FUJITA Hisaaki 藤田尚昌

… Alternative Names

藤田尚晶フジタヒサアキ

FUJITA H. 藤田尚昌

藤田尚昌フジタヒサアキ

Less

Researcher Number	60143161
Other IDs
Affiliation (based on the past Project Information) *help	2007 – 2010: University of Tsukuba, Graduate School of Pure and Applied Sciences, Associate Professor 2004 – 2006: 筑波大学, 大学院・数理物質科学研究科, 助教授 2005: 筑波大学, 大学院数理物質科学研究科, 助教授 2003: Univ.Tsukuba, Inst.Math., Assoc.Prof., 数学系, 助教授 1994 – 2003: 筑波大学, 数学系, 講師 1991 – 1992: 筑波大学, 数学系, 講師
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra / Algebra / 代数学・幾何学
Keywords	Principal Investigator characteristic of field / global dimension / tiled order / Frobenius algebra / matrix ring / 入射次元 / ホモロジー次元 / 半順序集合の表現 / 体の標数 / 大局次元 / タイル整環 / Frobenius多元環 / 行列環 … More Except Principal Investigator … More フロベニウス多元環 / ホップ代数 / コホモロジー群 / Picard-Vessiot theory / ピカール・ヴェシオ理論 / Hopf algebra / アルティン多元環 / 整環 / ゴレンシュテイン次元 / ネータ多元環 / 導来同値 / 導来圏 / ゴレンシュタイン多元環 / ムーンシャイン予想 / 頂点作用素代数 / モンスター単純群 / ガロワ被覆 / 大局次元 / 表現 / タイル整環 / 対称多元環 / Grothendieck Group / Gorenstein Tiledorder / Auslander Formula / Selfinjective Algebra / Tiltinr Complex / Derived Equivalence / Derived Category / フロベニウス拡大 / 部分的傾斜鎖複体 / トーション理論 / グロタンディック群 / ゴレンシュタインタイル整環 / アウスランダー公式 / 自己入射的多元環 / 傾斜鎖複体 / differential-difference Galois theory / Hopf-Galois theory / brided Hopf algebra / Super formal group / Super affine group / 差分ガロア理論 / 微分ガロア理論 / ホップガロア理論 / 組紐ホップ代数 / 微分・差分ガロア理論 / ポップガロア理論 / 組紐ポップ代数 / スーパー形式群 / スーパーアフィン群 / Picard-Vessiot理論 / Tanaka duality / II_1 subfactor / group cohomology / super-affine group / super-Hopf algebra / 群のコホモロジー / 部分因子環 / ホップ・ガロア拡大 / ホモロジー代数 / 淡中双対定理 / 淡中双対性 / II_1型部分因子環 / 群コホモロジー / スーパー・アフィン群スキーム / スーパー・ホップ代数 / tiled order / Aritinian ring / Broue conjecture / Hecke algebra / Cohen-Macaulay module / linkage / Gorenstein ring / 群多元環 / ベーア環 / アルテイン多元環 / フロべニウス多元環 / クイバー / ヘッケ環 / ガロア被覆 / アルチン環 / ブルエ予想 / Hecke環 / コーエンマコーレー加群 / リンケージ / ゴレンシュテイン環 / Hochschild cohomology / Hopf cohomology / Crossed product / Cocfuasi-bialgebra / Tensor equivalence / Quantum group / ガロア対象 / 組紐構造 / ホッホシルトコホモロジー / ホップコホモロジー / 接合積 / 余準双代数 / テンソル同値 / 量子群 / order / dualizing module / Gorenstein dimension / Gorenstein Algebra / Noetherian algebra / 完全加群 / 有限入射次元 / バス予想 / ネータ環 / 双対加群 / ゴレンシュテイン多元環 / セール双対 / 行列環 / ゴレンシュタイン整環 / アウスランダー・ゴレンシュタイン分解 / アウスランダー・ゴレンシュタイン環 / ゴレンシュタイン環 / 多元環の表現論 / 対称代数 / 有限群 / モジュラー関数 / 擬トレイス関数 / ツー代数 / 完全可約 / テンソル積 / 射影加群 / C2有限条件 / 非有理型頂点作用素代数 / 自己同型群 / ヴィラソロ代数 / モジュラー不変 / ラティス / テーター関数 / K群 / Gauss分解 / Kac-Moody群 / 膨張写像環 / 準結晶 / 中山自己同型 / Auslander-Reiten quiver / 有限次元多元環 / 中山環 / アルチン多元環 / algebraic K-theory / Kac-Moody groups / Kac-Moody algebra / algebraic group / Lie algebra / 同相写像 / ワイル代数 / 組み系群 / 環 / ホロノミー図形 / 複素リー群 / Bratteli図形 / カルタン行列 / Levy processses / quantum matrices / Grothendiech group / Derived category / Cartan matrices / category equivalence / Morita contexts Less

