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MIKI Kei  三木 敬

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… Alternative Names

三木 敬  ミキ ケイ

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Researcher Number 40212229
Other IDs
Affiliation (based on the past Project Information) *help 2007 – 2009: 大阪大学, 大学院・情報科学研究科, 准教授
2006: Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 助教授
2004 – 2005: 大阪大学, 大学院・情報科学研究科, 助教授
2000 – 2001: Graduate School of Science, Osaka University Associate Prof., 大学院・理学研究科, 助教授
1998: Osaka Univ.Grad.School of Sci.Associate Professor, 大学院・理学研究科, 助教授 … More
1997: 大阪大学, 大学院・理学研究科, 講師
1995: 大阪大学, 理学部, 講師
1992 – 1993: 大阪大学, 基礎工学部, 講師 Less
Review Section/Research Field
Principal Investigator
Global analysis
Except Principal Investigator
Algebra / Algebra / Global analysis
Keywords
Principal Investigator
量子群 / 形状因子 / Virasoro algebra / Difference operator / Toroidal Lie algebra / Quantum group / 可積分表現 / トロイダル リー代数 / ヴィラソロ代数 / 差分演算子 … More / トロイダルリー代数 / 可積分な模型 / 可積分な場の理論 / 可解格子模型 … More
Except Principal Investigator
量子群 / Z / 結び目 / 表現論 / 頂点作用素代数 / 超幾何函数 / Hypergeometric equations / Monodromy / The Painleve equations / 超幾何方程式 / 超幾何微分方程式 / モノドロミ / パンルヴェ方程式 / Word problem of semigroups / Coxeter groupoids / Coxeter groups / 3Z quantum groups / Super quantum groups / Elliptic quantum groups / Elliptic Lie superalgebras / Elliptic Lie algebras / 楕円ルート系 / 楕円リー起代数 / 楕円リー超代数 / 半群の語問題 / コクセター群半群 / コクセター群 / 3Z量子群 / スーパー量子群 / 楕円量子群 / 楕円超リー代数 / 楕円リー代数 / knot invariants / quantum groups / complex reflection groups / finite Chevalley groups / Hecke algebras / affine Lie algebras / 代数群 / 結び目不変量 / 複素鏡映群 / 有限シュヴァレー群 / ヘッケ環 / アフィン・リー代数 / finite type invariant / quantum invariant / vertey operator algebra / representation theory / 3-dimensional manifold / Knot theory / Riemann surface / 量子摂動不変量 / ウェブ図 / 写像類群 / 有限群 / 双曲幾何 / 双曲構造 / 共形場理論 / 3次元多様体 / 低次元位相幾何 / 有限型不変量 / 量子不変量 / 3次元多様体論 / 結び目理論 / リーマン面 / L operators / vertex operator algebra / semilinear elliptic equation / Schrodinger operator / Schur function / nilpotent Lie algebras / Onsager algebra / 巾零リー環 / 可解リー環 / 完全積分可能系 / principal realization / A^<(1)>_1 / L作用素 / 準線型楕円型方程式 / ミュレディンガー作用素 / Schur関数 / 冪零リー環 / オンサーガー代数 / Nichols代数 / スーパーLie代数 / 無限次元Lie代数 / ホップ代数 / スーパー代数 / ニコルス代数 / ワイル亜群 / 粘性流体 / ソリトン / 箱玉系 / Macdonald多項式 / 一般化超幾何微分方程式 / Bethe仮説 / 可解格子模型 / 一般超幾何微分方程式 / 可積分系 / 楕円モジュラー函数 / 半線形楕円型方程式 / 加法的汎関数の分布 / ブラウン運動 / スミルノフ型の積分表示 / ティリング模型 / スピン鎖 / オンサーガ-代数 / 教理物理学 / 統計物理学 / リー環 / 格子模型 Less
  • Research Projects

    (12 results)
  • Research Products

    (31 results)
  • Co-Researchers

    (25 People)
  •  Generalized quantum groups, including super and elliptic ones, and Weyl groupoids

    • Principal Investigator
      YAMANE Hiroyuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  A study of commutative rings of differential operators in completely integrable models and their eigenfunctions

