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SAKAI Shoichiro  境 正一郎

ORCIDConnect your ORCID iD *help
… Alternative Names

境 正一郎  サカイ シヨウイチロウ

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Researcher Number 30130503
External Links
Affiliation (based on the past Project Information) *help 1988 – 1996: College of Humanities and Sciences, Nihon university, 文理学部, 教授
1986: 日大, 文理学部, 教授
Review Section/Research Field
Principal Investigator
解析学
Except Principal Investigator
解析学 / 代数学・幾何学 / Geometry
Keywords
Principal Investigator
quantum statistical mechanics / Phase transition / Derivation / C^*-力学系 / 量子格子系 / unbounded derivations / continuous quantum systems / quantum lattice systems / operator algebras / phase transition … More / KMS states / 連続量子系 / KMS state / 非有界微分 / 相転移 / 相転機 / Powers-Sakai 予想 / UHF代数 / C^*ーalgebras / contiuous quantum systems / continuous quantum system / quantum lattice system / operator algebra / StoneーWeierstrass Problem / C^*_-代数 / 非有界微分作用素 / 統計力学とC^*_-代数 / Powers-Sakai conjecture / C^* -algebras / C-^* algebras / quantum statislical mechnics / C^*_-力学系 / KMS Stateo / Phase transtions / C^*-代数 / 量子統計力学 / KMS状態 / C^<**>-algebras / 連絡量子系;C^*quantum physics;Deri-ONS;*-代数C^*-代数 / Time evolution / 平衝状態 / C^*ー力学系 / 【C^*】-代数 / 統計力学 / 【C^*】-力学系 / Continuous quantum systems / C^*-quantum physics … More
Except Principal Investigator
アノマリー / gauge connection / 場の発散 / 作用素環 / renormalization / Hurwitz pair / Dirac equation / Fuchsの関係式 / リーマン・ヒルベルト問題 / flat connection / 函数解析 / 実解析 / 函数空間 / 調和解析 / 表現論 / 偏微分方程式 / ゲージ接続 / algebroid / anomaly / Hermitian Hurwitz pair / Diff.equations of Fuchsi / conformal field thearg / Bott-Chern Thearem / -an type / Clifford代数 / Penrose theory / Bott-Chemの定理 / クリフォード代数 / ディラック型の方程式 / ペンローズ理論 / 特性菌 / Penrose theny / soliton eguation / Riemann-Hilbent Problen / Fuchs relation / anormally / ゲージ場 / 発散 / 平担接続 / Riemaun-Hilbet問題 / C^*代数 / 非有界微分 / C^Tーendmorphism / 関数芽 / blow analytic trivialization / the radii of starlikeness and convexity / ソリトン方程式 / ゲ-ジ理論 / C^*-代数における公理化 / 非有界作用素 / Generalized Hilbert Fifth Problem / Hurwitz Pairs / (一般化された)ミンコフスキ-空間 / Blow Analytic Trivialization / Newton Boundary / 連績量子系 / Time evolution / 平衡状態 / C^*-力学系 / 函数環 / Functional analysis ; / Real analysis ; / Function spaces ; / Operator algebras ; / Harmonic analysis ; / Representation theory ; / Partial differential equations ; / Function algebras / 量子力学 / 指数 / グラフ理論 / 無理数回転群 / 指数理論 / エルゴ-ト理論 / コンパクト作用素 / 因子環 / Jones指数 / 非可換微分幾何学 / 量子群 / 可解格子模型 / 解析的接合積 / Operator Algebra / Quantum Mechanics / Index of Subfactor / graph theory / 場の量子論 / 格子系 / ゲージ理論 / 平担な接続 / 相転移 / K.M.S状態 / 平坦拡張定理 / 非可変微分幾何 / 量子場の発散 / 指数定理 / Gauss-Bonnet定理 / Singular pertuvbation / Diff.eq.of Fuchsian Type / dynamical system / singular pertubation / constrained sysytem / quantum field theory / B.R.S.transformation / gauge thery / flat extension therem / devergence in quantum field theory / Symmetry structure / 時空間の符号数 / Minkowski空間 / Penrose対応 / rertex operator / Riemann-Hilkut問題 / Hurwifz対 / Yang-Mills場 / Riemann-Hilbert問題 / anormaly / Clifford algebra / Soliton equation / havmonic map / Yang-Mills field / アシュテカ理論 / チャン・サイモン理論 / モノドロミ-表現 / フルヴィツ対 / the siguature of the space time / Minkowski space / Riemann-Hilbent problem / regular singularities / vertex operator / Green kernel / dualities / 作用素 / Functional analysis / Real analysis / Function spaces / Operator algebras / Operator / Harmonic analysis / Representation theory Less
  • Research Projects