Study of Gorenstein algebras
- Principal Investigator
  
  HOSHINO Mitsuo
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
STUDY ON FULL MATRIX ALGEBRAS WITH STRUCTURE SYSTEMSPrincipal Investigator
- Principal Investigator
  
  FUJITA Hisaaki
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
非有理型を含む頂点作用素代数における環論・モジュラー形式論・群論の新展開
- Principal Investigator
  
  宮本雅彦
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Generalization of Hopf-quotient theory and applications to subfactors and others
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study of Derived Equivalences
- Principal Investigator
  
  HOSHINO Mitsuo
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Structure theory and rerpresentation theory of noncommutative rings
- Principal Investigator
  
  NISHIDA Kenji
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
Classification of coquasi-Hopf algebras by tensor equivalence and constructions of new braidings
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Classification of Hopf algebras and quantum groups by tensor equivalences
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Homological structure and representation of Noetherian algebras
- Principal Investigator
  
  NISHIDA Kenji
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
頂点作用素代数のテーター関数の研究
- Principal Investigator
  
  宮本雅彦
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
準結晶とその代数的構造の研究
- Principal Investigator
  
  森田純
- Project Period (FY)
  1997
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
フロベニウス多元環のガロワ被覆と変形理論の研究
- Principal Investigator
  
  山形邦夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
リー環と代数群の構造と応用
- Principal Investigator
  
  森田純
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
フロベニウス多元環のガロワ被覆と変形理論の研究
- Principal Investigator
  
  山形邦夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
環論および多元環の表現論の研究
- Principal Investigator
  
  山形邦夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
多元環の表現論とその関連分野の総合的研究
- Principal Investigator
  
  YAMAGATA Kunio
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tsukuba
環論とその関連分野の総合的研究
- Principal Investigator
  
  加藤豊紀
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tsukuba

All 2009 2008 2007 2006 2003 Other

All Journal Article Presentation

[Journal Article] A tiled order of finite global dimension with no neat primitive idempotent2009
- Author(s)
  H.Fujita, A.Oshima
- Journal Title
  
  Comm.Algebra 37
  
  Pages: 575-593
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540037
[Journal Article] A tiled order of finite global dimensiom with no neat primitive idemitive idempotent2009
- Author(s)
  H. Fujita, A. Oshima
- Journal Title
  
  Comm. Algebra 37
  
  Pages: 575-593
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540037
[Journal Article] A tiled order of finite global dimension with no neat primitive idempotent2008
- Author(s)
  Hisaaki Fujita, Akira Oshima
- Journal Title
  
  Communications in Algebra 近刊(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] A tiled order of finite global dimension with no neat primitlve idempotent2008
- Author(s)
  Hisaaki, Fujita・Akira, Oshima
- Journal Title
  
  Communications in Algebra 近刊
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] Minor degenerations of the full matrix algebra over a field2007
- Author(s)
  Hisaaki Fujita, Yosuke Sakai, and Daniel Simson
- Journal Title
  
  J. Math. Soc. Japan Vol.59, No.3
  
  Pages: 763-795
- NAID
  10019540006
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] On Frobenius full matrix algebras with structure systems2007
- Author(s)
  Hisaaki, Fujita・Yosuke, Sakai・Daniel, Simson
- Journal Title
  
  Algebra and Discrete Mathe Mathematics
  
  Pages: 24-39
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] On Frobenius full matrix algebras with structure systems2007
- Author(s)
  Hisaaki Fujita, Yosuke Sakai, Daniel Simson
- Journal Title
  
  Algebra and Discrete Mathematics
  
  Pages: 24-39
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] Minor degenerations of the full matrix algebras over a field2007
- Author(s)
  Hisaaki, Fujita・Yosuke, Sakai・Daniel, Simson
- Journal Title
  
  Journal of Mathematical Society of Japan 59
  
  Pages: 763-795
- NAID
  10019540006
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] Minor degenerations of the full matrix algebras over a field2007
- Author(s)
  Hisaaki Fujita, Yosuke Sakai, Daniel Simson
- Journal Title
  
