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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
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
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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
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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
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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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