    • Principal Investigator
      DATE Etsuro
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  Elliptic Lie (super)algebras, affine Lie superalgebras and their quauntum groupsand their representation theories

    • Principal Investigator
      YAMANE Hiroyuki
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  The Painleve functions with solvable monodromy

    • Principal Investigator
      OHYAMA Yosuke
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  The study of quantum toroidal algebrasPrincipal Investigator

    • Principal Investigator
      MIKI Kei
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  Representation theory of Algebraic Groups and Quantum Groups

    • Principal Investigator
      KAWANAKA Noriaki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Quantum structure of Riemann surfaces and its application to low-climensional topology

    • Principal Investigator
      MURUKAMI Jun
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Completely integrable systema and representation theory of infinite dimen-sional algebras

    • Principal Investigator
      DATE Etsuro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  可積分な模型の形状因子Principal Investigator

    • Principal Investigator
      三木 敬
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  オンサーガ-代数の表現論の研究

    • Principal Investigator
      DATE Etsuro
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  可解格子模型と可積分な場の理論Principal Investigator

    • Principal Investigator
      三木 敬
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  量子群と可解格子模型

    • Principal Investigator
      OKADO Masato
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University

All 2007 2006 2005 2004

All Journal Article

  • [Journal Article] A (q,Y)analog of the W_<1+∞> algebra,2007

    • Author(s)
      K. Miki
    • Journal Title

      J. Math. Phys. 48

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540027
  • [Journal Article] A (q,γ) analog of the W_1+∞ algebra2007

    • Author(s)
      三木 敬
    • Journal Title

      Journal of Mathematical Physics 48

      Pages: 123520-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340046
  • [Journal Article] A (q, γ) analog of the W_<1+∞> algebra2007

    • Author(s)
      Kei Miki
    • Journal Title

      Journal of Mathematical Physics vol.48

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340046
  • [Journal Article] Some quotient algebras arising from the quantum Toroidal algebra $U_q(sl_{n+1}({cal C}_gamma))$ $(nge 2)$2006

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J. Math. 43

      Pages: 895-922

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra2006

    • Author(s)
      三木 敬
    • Journal Title

      Osaka Journal of Mathematics 43

      Pages: 895-922

    • Data Source
      KAKENHI-PROJECT-17340046
  • [Journal Article] Some quotient algebras arising from the quantum Toroidal algebra $U_q(s1_{n+1}({ca1 C}_gamma))$ $(nge 2)$2006

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J. Math. 43

      Pages: 895-922

    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Some quotient algebras arisingfrom the quantum toroidal algebra $U_q(sl_{n+1}{cal C}_Lgamma))$ $(nge 2)$2006

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J.Math. 43

      Pages: 895-922

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q (sl_{n+l} (C gamma)) (n≧2)2006

    • Author(s)
      K.Miki
    • Journal Title

      Osaka Journal of Mathematics 43

      Pages: 895-922

    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra Uq(sln+1 (Cγ)) (n≧2)2006

    • Author(s)
      Miki, Kei
    • Journal Title

      Osaka J. Math. 43

      Pages: 895-922

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(Sl_<n+1>(C_γ)) (n≧2)2006

    • Author(s)
      Miki, Kei
    • Journal Title

      Osaka J. Math. 43

      Pages: 895-922

    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(sl_{n+1}(C_\ gamma)) (n≧2)2006

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J.Math. 43

      Pages: 895-922

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra Uq(sln+1(Cγ) (n≧2),2006

    • Author(s)
      Kei Miki
    • Journal Title

      Osaka J.Math. 43

      Pages: 895-922

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(sl_{n+1} (C_gamma)) (n≧2)2006

    • Author(s)
      K.Miki
    • Journal Title

      Osaka Journal of Mathematics 43

      Pages: 895-922

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra Uq(sl2(Cγ))2005

    • Author(s)
      Miki, Kei
    • Journal Title

      Osaka J. Math. 42

      Pages: 885-929

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(sl_2(C_gamma))2005

    • Author(s)
      K.Miki
    • Journal Title

      Osaka Jour.Math. 42

      Pages: 885-929

    • Data Source
      KAKENHI-PROJECT-17340046
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra Uq(s12(Cγ)).2005

