WAKUI Michihisa 和久井道久

… Alternative Names

和久井道久ワクイミチヒサ

和久井直久ワクイミチヒサ

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Researcher Number	60252574
Other IDs
External Links
Affiliation (Current)	2025: 関西大学, システム理工学部, 教授
Affiliation (based on the past Project Information) *help	2010 – 2012: 関西大学, システム理工学部, 准教授 2009: 関西大学, システム理工学部, 講師 2007 – 2008: Kansai University, システム理工学部, 専任講師 2002 – 2003: 大阪大学, 大学院・理学研究科, 助手 1996 – 2000: 大阪大学, 大学院・理学研究科, 助手 1994 – 1995: 大阪大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Geometry Except Principal Investigator Algebra / Algebra / Geometry
Keywords	Principal Investigator ホップ代数 / 表現論 / 環論 / トポロジー / 代数学 / 結び目 / 圏同値 / 普遍R行列 / 有限群 / 表現環 … More / 不変量 / リボンホップ代数 / テンソル圈 / 3次元多様体 … More Except Principal Investigator 表現論 / representation theory / 共形場理論 / 頂点作用素代数 / リーマン面 / 双曲構造 / 3次元多様体 / 結び目 / mathematical physics / vertex algebra / vertex operator / algebraic geometry / conformal field theory / モジュラー変換 / 共形ブロック / 数理物理 / 数理物理学 / 頂点作用素 / 代数幾何 / Defect group / Modular representation / Perfect isometry / Cohomology group / Shintani descent / Dade conjecture / Block algebra / Broue's conjecture / 導来同値 / パーフェクトアイソメトリ / 単純群 / シュバレー群 / 森田同値 / コホモロジー / 不足群 / モジュラー表現 / パーフェクトアイソメトリ / コホモロジー群 / 新谷ディセント / デイド予想 / ブロック多元環 / ブルーエ予想 / finite type invariant / quantum invariant / vertey operator algebra / 3-dimensional manifold / Knot theory / Riemann surface / 量子摂動不変量 / ウェブ図 / 写像類群 / 有限群 / 双曲幾何 / 低次元位相幾何 / 有限型不変量 / 量子不変量 / 3次元多様体論 / 結び目理論 / 石田複体 / dualizing complex / linearity defect / Castelnuovo-Mumford regularity / toric face ring / ポアンカレ・ヴェルディエ双対性 / 局所双対性 / 単体的半順序集合 / 双対化複体 / Koszul双対性 / 導来圏 / アファイン半群環 / Stanley-Reisner環 / 組合せ論的可換代数 / 離散群 / Riley Slice / 曲面束 / ファイバー結び目 / フォード領域 / 標準的分解 / 錐多様体 / 2橋結び目 / 手術表示 / 周期絡み目 / 軌道体 / 錐多樣体 / 解消トンネル / Mackey functor / crossed Buenside ring / bicategory / topos / code / MacMilliams identity / monoidal category / category / 有限生成群の母関数 / 種 / カテゴリーの母関数 / バーンサイド環 / 有限群のモジュラー表現 / マッキー関手 / モノイダルカテゴリー / 高次元カテゴリー / 共形ベクトル / ボゾン / 頂点代数 / Kruskal-Katona定理 / グレブナ-基底 / Cohen-Macaulay型 / 単体的複体 / 凸多面体 / 単項式イデアル / 有限自由分解 / 多項式環 / ゼータ関数 / 絡み目 / ブレイド群 Less

Research on variants of the polynomial invariant of Hopf algebrasPrincipal Investigator
- Principal Investigator
  
  WAKUI Michihisa
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kansai University
RESEARCH ON THE REPRESENTATION CATEGORIES OF HOPF ALGEBRAS BY USING THEIR BRAIDING STRUCTURESPrincipal Investigator
- Principal Investigator
  
  WAKUI Michihisa
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kansai University
Application of Koszul duality to commutative algebra
- Principal Investigator
  
  YANAGAWA Kouji
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kansai University
Applications of Cohomology groups and Shintani descent to Broue's conjecture
- Principal Investigator
  
  UNO Katsuhiro
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka Kyoiku University
  Osaka University
Representation theory of vertex operator algobras and contormal tield theory
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
ホップ代数と低次元多様体の不変量Principal Investigator
- Principal Investigator
  
