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Fujii Kazuyuki  藤井 一幸

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FUJII Kazuyuki  藤井 一幸

藤井 一章  フジイ カズアキ

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Researcher Number 00128084
Other IDs
Affiliation (Current) 2025: 横浜市立大学, 国際総合科学部(八景キャンパス), 教授
Affiliation (based on the past Project Information) *help 2013: 横浜市立大学, 総合科学部, 教授
2009: 横浜市立大学, 総合科学部, 教授
2006 – 2007: 横浜市立大学, 国際総合科学研究院, 教授
2006 – 2007: 横浜市立大学, 総合科学部, 教授
2005 – 2007: 横浜市立大学, 国際総合科学部, 教授 … More
2005: 横浜市立大学, 国際総合科学研究科, 教授
2004: 横浜市立大学, 大学院・総合理学研究科, 教授
2001 – 2003: 横浜市立大学, 総合理学研究科, 教授
1998 – 2003: 横浜市立大学, 理学部, 教授
1995 – 1998: 横浜市立大学, 理学部, 助教授
1990 – 1994: 横浜市立大学, 文理学部, 助教授
1986 – 1987: 九州大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / 代数学・幾何学
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Geometry / Global analysis / Global analysis / Geometry / 解析学 / Algebra / 代数学・幾何学
Keywords
Principal Investigator
Geometric Quantum Computer / Berry Connection / Geometric Phase / Quantum Mechanics / Coherent State / Asymptotic Analysis / Renormalization-group Method / Integrabel Model / 高階ダランベール作用素 / 可積分系 … More / 保存カレント / 部分模型 / 運動方程式 / 非線形グラスマン模型 / 非線形シグマ模型 / 包絡線 / 幾何学的量子コンピューター / ベリー接続 / 幾何学的位相 / 量子力学 / コヒーレント状態 / 漸近解析 / くり込み群の方法 / 可積分模型 / Fuchsian PDE / algorithm / FR model / WZW model / gauge structure / path integral / coherent state / WKB-exactness / Uirasoro algebra / highest weight / spin(スピン) / Lie環 / 連続な戸田方程式 / 戸田方程式 / Grassmann σーmodel / ChernーSimon soliton … More
Except Principal Investigator
量子群 / Woronowicz環 / モンジュ・アンペール方程式 / ツイスター理論 / Kac環 / von Neumann環 / インスタントン / グルサー方程式 / 反応拡散方程式 / 量子ローレンツ群 / Hopf^*環 / Hopf環 / パルス相互作用 / C^*-algebra / 双対性 / C^*-algebras / 記号力学系 / C^*-環 / Goursat equation / twistor theory / ルジャンドル測地線 / 半平坦部分接続 / 超幾何方程式 / Hopf algebra / Woronowicz algebra / Kac algebra / von Neumann algebra / quantum group / C^*環 / モンジュ・アンペール系 / クレロー方程式 / ルジャンドル特異点論 / 重みつき微分方程式 / リー代数表現 / コーン場 / 旗多様体 / 幾何構造 / 微分方程式 / 非線形発展方程式 / 量子包絡環 / Quantum Double / Hopf C^*環 / 作用素環 / 基本群 / 曲率 / random algorithms / 分散型計算 / 巡回セールスマン問題 / NP完全問題 / 組合せ最適化 / 並行プロセス / ランダムアルゴリズム / symbolic dynamical systems / C^*_-環 / Traveline front / Interfacial dynamics / Pulse interaction / Reaction diffusion systems / 局在解 / チューリング不安定性 / 4階の方程式 / 平面解 / フロント進行波解 / 界面ダイナミクス / 反応拡散方程式系 / Legendre singularity theory / instanton / Clairaut equation / Monge-Ampere equation / 非可換性 / 双曲構造 / ラプラス方程式 / ルジャンドル観測線 / カルタン接続 / 3次コーン構造 / ラグランジェ部分空間対 / 非ホロノーム分布 / 2階常微分方程式 / モンジュ・アンベール方程式 / elastic reflection of pulses / self-replication / bifurcation structure / pulse interaction / pulse dynamics / reaction-diffusion systems / 脈動的進行パルス / 特異点 / 粒子的反射運動 / 弱い相互作用 / 中心多様体 / 粒子的反射 / 自己複製 / パルス解 / 分岐点 / 欠陥のダイナミクス / パルスの弾性的反射 / 自己複製パターン / 分岐構造 / パルスダイナミクス / 反応拡散系 / Tomita-Takesaki theory / multiplicative unitary / duality / locally compact quantum group / operator algebra / Weighted Hopf C^*-algebra / Quantum Group / 二重群構成法 / 従順性 / 荷重付きHopf C^*環 / Womonowicz環 / 冨田-竹崎理論 / 乗法的ユニタリ / 局所コンパクト量子群 / Ext-groups / K-Theory / subshifts / symbolic dynamics / Ext-群 / K-理論 / サブシフト / half-flat pertial connection / hypergeometric equation / sub-Laplacian / Language structure / pure spinor structure / 特殊ラグランジアン部分多様体 / 接触構造 / サブ・ラプラシアン / 特殊ラグランジアン / アインシュタイン・ケーラー多様体 / 例外群G_2 / 第2種旗多様体 / サブラプラシアン / ラグランジュ構造 / 純スピノル構造 / C^* -algebra / Lorentz group / Lorentz群 / von Neumarsu環 / Lorents群 / horentz群 / Hopf代数 / symbolic computation / Groebner base / algorithm / linear partial differential equation / D-module / 数式処理 / グレブナ基底 / アルゴリズム / 線型偏微分方程式 / D-加群 / NCアルゴリズム / 並列アルゴリズム / プログラム意味論 / Gluing 条件Pushout square / カテゴリー論的グラフ文法 / 情報数学 / カテゴリー論 / 圏論 / 既存データの組込 / 発癌性 / 代数的整数論 / 多変量解析 / 順序仮説の検定 / 傾向性の検定 / 非ガウス型積分 / 終結式 / ラグランジュ・グラスマン射影双対 / 共形3対性 / D_4型旗多様体 / 外在的幾何 / 線形微分方程式系 / 次数つきリー代数表現 / ガウス・マニン接続 / 超幾何積分 / 共形3対性 / D_4図式 / エンゲル・ルジャンドル双対 / ラグランジュ・グラスマン双対 / 近ケーラー多様体 / 部分多様体 / ベックルント変換 / 超幾何微分方程式 / 超行列式 / 摂動展開 / パターン形成 / 界面方程式 / リーマン多様体 / 調和写像 / ラプラシアン / 擬4元数構造 / Seiberg-Witten方程式 / 正則ディリクレ空間 / 熱核 / 指数的Yang-Mills接続 / Yang-Mills接続 / Quantum double / 非結合的代数 / ジョルダン代数 / 階別リー代数 / リー代数 / Hopf*環 / II型ファクター / III型ファクター / 双対定理 / 極小部分多様体 / 単射半径 / リ-マン多様体 Less
  • Research Projects

