NOMURA Takaaki 野村隆昭

Researcher Number	30135511
Other IDs
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Affiliation (based on the past Project Information) *help	2019: 大阪市立大学, 数学研究所, 特別研究員 2016 – 2018: 九州大学, 数理学研究院, 教授 2015: 九大, 大学院理学研究科, 教授 2012 – 2015: 九州大学, 数理(科)学研究科(研究院), 教授 2005 – 2009: Kyushu University, Faculty of Mathematics, Professor, 大学院・数理学研究院, 教授 … More 2005 – 2006: 九州大学, 大学院数理学研究院, 教授 1995 – 2004: Kyoto Univ., Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 2001: Graduate School of Science, Kyoto University, Associate Professor, 大学院・理学(系)研究科(研究院), 助教授 1996: 京都大学, 大学院理学研究科, 助教授 1992 – 1994: 京都大学, 理学部, 助教授 1989 – 1991: 京都大学, 理学部, 講師 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / Basic Section 12010:Basic analysis-related / 解析学 Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis / Basic analysis / 代数学・幾何学 / Geometry / Algebra / Geometry
Keywords	Principal Investigator ジョルダン代数 / 等質錐 / 等質開凸錐 / ジーゲル領域 / 向き付けグラフ / クラン / 調和解析 / リー群 / 対称錐 / 正定値対称行列 … More / 左対称代数 / 非結合的代数 / 基本相対不変式 / 等質ジーゲル領域 / 幾何学 / 関数解析学 / 解析学 / 非可換調和解析 / 有界等質領域 / ケーリー変換 / ラプラシアン / ポアッソン核 / 分裂可解リー群 / 概均質ベクトル空間 / 等質空間 / 対称錐の特徴付け / 等質錐の行列実現 / Hobsonの公式 / 双対ペア / リー群の表現 / 球面調和函数 / ホブソンの公式 / Jordan algebra / tube domain / symmetric cone / homogenous cone / normal j-algebra / pseudoinverse map / Cayley transform / Siegel domain / 対称錘 / 等質錘 / 管状領域 / 正規j代数 / 擬逆元写像 / Dual Pair / Capelli Identity / Multiplicity-free Action / Diffeomorphism Group / Berezin Fransformation / Jordan Algebra / Quantum Group / Lie Group / Harish-Chandra加群 / グラスマン多様体 / 包絡環 / 表現論 / 重複フリー作用 / Berezin 変換 / dual pair / Capelli等式 / 重複度フリー作用 / 微分同相群 / Berezin変換 / 量子群 / 有向グラフ / 関数論 / 双対領域 / 開凸錐 / ヘッセ代数 / 凸領域 / ヘッセ領域 / ベレジン変換 / ジーケル領域 … More Except Principal Investigator Capelli恒等式 / 表現論 / dual pair / 量子群 / ループ空間 / 無限対称群 / hypergeometric functions / invariant theory / 普遍包絡環 / 不変式論 / 特殊函数 / 群の表現 / semigroup domination / 対数Sobolev不等式 / 確率微分方程式 / Brownian snake / loop group / 不変式 / ループ群 / モジュライ空間 / 五角数定理 / 双対性 / ブラウン運動 / 保型表現 / 可視化 / 離散化 / スペシャル幾何 / tt*幾何 / エントロピー / 超曲面 / 可積分幾何 / スピン作用 / モーメント写像 / 等径関数 / トランスノーマル関数 / L2調和1形式 / リッチ流 / トランスレイティングソリトン / 平均曲率流 / 交叉理論 / 安定性 / ラグランジュ部分多様体 / フレアホモロジー / 交叉数 / ハミルトン変形 / ガウス写像 / 等径超曲面 / 共形型 / L2調和形式 / 極小ラグランジュ部分多様体 / polynomials of binomial type / universal enveloping algebra / duality / Capelli identities / spacial functions / 対称式 / Dual pair / 二項型多項式 / 超幾何 / character sam / character sheaf / representation / algebraic group / prehomogeneous vector sp. / 指標層 / 指標和 / 指標差 / 代数群 / 概均質ベクトル空間 / logarithmic Sobolev