  和久井道久
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
結び目の解消トンネルと双曲構造
- Principal Investigator
  
  SAKUMA Makoto
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Osaka University
Quantum structure of Riemann surfaces and its application to low-climensional topology
- Principal Investigator
  
  MURUKAMI Jun
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Osaka University
高次元カテゴリー論による群の表現論の基礎付け
- Principal Investigator
  
  吉田知行
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
頂点作用素代数の数理物理学への応用
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
単項式イデアルの極小自由分解の研究
- Principal Investigator
  
  日比孝之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
ブレイド群の表現論
- Principal Investigator
  
  MURUKAMI Jun
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University

All 2013 2012 2011 2010 2009 2008 2007

All Journal Article Presentation

[Journal Article] Schrodinger representations of Drinfel'd doubles of Hopf algebras from the viewpoint of tensor Morita invariants2013
- Author(s)
  和久井道久
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1840 Pages: 89-108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540058
[Journal Article] Polynomial invariants of finite-dimensional Hopf algebras derived from braiding structures2009
- Author(s)
  和久井道久
- Journal Title
  
  Proceedings of the 41th Symposium on Ring Theory and Representation theory 41
  
  Pages: 96-105
- Data Source
  KAKENHI-PROJECT-19540025
[Journal Article] Polynomial invariants of finite-dimensional Hopf algebras derived from braiding structures2009
- Author(s)
  和久井道久
- Journal Title
  
  Proceedings of the 41st Symposium on Ring Theory and Representation Theory
  
  Pages: 96-105
- Data Source
  KAKENHI-PROJECT-19540025
[Presentation] Schrodinger representations of Drinfel'd doubles of Hopf algebras from the viewpoint of tensor Morita invariants2012
- Author(s)
  和久井道久
- Organizer
  研究集会「ホップ代数と量子群-応用の可能性」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-09-04
- Data Source
  KAKENHI-PROJECT-22540058
[Presentation] 球面構造を用いたホップ代数の多項式不変量の変種2012
- Author(s)
  和久井道久
- Organizer
  可微分写像の特異点とその応用
- Place of Presentation
  日本大学文理学部
- Data Source
  KAKENHI-PROJECT-22540058
[Presentation] Schrodinger representations of Drinfel’d doubles of Hopf algebras from the viewpoint of tensor Morita invariants2012
- Author(s)
  和久井道久
- Organizer
  ホップ代数と量子群---応用の可能性
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-22540058
[Presentation] 球面構造を用いたホップ代数の多項式不変量の変種2012
- Author(s)
  和久井道久
- Organizer
  研究集会「可微分写像の特異点とその応用」
- Place of Presentation
  日本大文理学部
- Year and Date
  2012-12-10
- Data Source
  KAKENHI-PROJECT-22540058
[Presentation] 再考「On Dijkgraaf-Witten invariants of 3-manifolds」2011
- Author(s)
  和久井道久
- Organizer
  結び目の量子化とそのカテゴリー化
- Place of Presentation
  早稲田大学(東京都)
- Year and Date
  2011-08-25
- Data Source
  KAKENHI-PROJECT-22540058
[Presentation] Tensor Morita invariants of finite-dimensional Hopf algebras associated with the Hopf link2010
- Author(s)
  和久井道久
- Organizer
  ホップ代数と量子群
- Place of Presentation
  筑波大学
- Year and Date
  2010-10-18
- Data Source
  KAKENHI-PROJECT-22540058
[Presentation] Tensor Morita invariants of finite-dimensional Hopf algebras associated with the Hopf link2010
- Author(s)
  和久井道久
- Organizer
  研究集会「ホップ代数と量子群」
- Place of Presentation
  筑波大学
- Year and Date
  2010-10-18
- Data Source
  KAKENHI-PROJECT-22540058
[Presentation] Polynomial invariants of representation categories of semisimple and cosemisimple Hopf algebras2008
- Author(s)
  和久井道久
- Organizer
  第41回環論および表現論シンポジウム
- Place of Presentation
  静岡大学
- Year and Date
  2008-09-06
- Data Source
  KAKENHI-PROJECT-19540025
[Presentation] On the Turaev-Viro-Ocneanu invariant of 3-manifolds derived from generalized E_6-subfactors2007
- Author(s)
  和久井道久
- Organizer
  研究集会「Intelligence of Low Dimensional Topology兼拡大KOOKセミナー」
- Place of Presentation
  大阪市立大学
- Year and Date
  2007-09-29
- Data Source
  KAKENHI-PROJECT-19540025
[Presentation] ホップ代数の積分を用いて定義される3次元多様体の不変量(概説)2007
- Author(s)
  和久井道久
- Organizer
  2+1次元トポロジーの新しい流れ
- Place of Presentation
  早稲田大学
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-19540025
[Presentation] ホップ代数の表現圏に対する多項式不変量2007
- Author(s)
  和久井道久
- Organizer
  数学特別セミナー
- Place of Presentation
  筑波大学
- Year and Date
  2007-08-04
- Data Source
  KAKENHI-PROJECT-19540025
[Presentation] ホップ代数の積分を用いて定義される3次元多様体の不変量(概説)2007
- Author(s)
  和久井道久
- Organizer
  研究会「2+1次元トポロジーの新しい流れ」
- Place of Presentation
  早稲田大学
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-19540025
[Presentation] On the Turaev-Viro-Ocneanu invariant of 3-manifolds derived from generalized E_6-subfactors(佐藤信哉氏との共同研究)2007
- Author(s)
  和久井道久
- Organizer
  研究集会「Intelligence of Low Dimensional Topology 兼拡大KOOKセミナー」
- Place of Presentation
  大阪市立大学
- Year and Date
  2007-08-29
- Data Source
  KAKENHI-PROJECT-19540025

