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MARUYAMA Kenichi  丸山 研一

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MARUYAMA Ken-ichi  丸山 研一

丸山 研一

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Researcher Number 70173961
Other IDs
Affiliation (based on the past Project Information) *help 2009 – 2011: Chiba University, 教育学部, 教授
1991 – 2004: 千葉大学, 教育学部, 助教授
1988: 千葉大学, 教育学部, 助教授
Review Section/Research Field
Principal Investigator
Geometry / Geometry
Except Principal Investigator
解析学 / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Geometry / 代数学・幾何学
Keywords
Principal Investigator
ホモトピー論 / 自己同型群 / 冪零群 / 代数的位相幾何学 / 代数群 / ホモトピー同値 / Nilpotent groups / Automorphism groups / Homotopy sets / Homotopy theory … More / Algebraic topology / 自己ホモトピー集合 / ホモトピー類 / Algebraic Group / Nilpotent group / Homotopy Theory / Algebraic Topology / 巾零群論 / 群論 / 自己同型 / 位相幾何学 / リー群 / ベキ零群 / 局所化 / ホモロジー論 … More
Except Principal Investigator
マルコフ決定過程 / 有限群 / character ring / irreducible character / 有限群の指標環 / 有限群の既約指標 / 有限群の表現 / quantum invariant / homotopy group / Hopf invariant / LS-category / framed cobordism / genus / cobordism group / 漸近挙動 / 平均コスト基準 / 最適制御 / ステファン問題 / 解の漸近挙動 / induced characters / modular representations of finite groups / induced modules / representations of finite groups / group algebra / finite group / 誘導指標 / 誘導加群 / 有限群のmodular表現 / 群環 / irreducible Brauer character / modular representations of groups / representations of groups / field / ring / group / Brauer既約指標 / 有限群のBrauer既約指標 / 有限群のモジュラー表現 / 体 / 環 / 群 / Optimal Policy / general Utility / Optimality Equation / Fuzzy Stopping / Markov Set-Chain / Fuzzy Dynamic System / Markov Decision Processes / Dynamic Programming / ファジイ決定 / 一般効用最適化 / ファジイ動的計画法 / ファジィ距離 / ファジィクラスターリング / 数適方程式 / ファジィ-ストッピングルール / ファジィ動的計画法 / 最適政策 / 一般効用 / 最適方程式 / ファジイ・ストップ / マルコフ・セット連鎖 / ファジイ動的システム / 動的計画法 / SKgroup / Witten invariant / SK-group / cobordism / homotopy equivalence / Chern-Simon invariant / group action / equivariant genus / ditterential manifold / SK group / 熱伝導制御 / 到達可能性 / 存在定理 / 適応制御 / 非定常ダム問題 / 自由境界 / 周期解 / 劣微分作用素 / 変分不等式 / 非線型発展方程式 / 界面の制御 / 処罰法 / 最適形状設計問題 / 空間的暖衝項 / 時間的暖衝項 / 非線形偏微分方程式 / 相転移問題 / 発展方程式 / 劣微分作用量 / 相転移 / 非線形作用素 / ポテンシャル / ファジー動的系 / 割り引き総コスト基準 / 最適政策の存在 / 最適化 / コホモロジー群 / クリフォード理論 / 誘導表現 / 表現環 / 指標環 / 指標 / 加群 / 自由境界問題 / 相転移・相分離 / 非線型偏微分方程式 / 非線型作用素 Less
  • Research Projects

    (15 results)
  • Research Products

    (16 results)
  • Co-Researchers

    (18 People)
  •  Symmetry from the homotopical viewpointPrincipal Investigator

    • Principal Investigator
      MARUYAMA Kenichi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Algebraic properties of homotopy classes in homotopy theoryPrincipal Investigator

    • Principal Investigator
      MARUYAMA Kenichi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  Induced modules over group algebras and induced characters of finite groups

    • Principal Investigator
      YAMAUCHI Kenichi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  On the structure of a character ring of a finite group

    • Principal Investigator
      YAMAUCHI Kenichi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  Homotopy theory in group theoretic aspectsPrincipal Investigator

    • Principal Investigator
      MARUYAMA Ken-ichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  On multiplicative genera related to deformation of smooth manifolds

    • Principal Investigator
      KAMATA Masayoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYUSHU UNIVERSITY
  •  Studies on Mathematical Structure of Dynamic Programming

    • Principal Investigator
      KURANO Masami
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Chiba University
  •  ホモトピー論に現れる群の研究Principal Investigator

    • Principal Investigator
      丸山 研一
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chiba University
  •  非線形作用素論と相転移現象の数学的研究

    • Principal Investigator
      蔵野 正美
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  非線形作用素論と相転移現象の数学的研究

    • Principal Investigator
      剱持 信幸
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  一般マルコフ決定過程と適応制御への応用

    • Principal Investigator
      蔵野 正美
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Chiba University
  •  クリフオード理論とモジュラー表現への応用

    • Principal Investigator
      山内 憲一
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  非線型作用素論と非線型偏微分方程式への応用

    • Principal Investigator
      KENMOCHI Nobuyuki
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  非線型現象と非線型偏微分方程式の研究

    • Principal Investigator
      剣持 信幸
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  計画数学における適応と制御についての研究