ineguality / Hodge-Kodaira opoerator / second fundamental form / multiplier / Littlewood-Paley ineguality / square field operator / interturning property / 準楕円性 / 基本解 / 反射壁Brown運動 / Dirichlet形式 / Brown運動 / Riesz変換 / 生成作用素の定義域 / Schrodinger作用素 / 半群の比較 / Littlewood-Paley不等式 / Hodge-Kodaira作用素 / 第2基本形式 / 乗法作用素 / Litlewood-Paley不等式 / 平方場作用素 / 半群の交換関係 / 半群の優評価 / Pfaphan / determinant / Copelli identity / invariant differential operations / representation theory / special functions / Wronski関係式 / パーマネント / 球函数 / リー環 / 対称群 / Poincare Birkhoff-Wittの定理 / 不偏包絡環 / Lie環 / 群行列式 / パフィアン / 行列式 / 超幾何函数 / 不変微分作用素 / representations of semisimple Lie groups / representations of algebras / representations of groups / 調和解析 / 無限次元均質空間上 / 量子情報理論 / 確率過程 / 数論 / 無限次元環の表現 / 無限次元群の表現論 / 半単純リー群の表現 / 環の表現 / logarithmic Sobolev inequality / spectrum / Ricci curvature / essential self-adjointness / inifinite dimensional analysis / stocastic differential equation / 共変微分 / Laplace作用素 / 半群の比較定理 / スペクトル / Ricci曲率 / 本質的自己共役性 / 無限次元解析 / Hausdorff dimension / Julia sets / Fractal sets / Riemann surface / Quasiconformal map / Kleinian groups / Complex dynamics / Teichmuller space / ハウスドルフ次元 / ジュリア集合 / フラクタル集合 / リーマン面 / 擬等角写像 / クライン群 / 複素力学系 / タイヒミュラー空間 / lattice spin system / complex dynamics of entirefunctions / bifurcation problem in dynamical system / bifurcations for equations in fluid dynamics / innovation problem / measure valued branching processes / Sobolev spaces on Wiener space / 分岐問題の計算機支援証明法 / 微分同相群 / Sobolev空間 / Wiener汎関数 / Wiener空間 / Malliavin解析 / Pauli作用素のスペクトル / 熱対流問題 / 熱核の近似スキーム / Euler-Maruyama近似 / Stochastic area / Malliavrin解析 / φ^4-格子場模型 / Berezin変換 / 無限次元Hodge-Kodaira型作用素 / マルコフ半群の比較定理 / 格子スピン系 / 整関数力学系の変形理論 / 力学系の分岐問題 / 流体方程式の解空間の分岐 / innovation問題 / 測度値分枝過程 / ウィナー汎関数のソボレフ空間 / vector bmdle / conformal field thery / Quantun homotopy type / Morse homotopy / Moise function / K-theor / free loop space / 代数ベクトル束 / 分類空間 / 自由ループ群 / Mose函数 / モジュライ室間 / 楕円コホモロジー / 自由ループ室間 / ベクトル束 / 共形場の理論 / 量子ホモトピー型 / モ-スホモトピー / モ-ス函数 / K-理論 / 自由ループ空間 / moduli space / q-difference operator / Painleve equation / matrix integral / quantum group / correlations / lattice model / アフィン・ルート系 / Jordan代数 / 楕円型量子群 / Bott周期性 / 無限次元代数 / KP階層 / 頂点作用素 / 可解格子模型 / 既約ユニタリ表現 / アーベル多様体 / ゲージ群 / qKZ方程式 / q差分作用素 / パンルベ方程式 / 行列積分 / 相関関数 / 格子模型 / 跡等式 / アノマリー / 和公式 / 結合法則 / トレース / 五画数定理 / 対数ソボレフ不等式 / リッチ曲率 / ウィナー空間 / ウィナー汎関数 / 条件付き測度 / リー群 / 保型L函数 / bass order / 多元環のorder / P進群の表現 / 既約表現 / 環積 / ユニタリ表現 / 離散群 / 半単純リ-群 / 微分同相写像の群 / 群のリ-ス積 / 無限置換群 / 離散群の表現 / 群のユニタリ表現 Less

