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FUJITA Hisaaki  藤田 尚昌

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… 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

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

    (17 results)
  • Research Products

    (19 results)
  • Co-Researchers

    (32 People)
  •  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] 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] 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] 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 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] 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] 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] 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
      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
  • [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
  • 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

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