Okado and Yamada proved that the transition matrix of a PBW-type basis of the positive-half of the quantized universal enveloping algebra U-q(g) coincides with a matrix of the intertwiner between certain irreducible modules over the quantized coordinate ring A(q)(g) introduced by Soibelman [13]. In the present article, we give a new proof of their result, by using representation theory of the q-boson algebra, and the Drinfeld pairing of U-q(g). (C) 2016 Elsevier Inc. All rights reserved.

    DOI: 10.1016/j.jalgebra.2016.01.007

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  • Toward Berenstein-Zelevinsky data in affine type A, I: Construction of affine analogs Peer-reviewed

    Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito

    Contemporary of Mathematics565   143 - 184   2012

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • Toward Berenstein-Zelevinsky data in affine type A, II: Expicit description Peer-reviewed

    Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito

    Contemporary of Mathematics565   185 - 216   2012

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • Toward Berenstein-Zelevinsky data in affine type A, III: Proof of the connectedness Peer-reviewed

    Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito

    Symmetries, Integrable Systems and Representations   361 - 402   2012

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • Mirkovic-Vilonen Polytopes and a Quiver Construction of Crystal Basis in Type A Peer-reviewed

    Yoshihisa Saito

    INTERNATIONAL MATHEMATICS RESEARCH NOTICES2012 ( 17 ) 3877 - 3928   2012

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:OXFORD UNIV PRESS  

    In the current paper, we give a quiver theoretical interpretation of Mirkovic-Vilonen (MV) polytopes in type A(n). As a by-product, we give a new proof of the Anderson-Mirkovic conjecture that describes the explicit forms of the actions of lowering Kashiwara operators on the set of MV polytopes.

    DOI: 10.1093/imrn/rnr173

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Books and Other Publications

  • Algebraic Analysis and Around

    Tetsuji Miwa, Atsushi Matsuo, Toshiki Nakashima, Yoshihisa Saito( Role: Joint editor)

    World Scientific  2009 

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    Language:English Book type:Scholarly book

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Presentations

  • On Elliptic Artin Groups Invited

    MSJ spring meeting 2020, Infinite Analysis  3 2020 

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    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Nihon University  

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  • Artin groups associated with elliptic root systems Invited International conference

    Yoshihisa Saito

    Conference on Algebraic Representation Theory 2019  11 2019 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Department of Mathematics, National Tsing Hua University (Taiwan).  

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  • Elliptic Artin groups Invited International conference

    Yoshihisa Saito

    Arbeitsgruppe Algebra und Zahlentheorie Seminare  10 2019 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Mathematisches Institut, University of Cologue (Germany)  

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  • Elliptic Artin groups Invited International conference

    Yoshihisa Saito

    Geometry and Integrable Systems  4 2019 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Institut de Mathéamatiques de Bourgogne (France)  

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  • On quantum toroidal algebras associated with arbitrary root systems Invited International conference

    Yoshihisa Saito

    Arbeitsgruppe Algebra und Zahlentheorie Seminare  6 2018 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Mathematisches Institut, University of Cologue (Germany)  

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Research Projects

  • 量子群の幾何学的研究とその応用

    日本学術振興会  科学研究費助成事業 

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    4 2016 - Present

    Grant type:Competitive

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  • 量子群および多元環の表現論の幾何学的研究

    日本学術振興会  科学研究費助成事業 

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    4 2012 - 3 2016

    Grant type:Competitive

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  • 量子群の幾何学的研究およびその多元環の表現論への応用

    日本学術振興会  科学研究費助成事業 

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    4 2008 - 3 2012

    Grant type:Competitive

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  • アフィン量子群の表現論の幾何学的研究

    日本学術振興会  科学研究費助成事業 

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    4 2005 - 3 2008

    Grant type:Competitive

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  • 量子群の表現論の幾何学的研究

    日本学術振興会  科学研究費助成事業 

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    4 2002 - 3 2005

    Grant type:Competitive

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