MIKI Kei 三木敬

… Alternative Names

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

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

MIKI Kei 三木 敬

三木 敬 ミキ ケイ

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The study of quantum toroidal algebrasPrincipal Investigator

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可積分な模型の形状因子Principal Investigator

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可解格子模型と可積分な場の理論Principal Investigator

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

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Data Source

[Journal Article] A (q,γ) analog of the W_1+∞ algebra2007

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Data Source

[Journal Article] A (q, γ) analog of the W_<1+∞> algebra2007

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[Journal Article] Some quotient algebras arising from the quantum Toroidal algebra $U_q(sl_{n+1}({cal C}_gamma))$ $(nge 2)$2006

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MIKI Kei 三木敬

三木敬ミキケイ