Sekiguchi Hideko 関口英子

… Alternative Names

SEKIGUCHI Hideko 関口英子

Less

Researcher Number	50281134
External Links
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2024: 東京大学, 大学院数理科学研究科, 准教授 2016 – 2020: 東京大学, 大学院数理科学研究科, 准教授 2011 – 2015: 東京大学, 数理(科)学研究科(研究院), 准教授 2013: 東京大学, 大学院数理科学研究科, 准教授 2012: 東京大学, 大学院・数理科学研究科, 准教授 … More 2006 – 2009: 東京大学, 大学院・数理科学研究科, 准教授 2006: 東京大学, 大学院数理科学研究科, 助教授 2002 – 2005: 東京大学, 大学院・数理科学研究科, 助教授 1996 – 2001: Kobe Univ., Dept.Math., Instructor, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Global analysis / Basic Section 11020:Geometry-related / 解析学 Except Principal Investigator Basic analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic analysis / Algebra / 解析学
Keywords	Principal Investigator 複素多様体 / ペンローズ変換 / 積分幾何 / 有界対称領域 / ユニタリ表現 / 超幾何函数 / 概均質ベクトル空間 / 半単純リー群 / リー群 / グラスマン多様体 … More / 表現の分岐則 / 等質空間 / 表現論 / エルミート対称空間 / 積分幾可 … More Except Principal Investigator 表現論 / 分岐則 / リー群 / 解析学 / 不連続群 / 幾何学 / primitive ideal / 普遍包絡環 / 完全積分可能系 / Verma加群 / 対称空間 / spherical function / 確定特異点 / 超幾何関数 / ルート系 / 積分幾何 / フーリエ変換 / シュレーディンガーモデル / 多重積分 / 可視的作用 / 無重複表現 / 極小表現 / ユニタリ表現 / Lie group / Whittaker function / Regular singularities / Integral geometry / Hypergeometric function / Completely integrable system / Representation theory / Differential equation / ベキ零軌道 / 戸田系 / Calogeo-Moser系 / Whittakerモデル / 退化系列表現 / Whittaker模型 / 完全積分可能量子系 / 超幾何微分方程式 / 境界値問題 / 不確定特異点 / Lie群 / Whittaker関数 / 微分方程式 / unversal enveloping algebra / Radon transform / completely integrable system / Hardy space / Verma module / Poisson transform / symmetric space / 完約リー環 / 量子化 / 単因子 / Verma 加群 / 最小多項式 / c-函数 / Radon変換 / Hardy空間 / ポアソン変換 / Hecke algebra / automorphic form / 球関数 / ヘッケ環 / 保型形式 / configuration space / confluent hypergeometric function / Grassmannian / Macdonald polynomial / hypergeometric function / Grassmann多様体 / Macdonald多項式 / 配置空間 / 合流型超幾何函数 / グラスマン多様体 / 球函数 / マクドナルド多項式 / 超幾何函数 / シュレディンガーモデル / 幾何的量子化 / 簡約リー群 / 関数解析 / 特殊関数 / 等質空間 / 接続係数 / モノドロミー / 多国籍 / 国際研究者交流 / Kac-Moodyルート系 / 常微分方程式 / 代数解析 / 幕零起動 / 幕零軌道 / 高木レクチャー / 冪零軌道 Less

高次元化ペンローズ変換を用いた実簡約リー群のユニタリ表現の幾何学的研究Principal Investigator
- Principal Investigator
  
  関口英子
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  The University of Tokyo
Branching problems of infinite-dimensional representations and global analysis
- Principal Investigator
  
  Kobayashi Toshiyuki
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  The University of Tokyo
Penrose transform for indefinite Grassmannian manifoldsPrincipal Investigator
- Principal Investigator
  
  SEKIGUCHI Hideko
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Infinite dimensional representations and global analysis
- Principal Investigator
  
  Kobayashi Toshiyuki
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Twistor transform for indefinite Grassmannian manifolds and the theory of infinite-dimensional representationsPrincipal Investigator
- Principal Investigator
  
  Sekiguchi Hideko
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Analysis of minimal representations and branching laws of infinite-dimensional representations
- Principal Investigator
  
  KOBAYASHI Toshiyuki
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Study of group representation and differential equations associated with root systems and its applications
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Transformation groups for geometric structures, global geometric analysis, and theory of branching laws of infinite dimensional representations
- Principal Investigator
  
  KOBAYASHI Toshiyuki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
  Kyoto University
The Radon-Penrose transforms and infinite dimensional representation theory, and their applications to the global analysis on non-compact complex homogeneous spacesPrincipal Investigator
- Principal Investigator
  
