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SAKAI Shoichiro
境 正一郎
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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)
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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
Phase transition / quantum statistical mechanics / Derivation / unbounded derivations / operator algebras / phase transition / 量子格子系 / continuous quantum systems / KMS states / quantum lattice systems
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/ 連続量子系 / KMS state / C^*-力学系 / 非有界微分 / 相転移 / operator algebra / 非有界微分作用素 / Powers-Sakai conjecture / continuous quantum system / KMS状態 / quantum lattice system / StoneーWeierstrass Problem / KMS Stateo / quantum statislical mechnics / 平衝状態 / C^*ー力学系 / C^* -algebras / 量子統計力学 / C^*-代数 / 【C^*】-力学系 / 相転機 / C^<**>-algebras / contiuous quantum systems / C^*-quantum physics / C^*ーalgebras / Time evolution / Phase transtions / C^*_-力学系 / C^*_-代数 / 連絡量子系;C^*quantum physics;Deri-ONS;*-代数C^*-代数 / 統計力学とC^*_-代数 / UHF代数 / Continuous quantum systems / 【C^*】-代数 / C-^* algebras / Powers-Sakai 予想 / 統計力学
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More
Except Principal Investigator
アノマリー / 作用素環 / 場の発散 / gauge connection / Dirac equation / algebroid / Fuchsの関係式 / flat connection / 偏微分方程式 / Hermitian Hurwitz pair / 表現論 / anomaly / 調和解析 / renormalization / リーマン・ヒルベルト問題 / 函数空間 / Hurwitz pair / 実解析 / 函数解析 / ゲージ接続 / Riemann-Hilbent problem / the radii of starlikeness and convexity / the siguature of the space time / Real analysis ; / graph theory / 量子場の発散 / gauge thery / C^*-代数における公理化 / 無理数回転群 / havmonic map / 量子力学 / 可解格子模型 / C^Tーendmorphism / Real analysis / devergence in quantum field theory / Operator algebras / Operator / 非可変微分幾何 / 関数芽 / regular singularities / vertex operator / Newton Boundary / 非可換微分幾何学 / constrained sysytem / Hurwitz Pairs / コンパクト作用素 / 作用素 / K.M.S状態 / Partial differential equations ; / Diff.eq.of Fuchsian Type / Gauss-Bonnet定理 / conformal field thearg / dynamical system / Representation theory ; / -an type / Generalized Hilbert Fifth Problem / Green kernel / Harmonic analysis / C^*代数 / 平担接続 / Bott-Chern Thearem / 平衡状態 / Time evolution / Penrose theny / 指数定理 / blow analytic trivialization / Fuchs relation / 指数理論 / 特性菌 / Bott-Chemの定理 / Penrose対応 / B.R.S.transformation / (一般化された)ミンコフスキ-空間 / Symmetry structure / 時空間の符号数 / 場の量子論 / Yang-Mills field / dualities / ペンローズ理論 / 指数 / Riemann-Hilbent Problen / anormally / soliton eguation / Riemann-Hilbert問題 / Minkowski空間 / C^*-力学系 / Diff.equations of Fuchsi / 平担な接続 / 非有界作用素 / アシュテカ理論 / Harmonic analysis ; / 格子系 / Hurwifz対 / 解析的接合積 / エルゴ-ト理論 / 量子群 / 因子環 / 相転移 / モノドロミ-表現 / ゲージ理論 / singular pertubation / クリフォード代数 / Blow Analytic Trivialization / Function spaces ; / Operator Algebra / 平坦拡張定理 / Function algebras / Minkowski space / 発散 / 非有界微分 / Singular pertuvbation / ゲ-ジ理論 / Quantum Mechanics / Riemann-Hilkut問題 / ゲージ場 / ディラック型の方程式 / 函数環 / グラフ理論 / Clifford代数 / Yang-Mills場 / Penrose theory / rertex operator / Operator algebras ; / Functional analysis / チャン・サイモン理論 / Function spaces / Soliton equation / Functional analysis ; / quantum field theory / flat extension therem / Index of Subfactor / Riemaun-Hilbet問題 / anormaly / フルヴィツ対 / Representation theory / Jones指数 / Clifford algebra / 連績量子系 / ソリトン方程式
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Research Projects
(
15
results)
Co-Researchers
(
35
People)
Project Start Year (Newest)
Project Start Year (Oldest)
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 mechanics
Principal 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 mechanics
Principal 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
# of Projects (Dsc)
# of Projects (Asc)
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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