    (27 results)
  • Research Products

    (8 results)
  • Co-Researchers

    (48 People)
  •  Study on relations between differential equations and geometric structures by the method of twistor theory

    • Principal Investigator
      MACHIDA YOSHINORI
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  Correlation between differential equations, geometric structures, and twistor theory

    • Principal Investigator
      MACHIDA Yoshinori
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu College of Technology
  •  Structure theory of C*-algebras and its application of classification of symbolic dynamics

    • Principal Investigator
      MATSUMOTO Kengo
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama City University
  •  Dynamics of patterns and their interactions for nonlinear evolutional equations

    • Principal Investigator
      EI Shin-ichiro
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyushu University
  •  Twistor correspondence between different geometric structures and application to differential equations and field theory

    • Principal Investigator
      MACHIDA Yoshinori
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  K-Theory for C*- algebras and its applications to Symbolic dynamics

    • Principal Investigator
      MATSUMOTO Kengo
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama City University
  •  Operator Algebraic Approach to Quantum Groups

    • Principal Investigator
      NAKAGAMI Yoshiomi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      JAPAN WOMEN'S UNIVERSITY
  •  Dynamics of localized patterns in nonlinear evolutional systems

    • Principal Investigator
      EI Shin-ishiro
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama City University
  •  The twistor correspondence between different geometric structures and its application

    • Principal Investigator
      MACHIDA Yoshinori
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  Mathematical Research of Quantum Field Theory.Principal Investigator

    • Principal Investigator
      FUJII Kazuyuki
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama City University
  •  非線形発展方程式に現われる界面の運動

    • Principal Investigator
      EI Shin-ishiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yokohama City University
  •  Study on Algorithms for D-Modules

    • Principal Investigator
      OAKU Toshonori
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  Noncommutative Geometry for Quantum Groups

    • Principal Investigator
      NAKAGAMI Yoshiomi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yokohama City University
  •  量子群の作用素環論的研究

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Yokohama City University
  •  リーマン多様体の幾何構造の研究

    • Principal Investigator
      市田 良輔
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yokohama City University
  •  量子群の非可換幾何

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yokohama City University
  •  場の量子論の数学的研究Principal Investigator

    • Principal Investigator
      藤井 一幸
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Yokohama City University
  •  幾何学に現われる非線形方程式の総合的研究

    • Principal Investigator
      浦川 肇
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  量子群の作用素環論的研究

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Yokohama City University
  •  量子群の作用素環論的研究

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Yokohama City University
  •  多元環の研究とその応用

