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KONNO HITOSI

Job title: Professor
Department: Department of Logistics and Information Engineering
Degree: Doctor
Major: 理学

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Researcher ID Researchmap OACIS著者情報

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Research Interests 【 display / non-display 】

  • 数理物理学

  • 量子群の表現論

  • 量子可積分系

  • 楕円量子群

  • Elliptic Quantum Group

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Research Areas 【 display / non-display 】

  • Natural Science / Algebra

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Papers 【 display / non-display 】

  • Elliptic Quantum Groups

    Hitoshi Konno , 2024

    Encyclopedia of Mathematical Physics 2nd edition

    DOI

  • Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations

    Hitoshi Konno, Kazuyuki Oshima , 2024

    Algebras and Representation Theory

    DOI

  • Elliptic Quantum Toroidal Algebra Uq,t,p(gl1,tor) and Affine Quiver Gauge Theories

    Kazuyuki Oshima , 2021.12

    arXiv:2112.09885

  • Elliptic Stable Envelopes and Finite-dimensional Representations of Elliptic Quantum Group

    KONNO Hitoshi , 2018.09

    Journal of Integrable Systems

    DOI

  • U_q,p(gl_N^) and E_q,p(gl_N^)

    Konno Hitoshi , 2018

    Advanced Studies in Pure Mathematics

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Books 【 display / non-display 】

  • Elliptic Quantum Groups : Representations and Related Geometry-

    Hitoshi Konno , 2020.09

    Springer

  • Representation theory, special functions and Painlevé equations : RIMS 2015

    今野 均, 坂井 秀隆, 白石 潤一, 鈴木 貴雄, 山田 泰彦 , 2018

    Mathematical Society of Japan , 0-0

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Grant-in-Aid for Scientific Research 【 display / non-display 】

  • Geometric Representations of the Elliptic Quantum Toroidal Algebras

    Project Period (FY)： 2023/04  -  2026/03  Investigator(s): 今野均

    Grant-in-Aid for Scientific Research(C)  Principal Investigator  23K03029 

  • Representation theory of elliptic quantum groups and symplectic duality

    Project Period (FY)： 2020/04  -  2023/03  Investigator(s): 今野 均

    Grant-in-Aid for Scientific Research(C)  Principal Investigator  20K03507 

  • Gelfand-Tsetlin basis and geometric representations of elliptic quantum groups

    Project Period (FY)： 2017/04  -  2020/03  Investigator(s): Konno Hitoshi

    Grant-in-Aid for Scientific Research(C)  Principal Investigator  17K05195 

    Elliptic weight functions have been derived by using the vertex operators of the elliptic quantum group U_{q,p}(sl_N), and identified with Okounkov’s elliptic stable envelopes on the equivariant elliptic cohomology Ell_T(X) for the cotangent bundle X of the partial flag variety. Defining the fixed point classes on Ell_T(X) in terms of the stable classes and basing on this identification, we have shown that the finite dimensional representation of U_{q,p}(sl_N) on the Gelfand-Tsetlin basis can be lifted to the geometric representation on the fixed point classes. Furthermore a formulation of the elliptic quantum toroidal algebras and a construction of their representations have been done. A conjecture on their geometric interpretation has also been obtained.

  • 楕円量子群の表現による楕円Ruijsenaars模型の解析

    Project Period (FY)： 2014/04  -  2017/03 

    Grant-in-Aid for Scientific Research(C)  Principal Investigator  26400046 

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Lesson Subject 【 display / non-display 】

  • Lesson Subject（Undergraduate）

    確率論

  • 線形代数Ⅰ

  • 線形代数Ⅱ

  • 複素解析

  • Lesson Subject（Graduate School）

    Mathematical Sciences

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