1. MURUKAMI Jun (90157751)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. UNO Katsuhiro (70176717)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. KAWANAKA Noriaki (10028219)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. NAGATOMO Kiyokazu (90172543)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. YAMANE Hiroyuki (10230517)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. MATSUMURA Akitaka (60115938)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 奥山哲郎 (60128733)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. SAKUMA Makoto (30178602)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. TERAI Naoki (90259862)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. MORI Izuru (50436903)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. WAKAMATSU Takayoshi (00192435)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 横川光司 (40240189)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 宮西正宜 (80025311)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 日比孝之 (80181113)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 小川裕之 (70243160)

# of Collaborated Projects: 1 results

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16. 鈴木讓 (50216397)

# of Collaborated Projects: 1 results

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17. 佐竹郁夫 (80243161)

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18. 吉田知行 (30002265)

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19. 山田裕史 (40192794)

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20. 辻下徹 (10107063)

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21. 丹原大介 (50163712)

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22. 田村誠 (40309175)

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23. 増岡彰 (50229366)

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24. YANAGAWA Kouji (40283006)

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25. MIKI Kei (40212229)

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26. 山田修司 (30192404)

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27. 今野一宏 (10186869)

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28. 落合豊行 (70016179)

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29. HIRAKI Akira (90294181)

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30. WAKI Katsushi (30250591)

# of Collaborated Projects: 1 results

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31. HIDA Akihiko (50272274)

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32. KUNUGI Naoko (50362306)

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33. 馬場良始 (10201724)

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34. 河合浩明 (10222431)

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35. 宇佐美陽子 (90151993)

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36. 越谷重夫 (30125926)

# of Collaborated Projects: 1 results

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37. OHYAMA Yousuke (10221839)

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38. 伊達悦朗 (00107062)

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39. 坂根由昌 (00089872)

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WAKUI Michihisa 和久井 道久

和久井 道久 ワクイ ミチヒサ

和久井 直久 ワクイ ミチヒサ

Research Projects

Research Products

Co-Researchers

Research on variants of the polynomial invariant of Hopf algebrasPrincipal Investigator

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RESEARCH ON THE REPRESENTATION CATEGORIES OF HOPF ALGEBRAS BY USING THEIR BRAIDING STRUCTURESPrincipal Investigator

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ホップ代数と低次元多様体の不変量Principal Investigator

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[Journal Article] Schrodinger representations of Drinfel'd doubles of Hopf algebras from the viewpoint of tensor Morita invariants2013

Author(s)

Journal Title

Data Source

[Journal Article] Polynomial invariants of finite-dimensional Hopf algebras derived from braiding structures2009

Author(s)

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Data Source

[Journal Article] Polynomial invariants of finite-dimensional Hopf algebras derived from braiding structures2009

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Journal Title

WAKUI Michihisa 和久井道久

和久井道久ワクイミチヒサ

和久井直久ワクイミチヒサ