    • Principal Investigator
      浅野 洋
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  量子群の非可換微分幾何

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yokohama City University
  •  場の量子論の数学的研究Principal Investigator

    • Principal Investigator
      藤井 一幸
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yokohama City University
  •  多様体の幾何構造の研究

    • Principal Investigator
      ICHIDA Ryousuke
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Yokohama City University
  •  計算科学への圏論の応用

    • Principal Investigator
      KAWAHARA Yasuo
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  多変量解析と計算アルゴリズム

    • Principal Investigator
      KUDWO Akio
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Computing Science and Statistical Mechanics

    • Principal Investigator
      TANAKA Shunichi
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University

All 2010 2008 2007 2005 2004

All Journal Article Book

  • [Book] 数理の玉手箱2010

    • Author(s)
      藤井, 鈴木, 浅田, 待田, 岩井共著
    • Total Pages
      205
    • Publisher
      遊星社
    • Data Source
      KAKENHI-PROJECT-22540109
  • [Book] 数理の玉手箱2010

    • Author(s)
      待田芳徳、藤井一幸、鈴木達夫、浅田明、岩井敏洋
    • Publisher
      遊星社
    • Data Source
      KAKENHI-PROJECT-22540109
  • [Journal Article] Flow Representation of the Bose-Hubbard Hamiltonian : General Case2008

    • Author(s)
      K., Fujii, T., Suzuki
    • Journal Title

      to appear in International Journal of Geometric Methods in Modern Physics Vol. 5, No. 3

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] General Solution of the Quantum Damped Harmonic Oscillator2008

    • Author(s)
      R., Endo, K., Fujii, T., Suzuki
    • Journal Title

      to appear in International Journal of Geometric Methods in Modern Physics Vol. 5, No. 5

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] On the magic matrix by Makhlin and the B-C-H formula in SO(4)2007

    • Author(s)
      Fujii et al.
    • Journal Title

      International Journal of Geometric Methods in Modern Physics (In press)

    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] More on the isomorphism $SU(2)otimes SU(2) cong SO(4)2007

    • Author(s)
      Fujii et al.
    • Journal Title

      International Journal of Geometric Methods in Modern Physics (In press)

    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] Standard and Non-Standard Quantum Models : A Non-Commutative Version of the Classical System of SU(2) and SU(1,1) Arising from Quantum Optics2005

    • Author(s)
      Fujii
    • Journal Title

      Int.J.Geom.Meth.Mod.Phys. 2

      Pages: 783-822

    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] Cavity QED and Quantum Computation in the Weak Coupling Regime2004

    • Author(s)
      K.Fujii et al.
    • Journal Title

      Journal of Optics B : Quantum and Semiclassical Optics 6

      Pages: 502-509

    • Data Source
      KAKENHI-PROJECT-16540200
  • 1.  NAKAGAMI Yoshiomi (70091246)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  ICHIDA Ryousuke (10094294)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  ICHIRAKU Shigeo (30046130)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  OAKU Toshonori (60152039)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  ASANO Hiroshi (00046012)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  ICHIMURA Fumio (00203109)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  SHIRAISHI Takaaki (50143160)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  MACHIDA Yoshinori (90141895)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 2 results
  • 9.  ISHIKAWA Goo (50176161)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  SATO Hajime (30011612)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  EI Shin-ishiro (30201362)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  MIZUMACHI Tetsu (60315827)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  YANAGIDA Eiji (80174548)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  MORIMOTO Tohru (80025460)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  河東 泰之 (90214684)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  生西 明夫 (80016667)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  土屋 卓也 (00163832)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  YANAGAWA Takashi (80029488)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  KAWAHARA Yasuo (90091181)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  MORI Toshio (40046008)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  FUJII Michihiko (60254231)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  TAKAHASHI Masatomo (80431302)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  KUDWO Akio (00037144)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  FUJINO Seiichi (20037146)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  MATSUMOTO Kengo (40241864)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  保倉 理美 (00191122)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  山上 滋 (90175654)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  TAKAYAMA Nobuki (30188099)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  MIYAZAKI Naoya (50315826)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  KAMADA Hiroyuki (00249799)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  ISHI Hideyuki (00326068)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  YAMANOUCHI Takahiko (30241293)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  KUROSE Hideki (00161795)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  MINEMURA Katsuhiro (20060684)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  TAKEMURA Kouichi (10326069)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  TOMIYAMA Jun (30006928)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  TANAKA Shunichi (00028127)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  楫 元 (70194727)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  小屋 良裕 (50254230)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  浦川 肇 (50022679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  池田 章 (30093363)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  神島 芳宣 (10125304)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  内藤 久資 (40211411)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  加須栄 篤 (40152657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  白谷 克巳 (80037168)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  岡崎 悦明 (40037297)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  宮野 悟 (50128104)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  大枝 一男 (10060675)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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