  SEKIGUCHI Hideko
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Systems of differential equations with group actions and their applications
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
開複素等質多様体上の積分幾何と特異な無限次元表現の実現Principal Investigator
- Principal Investigator
  
  関口英子
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
半単純リー群の既約表現を用いた非コンパクト複素等質多様体上のペンローズ変換の研究Principal Investigator
- Principal Investigator
  
  関口英子
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Kobe University
Systems of differential equations attached to representations of Lie groups
- Principal Investigator
  
  OSHIMA Toshio
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
半単純リー群の既約表現を用いた非コンパクト複素多様体上の調和解析Principal Investigator
- Principal Investigator
  
  関口英子
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Kobe University
Automorphic forms of several variables and spherical functions of homoge-neous spaces
- Principal Investigator
  
  YAMAZAKI Tadashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KOBE UNIVERSITY
有界対称領域上の微分方程式の大域解とペンローズ変換Principal Investigator
- Principal Investigator
  
  関口英子
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Kobe University
Special Functions in Many Variables
- Principal Investigator
  
  NOUMI Masatoshi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kobe University

All 2018 2017 2016 2013 2012 2011 2010 2009 2007 2006 2002 Other

All Journal Article Presentation

[Journal Article] Radon--Penrose transform between symmetric spaces2013
- Author(s)
  Hideko Sekiguchi
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 598
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540073
[Journal Article] Radon--Penrose transform between symmetric spaces2013
- Author(s)
  H. Sekiguchi
- Journal Title
  
  to appear in Contemporary Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540073
[Journal Article] Branching rules of singular unitary representations with respect to symmetric pairs (A_{2n-1}, D_n)2013
- Author(s)
  Hideko Sekiguchi
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 24 Issue: 04 Pages: 1350011-1350011
- DOI
  10.1142/s0129167x13500110
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540073
[Journal Article] Branching rules of singular unitary representations with respect to symmetric pairs $(A_{2n-1}, D_n)$2013
- Author(s)
  H. Sekiguchi
- Journal Title
  
  to appear in International Journal of Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540073
[Journal Article] Penrose transform for indefinite Grassmann manifolds2011
- Author(s)
  Hideko Sekiguchi
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540073
[Journal Article] Branching rules of Dolbeault cohomology groups over indefinite Grassmannian manifolds2011
- Author(s)
  Hideko Sekiguchi
- Journal Title
  
  Proceedings of the Japan Academy, Ser. A Mathematical Sciences
  
  Volume: 87
- NAID
  40018844395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540073
[Journal Article] 無限次元表現2010
- Author(s)
  H. Sekiguchi
- Journal Title
  
  数理科学 559
  
  Pages: 43-48
- Data Source
  KAKENHI-PROJECT-18540070
[Journal Article] 無限次元表現 --「無限次元の魅力」2010
- Author(s)
  H.Sekiguchi
- Journal Title
  
  数理科学(サイエンス社) 559
  
  Pages: 43-48
- Data Source
  KAKENHI-PROJECT-18540070
[Journal Article] 連続群とその表現論を学ぶための本2007
- Author(s)
  H. Sekiguchi
- Journal Title
  
  応用数理 (日本応用数理学会誌) 17
  
  Pages: 624-624
- NAID
  110006436337
- Data Source
  KAKENHI-PROJECT-18540070
[Journal Article] 表現論とペンローズ変換2006
- Author(s)
  H. Sekiguchi
- Journal Title
  
  数理科学 520
  
  Pages: 34-40
- Data Source
  KAKENHI-PROJECT-18540070
[Journal Article] 表現論とペンローズ変換2006
- Author(s)
  関口英子
- Journal Title
  
  数理科学 520
  
  Pages: 34-40
- Data Source
  KAKENHI-PROJECT-18540070
[Journal Article] The Penrose transform for Sp(n, R) and singular unitary representations2002
- Author(s)
  H.Sekiguchi
- Journal Title
  
  Journal of the Mathematical Society of Japan 54
  
  Pages: 216-253
- NAID
  10007767590
- Data Source
  KAKENHI-PROJECT-14740117
[Journal Article] Penrose transform for indefinite Grassmann manifolds
- Author(s)
  H.Sekiguchi
- Journal Title
  