    (15 results)
  • Co-Researchers

    (35 People)
  •  場の発散とその幾何

    • Principal Investigator
      鈴木 理
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nihon University
  •  場の発散とその幾何

    • Principal Investigator
      鈴木 理
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nihon University
  •  場の発散とその幾何

    • Principal Investigator
      鈴木 理
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nihon University
  •  Quantum field theory and the connected differential geometry

    • Principal Investigator
      SUZUKI Osamu
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nihon University
  •  場の理論に於ける発散とその幾何

    • Principal Investigator
      鈴木 理
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nihon University
  •  The derivation theory of oporator algebras and its applications to statistical mechanicsPrincipal Investigator

    • Principal Investigator
      SAKAI Shoichiro
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nihon University
  •  場の理論に於ける発散とその幾何学

    • Principal Investigator
      SUZUKI Osamu
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nihon University
  •  作用素代数に於ける非有界微分論とその統計力学への応用Principal Investigator

    • Principal Investigator
      境 正一郎
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nihon University
  •  Studies on Dynamical systems

    • Principal Investigator
      SUZUKI Osamu
    • Project Period (FY)
      1991 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nihon University
  •  Co-Operative research of Recent Topics in Operator Algebras

    • Principal Investigator
      SAITO Kichi-suke
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Niigata University
  •  Cooperative Researches on Real Analysis and Functional Analysis

    • Principal Investigator
      SAKATA Hiroshi
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Okayama University
  •  The theory of unbounded derivations in C^* -algebras and its applications to statistical mechanicsPrincipal Investigator

    • Principal Investigator
      SAKAI Shoichiro
    • Project Period (FY)
      1989 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nihon University
  •  正作用素の研究

    • Principal Investigator
      NIIRO Funio
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nihon University
  •  Cooperative Researches on the Applications of Functional Analysis and Real Analysis

    • Principal Investigator
      ANDO Tsuyoshi
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Hokkaido University
  •  The theory of unbounded derivations in C^*-algebras and its applications to Statistical mechanics.Principal Investigator

    • Principal Investigator
      SAKAI Shoichiro
    • Project Period (FY)
      1986 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nihon University
  • 1.  SUZUKI Osamu (10096844)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  SUZUKI Masahiko (00171249)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 3.  NISHIOKA Kumiko (80144632)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  MOTEGI Kimihiko (40219978)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  YAKU Takeo (90102821)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  NAKAGAMI Yoshiomi (70091246)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  NIIRO Funio (50012191)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  YAGUCHI Teruo (50059987)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  GOTO Shiro (50060091)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  MISONOU Yoshinao (20005705)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  黒田 耕嗣 (50153416)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  INOUE Atsushi (50078557)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  OHYA Masanori (90112896)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  SHINYA Hitoshi (70036416)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  橘 貞雄 (70060035)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  武笠 敏夫 (00059750)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  池上 宜弘 (00023614)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  SAKATA Hiroshi (60032752)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  ITO Seizo (40011423)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  MIDORIKAWA Hisaichi (80055318)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  WATARI Chinami (80004274)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  SAITO Kichi-suke (30018949)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KISHIMOTO Akitaka (00128597)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  ARAKI Hujihiro (20027361)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  TOMIYAMA Jun (30006928)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  斎藤 和之 (60004397)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  釜江 慶子 (60059566)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  WATE Masamichi (60059475)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  石原 繁 (80016013)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  ANDO Tsuyoshi (10001679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  MURAMATSU Toshinobu (60027365)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  SAKA Koichi (20006597)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  熊原 啓作 (60029486)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  長田 尚 (00030338)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  越 昭三 (40032792)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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