Sekiguchi Hideko 関口英子

… Alternative Names

関口英子セキグチヒデコ

SEKIGUCHI Hideko 関口英子

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Researcher Number	50281134
External Links
Affiliation (Current)	2023: 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: 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 Global analysis / Geometry / 解析学 Except Principal Investigator Basic analysis / 解析学 / Algebra / Basic analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator ペンローズ変換 / ユニタリ表現 / 有界対称領域 / 複素多様体 / 積分幾何 / 半単純リー群 / 概均質ベクトル空間 / 超幾何函数 / 表現の分岐則 / リー群 / グラスマン多様体 / 積分幾可 / エルミート対称空間 … More Except Principal Investigator … More 表現論 / リー群 / 分岐則 / 不連続群 / 解析学 / ユニタリ表現 / 極小表現 / 無重複表現 / 可視的作用 / 多重積分 / シュレーディンガーモデル / フーリエ変換 / 積分幾何 / ルート系 / 超幾何関数 / 確定特異点 / spherical function / 対称空間 / Verma加群 / 完全積分可能系 / 普遍包絡環 / primitive ideal / 幾何学 / 冪零軌道 / 高木レクチャー / 幕零軌道 / 幕零起動 / 代数解析 / 常微分方程式 / Kac-Moodyルート系 / 国際研究者交流 / 多国籍 / モノドロミー / 接続係数 / 等質空間 / 特殊関数 / 関数解析 / 簡約リー群 / 幾何的量子化 / シュレディンガーモデル / 超幾何函数 / マクドナルド多項式 / 球函数 / グラスマン多様体 / 合流型超幾何函数 / 配置空間 / Macdonald多項式 / Grassmann多様体 / hypergeometric function / Macdonald polynomial / Grassmannian / confluent hypergeometric function / configuration space / 保型形式 / ヘッケ環 / 球関数 / automorphic form / Hecke algebra / ポアソン変換 / Hardy空間 / Radon変換 / c-函数 / 最小多項式 / Verma 加群 / 単因子 / 量子化 / 完約リー環 / symmetric space / Poisson transform / Verma module / Hardy space / completely integrable system / Radon transform / unversal enveloping algebra / 微分方程式 / Whittaker関数 / Lie群 / 不確定特異点 / 境界値問題 / 超幾何微分方程式 / 完全積分可能量子系 / Whittaker模型 / 退化系列表現 / Whittakerモデル / Calogeo-Moser系 / 戸田系 / ベキ零軌道 / Differential equation / Representation theory / Completely integrable system / Hypergeometric function / Integral geometry / Regular singularities / Whittaker function / Lie group Less

無限次元表現の分岐則と大域解析
- Principal Investigator
  
  小林俊行
- 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
- 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

関口 英子 セキグチ ヒデコ

SEKIGUCHI Hideko 関口 英子

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Principal Investigator

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Penrose transform for indefinite Grassmannian manifoldsPrincipal Investigator

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

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

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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

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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

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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

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Sekiguchi Hideko 関口英子

関口英子セキグチヒデコ

SEKIGUCHI Hideko 関口英子