  Journal of Mathematical Society of Japan 59
  
  Pages: 763-795
- NAID
  10019540006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] On Frobenius full matrixalgebras with structure systems2007
- Author(s)
  Hisaaki Fujita, Yosuke Sakai, and Daniel Simson
- Journal Title
  
  Algebra and Discrete Math No.1
  
  Pages: 24-39
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] Frobenius full matrix algebras and Gorenstein tiledorders2006
- Author(s)
  H.Fujita, Y.Sakai
- Journal Title
  
  Communications in Algebra 34
  
  Pages: 1181-1203
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540009
[Journal Article] Frobenius full matrix algebras and Gorenstein tiledorders2006
- Author(s)
  Hisaaki Fujita, Yosuke Sakai
- Journal Title
  
  Communications in Algebra 34
  
  Pages: 1181-1203
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540009
[Journal Article] Full mateix algebras with structure systems2003
- Author(s)
  H.Fujita
- Journal Title
  
  Colloq.Math. 98
  
  Pages: 249-258
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340007
[Journal Article] Full matrix algebras with structure system2003
- Author(s)
  H.Fujita
- Journal Title
  
  Colloq.Math. 98
  
  Pages: 249-258
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340007
[Journal Article] A tiled order of finite global dimension with no neat primitive idempotent
- Author(s)
  Hisaaki Fujita and Akira Oshima
- Journal Title
  
  to appear in Comm. Algebra
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540011
[Journal Article] Minor degenerations of the full matrix algebra over a field
- Author(s)
  Hisaaki Fujita, Yosuke Sakai, Daniel Simson
- Journal Title
  
  Journal of the Mathematical Society of Japan to appear
- NAID
  10019540006
- Data Source
  KAKENHI-PROJECT-18540011
[Presentation] A tiled order of finite global dimension with no neat primitive idempotent2007
- Author(s)
  Hisaaki Fujita
- Organizer
  The 5th China-Japan-Korea International Symposium on Ring Theory
- Place of Presentation
  National Olympic Memorial Yourth Center, Tyokyo
- Year and Date
  2007-09-14
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540011
[Presentation] A tiled order of finite global dimension with no neat primitive idempotent2007
- Author(s)
  Hisaaki Fujita
- Organizer
  第5回日中韓環論国際シンポジューム
- Place of Presentation
  国立オリンピック記念青少年総合センター
- Year and Date
  2007-09-14
- Data Source
  KAKENHI-PROJECT-18540011
[Presentation] A tiled order of finite global dimension with no neat primitive idempotent2007
- Author(s)
  Hisaaki Fujita
- Organizer
  第5回日中韓環論国際シンポジューム
- Place of Presentation
  国立オリピック記念青少年総合センター
- Year and Date
  2007-09-14
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540011

1. HOSHINO Mitsuo (90181495)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. MORITA Jun (20166416)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. TAKEUCHI Mitsuhiro (00015950)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. YAMAGATA Kunio (60015849)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
5. TANABE Kenichiro (10334038)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. 宮下庸一 (00000795)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. MASUDA Tetsuya (70202314)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. MASUOKA Akira (50229366)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. 加藤豊紀 (00005779)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. NISHIDA Kenji (70125392)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. NINOMIYA Yasushi (40092887)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. IWANAGA Yasuo (80015825)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. 太刀川弘幸 (20015473)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. 木村達雄 (30022726)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 宮本雅彦 (30125356)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. ABE Hiroki (20533342)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. MUKAI Juno (50029675)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. HANAKI Akihide (50262647)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. KOSHITANI Shigeo (30125926)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. HIRANO Yasuyuki (90144732)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. AMANO Katsutoshi (40400642)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. MIYACHI Jun-ichi (50209920)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 飯寄信保 (00241779)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 笠井伸一 (40224373)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 加藤久男 (70152733)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 保城寿彦 (40211544)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 若林誠一郎 (10015894)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 梶谷邦彦 (00026262)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 林正洪 (60292497)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 佐垣大輔 (40344866)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 山崎愛一 (10283590)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. KOGA Hirotaka

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

FUJITA Hisaaki 藤田 尚昌

藤田 尚晶 フジタ ヒサアキ

FUJITA H. 藤田 尚昌

藤田 尚昌 フジタ ヒサアキ

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

STUDY ON FULL MATRIX ALGEBRAS WITH STRUCTURE SYSTEMSPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

FUJITA Hisaaki 藤田尚昌

藤田尚晶フジタヒサアキ

FUJITA H. 藤田尚昌

藤田尚昌フジタヒサアキ