    • Principal Investigator
      蔵野 正美
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Chiba University

All 2011 2010 2009 2004 Other

All Journal Article Presentation

  • [Journal Article] On the rank of the group of self-homotopy equivalences2011

    • Author(s)
      丸山研一
    • Journal Title

      千葉大学教育学部研究紀要

      Volume: 59巻 Pages: 275-277

    • NAID

      120007065383

    • Data Source
      KAKENHI-PROJECT-21540068
  • [Journal Article] The groups of self-homotopy equivalences and the Tits alternative2011

    • Author(s)
      Ken-ichi Maruyama
    • Journal Title

      Bulletin of London Mathematical Society

      Volume: 43 Issue: 6 Pages: 1191-1197

    • DOI

      10.1112/blms/bdr053

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540068
  • [Journal Article] The groups of self-homotopy equivalences and the Tits alternative2011

    • Author(s)
      丸山研一
    • Journal Title

      Bulletin of London Mathematical Society

      Volume: Vol.43 Pages: 1191-1197

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540068
  • [Journal Article] On the rank of the group of self-homotopy equivalences2011

    • Author(s)
      丸山研一
    • Journal Title

      千葉大学教育学部紀要

      Volume: 59 Pages: 275-277

    • NAID

      120007065383

    • Data Source
      KAKENHI-PROJECT-21540068
  • [Journal Article] The nilpotency of self-homotopy sets2004

    • Author(s)
      Ken-ichi Maruyama
    • Journal Title

      Proceedings of the international conference on homotopy theory and related topics, Institute of Science and Technology(Korea University)

      Pages: 39-44

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540063
  • [Journal Article] The nilpotency of self-homotopy sets2004

    • Author(s)
      丸山 研一
    • Journal Title

      Proceedings of the international conference on homotopy theory and related topics, Korea University

      Pages: 39-44

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540063
  • [Journal Article] Determination of multiplicative nilpotency of homotopy sets

    • Author(s)
      丸山 研一
    • Journal Title

      Geometry and Topology Monographs(掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540063
  • [Journal Article] Determination of the multiplicative Nilpotency of self-homotopy sets

    • Author(s)
      Ken-ichi Maruyama
    • Journal Title

      Geometry and Topology Monographs (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540063
  • [Journal Article] Determination of the multiplicative nilpotency of seif-homotopy sets

    • Author(s)
      丸山 研一
    • Journal Title

      Geometry and Topology (発表予定)

    • Data Source
      KAKENHI-PROJECT-14540063
  • [Journal Article] π^*-kernels of Lie groups

    • Author(s)
      Ken-ichi Maruyama
    • Journal Title

      Transaction of American Math.Society (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540063
  • [Journal Article] π*-kernels of Lie groups

    • Author(s)
      丸山 研一
    • Journal Title

      Transaction of American Math.Society(掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540063
  • [Journal Article] π*-kernel of Lie groups

    • Author(s)
      丸山 研一
    • Journal Title

      Transactions of the American Mathematical Society (発表予定)

    • Data Source
      KAKENHI-PROJECT-14540063
  • [Presentation] The groups of self-homotopy equivalences and the Tits alternative2011

    • Author(s)
      丸山研一
    • Organizer
      トポロジーセミナー
    • Place of Presentation
      マラガ大学(スペイン)
    • Year and Date
      2011-09-21
    • Data Source
      KAKENHI-PROJECT-21540068
  • [Presentation] The groups of self-homotopy equivalences and the Tits alternative2010

    • Author(s)
      丸山研一
    • Organizer
      トポロジーセミナー
    • Place of Presentation
      ルーバンカトリック大学(ベルギー)
    • Year and Date
      2010-09-23
    • Data Source
      KAKENHI-PROJECT-21540068
  • [Presentation] 対称性をめぐって2009

    • Author(s)
      丸山研一
    • Organizer
      茨城大学理学部談話会(兼先端科学トピックス)
    • Place of Presentation
      茨城大学(水戸市)
    • Year and Date
      2009-11-10
    • Data Source
      KAKENHI-PROJECT-21540068
  • [Presentation] 対称性をめぐって2009

    • Author(s)
      丸山研一
    • Organizer
      茨城大学理学部談話会(兼先端科学トピックス)
    • Place of Presentation
      茨城大学
    • Year and Date
      2009-11-10
    • Data Source
      KAKENHI-PROJECT-21540068
  • 1.  KOSHIKAWA Hiroaki (60000866)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 2.  YAMAUCHI Kenichi (20009690)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 3.  UZAWA Masakazu (80009026)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  KURANO Masami (70029487)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 5.  KENMOCHI Nobuyuki (00033887)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 6.  IWASE Norio (60213287)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  TSUKIYAMA Kouzou (20093651)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KITAZUME Masaaki (60204898)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  KOSHITANI Shigeo (30125926)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  NOZAWA Sohei (20092083)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  河原田 秀夫 (90010793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KAMATA Masayoshi (60038495)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  HARA Tamio (10120205)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  NISHI Haruko (90274430)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  TAKATA Toshie (40253398)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  YOKOTA Yosiyuki (40240197)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  YOSHIDA Yuji (90192426)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  KADOTA Yoshinobu (90116294)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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