  International Journal of Mathematics (accepted) (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540070
[Journal Article] Penrose transform for indefinite Grassmann manifolds
- Author(s)
  H. Sekiguchi
- Journal Title
  
  accepted for publication in International Journal of Mathematics
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540070
[Presentation] Representations of semisimple Lie groups and Penrose transform2018
- Author(s)
  Hideko Sekiguchi
- Organizer
  Tokyo-Lyon Conference in Mathematics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05122
[Presentation] Representations of semisimple Lie groups and Penrose transform2017
- Author(s)
  Hideko Sekiguchi
- Organizer
  トポロジー火曜セミナー，リー群論・表現論セミナーの合同セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05122
[Presentation] Representations of Semisimple Lie Groups and Penrose transform2016
- Author(s)
  Hideko Sekiguchi
- Organizer
  Colloquium, Reims University
- Place of Presentation
  Reims University, France
- Year and Date
  2016-09-27
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05122
[Presentation] Penrose transform between symmetric spaces2013
- Author(s)
  Hideko Sekiguchi
- Organizer
  The Asian Mathematical Conference(AMC2013)
- Place of Presentation
  BEXCO, Busan, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-23540073
[Presentation] Penrose transform between symmetric spaces2012
- Author(s)
  Hideko Sekiguchi
- Organizer
  2012 Joint Mathematics Meetings, AMS Special Session on Radon Transforms and Geometric Analysis in Honor of Sigurdur Helgason(招待講演)
- Place of Presentation
  Boston (アメリカ合衆国)
- Data Source
  KAKENHI-PROJECT-23540073
[Presentation] Penrose transform between symmetric space2009
- Author(s)
  H. Sekiguchi
- Organizer
  Conference in honor of Toshio Oshima' s 60th birthday "Differential Equations and symmetric Spaces"
- Place of Presentation
  The University of Tokyo, Japan
- Data Source
  KAKENHI-PROJECT-18540070
[Presentation] Penrose transform between symmetric spaces2009
- Author(s)
  H. Sekiguchi
- Organizer
  Conference in honor of Toshio Oshima's 60th birthday "Differential Equations and Symmetric Spaces"
- Place of Presentation
  University of Tokyo, Japan
- Data Source
  KAKENHI-PROJECT-18540070
[Presentation] Radon-Penrose transform for the quantization of elliptic orbits2006
- Author(s)
  H. Sekiguchi
- Organizer
  International Conference "Integral Geometry and Harmonic Analysis" (organizers : Fulton Gonzalez, Tomoyuki Kakehi, Toshio Oshima)
- Place of Presentation
  University of Tsukuba, Japan
- Data Source
  KAKENHI-PROJECT-18540070
[Presentation] Penrose transform between symmetric spaces
- Author(s)
  H. Sekiguchi
- Organizer
  Conference in honor of Toshio Oshima's 60^<th> birthday "Differential Equations and Symmetric Spaces"
- Data Source
  KAKENHI-PROJECT-18540070

1. KOBAYASHI Toshiyuki (80201490)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. OSHIMA Toshio (50011721)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. TERADA Itaru (70180081)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. ODA Takayuki (10109415)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. MATUMOTO Hisayosi (50272597)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. OCHIAI Hiroyuki (90214163)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. SEKIGUCHI Jiro (30117717)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. HIRACHI Kengo (60218790)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. SASAKI Atsumu (60514453)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. KOHNO Toshitake (80144111)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. TAKAYAMA Nobuki (30188099)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. YAMAZAKI Tadashi (30011696)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. MATSUKI TOSHIHIKO (20157283)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. SHIMENO Nobukazu (60254140)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. KANAI Masahiko (70183035)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. SASAKI Takeshi (00022682)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. TAKANO Kyoichi (10011678)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 樋口保成 (60112075)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. MURASE Atsushi (40157772)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. SUGANO Takashi (30183841)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. SAITO Masahiko (80183044)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Sekiguchi Hideko 関口 英子

SEKIGUCHI Hideko 関口 英子

Research Projects

Research Products

Co-Researchers

高次元化ペンローズ変換を用いた実簡約リー群のユニタリ表現の幾何学的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Penrose transform for indefinite Grassmannian manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Twistor transform for indefinite Grassmannian manifolds and the theory of infinite-dimensional representationsPrincipal 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

The Radon-Penrose transforms and infinite dimensional representation theory, and their applications to the global analysis on non-compact complex homogeneous spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

開複素等質多様体上の積分幾何と特異な無限次元表現の実現Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

半単純リー群の既約表現を用いた非コンパクト複素等質多様体上のペンローズ変換の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

半単純リー群の既約表現を用いた非コンパクト複素多様体上の調和解析Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Sekiguchi Hideko 関口英子

SEKIGUCHI Hideko 関口英子