    • Author(s)
      Miki, Kei
    • Journal Title

      Osaka J.Math. 42

      Pages: 885-929

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra $U_q(s1_{n+1}({cal C}_gamma))$2005

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J.Math. 42

      Pages: 885-929

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(sl_2(C_gamma))2005

    • Author(s)
      K.Miki
    • Journal Title

      Osaka Journal of Mathematics 42

      Pages: 885-929

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(sl_2(C_γ))2005

    • Author(s)
      Kei Miki
    • Journal Title

      Osaka Journal of Mathematics 42

      Pages: 885-929

    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Some quotient algebras arising from the quantum toroidal $U_q(sl_2(C_gamma))$2005

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J. Math. 42

      Pages: 885-929

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(sl_2(C_γ))2005

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J.Math. 42

      Pages: 885-929

    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Some quotient algebras arising from the quantum toroidal algebra U_q(sl_2(C_\gamma))2005

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J.Math. 42

      Pages: 885-929

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Integrable irreducible highest weight modules for ${D\rm sl}\sb 2(\bold C\sb p[x\sp{±1},y\sp{±1}])$.2004

    • Author(s)
      Miki, Kei
    • Journal Title

      Osaka J.Math. 41 no.2

      Pages: 295-326

    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Integrable irreducible highest weight modules for sl_2(C_p[x^{\pm 1},y^{\pm 1}])2004

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J.Math. 41

      Pages: 295-326

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Integrable irreducible highest weight modules for $sI_2(C_pIx^{pm 1},y^{pm 1}])$2004

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J.Math. 41

      Pages: 295-326

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Integrable irreducible highest weight modules for s12(Cp[x±1, y±1)$.2004

    • Author(s)
      Miki, Kei
    • Journal Title

      Osaka J.Math. 41

      Pages: 295-326

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540191
  • [Journal Article] Integrable irreducible highest weight modules for $sl_2(C_p[x^{pm 1}, y^{pm 1}])$2004

    • Author(s)
      K.Miki
    • Journal Title

      Osaka J. Math. 41

      Pages: 295-326

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Integrable irreducible highest weight modules for sl_2 C_p[x^<±1>,y^<±1>]2004

    • Author(s)
      三木 敬
    • Journal Title

      Osaka J.Math. 41・2

      Pages: 295-326

    • Data Source
      KAKENHI-PROJECT-16540026
  • [Journal Article] Integrable irreducible highest weight modules for sl_2(C_p[x^{pm 1}, y^{pm 1}]).2004

    • Author(s)
      K.Miki
    • Journal Title

      Osaka Journal of Mathematics 41

      Pages: 295-326

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Integrable irreducible highest weight modules for sl_2(Cp[x^<±1>,y^<±1>])2004

    • Author(s)
      Kei Miki
    • Journal Title

      Osuka Journal of Mathematics 141

      Pages: 295-326

    • Data Source
      KAKENHI-PROJECT-16540192
  • [Journal Article] Integrable irreducible highest weight modules for sl2(Cp[x±1, y±1)$2004

    • Author(s)
      Miki, Kei
    • Journal Title

      Osaka J. Math. 41

      Pages: 295-326

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540191
  • 1.  DATE Etsuro (00107062)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 2.  KAWANAKA Noriaki (10028219)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  YAMANE Hiroyuki (10230517)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  NAGATOMO Kiyokazu (90172543)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  OHYAMA Yousuke (10221839)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  OKADO Masato (70221843)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  MURUKAMI Jun (90157751)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  SUZUKI Tkashi (40114516)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  KOTANI Shin'ichi (10025463)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  KOMATSU Gen (60108446)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  NOUMI Masatoshi (80164672)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  UNO Katsuhiro (70176717)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  HIBI Takayuki (80181113)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  内田 素夫 (10221805)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  厚地 淳 (00221044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  SAKUMA Makoto (30178602)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  山田 修司 (30192404)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  今野 一宏 (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  落合 豊行 (70016179)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  和久井 道久 (60252574)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  ARIKI Susumu (40212641)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  TANISAKI Toshiyuki (70142916)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  庄司 俊明 (40120191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  SAKANE Yusuke (00089872)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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