Integrated study of homogeneous open convex cones and homogeneous Siegel domainsPrincipal Investigator
- Principal Investigator
  
  野村隆昭
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Osaka City University
Various studies of homogeneous open convex cones and homogeneous Siegel domainsPrincipal Investigator
- Principal Investigator
  
  Nomura Takaaki
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Algebraic structure and geometric harmonic analysis of homogeneous open convex cones and homogeneous real Siegel domainsPrincipal Investigator
- Principal Investigator
  
  NOMURA Takaaki
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Development of Integrable Geometry
- Principal Investigator
  
  Miyaoka Reiko
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
Geometric Harmonic Analysis on Homogeneous Cones and Homogeneous Siegel DomainsPrincipal Investigator
- Principal Investigator
  
  NOMURA Takaaki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
等質ヘッセ宣域上の調和解析学の構築Principal Investigator
- Principal Investigator
  
  野村隆昭
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
アノマリーとしての五角数定理の函数解析的研究
- Principal Investigator
  
  梅田亨
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Representation Theory and Duality associated with Non-commutative Special Functions
- Principal Investigator
  
  UMEDA Toru
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Geometric harmonic analysis on homogeneous Siegel domainsPrincipal Investigator
- Principal Investigator
  
  NOMURA Takaaki
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
  Kyoto University
Research on prehomogenecus vector spaces and representation theory of algebraic groups
- Principal Investigator
  
  GYOJA Akihiko
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
可解リー群上の調和解析の新展開Principal Investigator
- Principal Investigator
  
  野村隆昭
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Study of special functions based on representation and invariant theories
- Principal Investigator
  
  UMEDA Toru
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Multilateral research of stochastic analysis in infinite dimensional spaces
- Principal Investigator
  
  SHIGEKAWA Ichiro
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Studies on the theory of representations of groups and algebras
- Principal Investigator
  
  HIRAI Takeshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
Analysis and Applications of Teichmuller space
- Principal Investigator
  
  TANIGUCHI Masahiko
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
Stochastic analysis on a loop group
- Principal Investigator
  
  SHIGEKAWA Ichiro
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
Research on random phenomena by the methods of modern mathematics
- Principal Investigator
  
  WATANABE Shinzo
- Project Period (FY)
  1995 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
Analytic and geometric studies of group representations and their applicationsPrincipal Investigator
- Principal Investigator
  
  NOMURA Takaaki
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
確率過程論とloop空間上の確率解析
- Principal Investigator
  
  SHIGEKAWA Ichiro
- 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
  Kyoto University
Structure and symmetries of integrable systems
- Principal Investigator
  
  JIMBO Michio
- Project Period (FY)
  1993 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
Topologs of manifolds and mathematical plysics
- Principal Investigator
  
  KONO Akira
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
保型表現の研究
- Principal Investigator
  
  吉田敬之
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
代数群の不連続部分群の研究
- Principal Investigator
  
  土方弘明
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
無限離散群の構造と表現の研究
- Principal Investigator
  
  平井武
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
無限次元群及び離散群のユニタリ表現の研究
- Principal Investigator
  
  HIRAI Takeshi
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University

[Book] 球面調和函数と群の表現2018
- Author(s)
  野村隆昭
- Total Pages
  372
- Publisher
  日本評論社
- ISBN
  9784535798182
- Data Source
  KAKENHI-PROJECT-15K04901
[Book] Geometric and Harmonic Analysis on Homogeneous Spaces and Applications2017
- Author(s)
  Ali Baklouti and Takaaki Nomura (Eds.)
- Total Pages
  234
- Publisher
  Springer
- ISBN
  9783319651804
- Data Source
  KAKENHI-PROJECT-15K04901
[Book] 複素関数論講義2016
- Author(s)
  野村隆昭
- Total Pages
  290
- Publisher
  共立出版社
- Data Source
  KAKENHI-PROJECT-15K04901
[Book] 微分積分学講義2013
- Author(s)
  野村隆昭
- Publisher
  共立出版社
- Data Source
  KAKENHI-PROJECT-24540177
[Journal Article] A proof of Hobson's formula with the Euler operator2019
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Kyushu J. Math.
  
  Volume: 73
- NAID
  130007521574
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04901
[Journal Article] A PROOF OF HOBSON'S FORMULA WITH THE EULER OPERATOR2018
- Author(s)
  NOMURA Takaaki
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 72 Issue: 2 Pages: 423-427
- DOI
  10.2206/kyushujm.72.423
- NAID
  130007521574
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04901
[Journal Article] A characterization of symmetric cones by the degrees of basic relative invariants2016
- Author(s)
  T. Yamasaki and T. Nomura
- Journal Title
  
  Kyushu J. Math.
  
  Volume: 70
- NAID
  130005421167
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04901
[Journal Article] A CHARACTERIZATION OF SYMMETRIC CONES BY THE DEGREES OF BASIC RELATIVE INVARIANTS2016
- Author(s)
  T. Yamasaki and T. Nomura
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 70 Issue: 2 Pages: 237-257
- DOI
  10.2206/kyushujm.70.237
- NAID
  130005421167
- ISSN
  1340-6116, 1883-2032
- Language
  English
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04901
[Journal Article] REALIZATION OF HOMOGENEOUS CONES THROUGH ORIENTED GRAPHS2015
- Author(s)
  Takashi Yamasaki and Takaaki Nomura
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 69 Issue: 1 Pages: 11-48
- DOI
  10.2206/kyushujm.69.11
- NAID
  130005076150
- ISSN
  1340-6116, 1883-2032
- Language
  English
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540177
[Journal Article] Realization of homogeneous cones through oriented graphs2015
- Author(s)
  山崎貴史，野村隆昭
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1977
- NAID
  130005076150
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04901
[Journal Article] Basic relative invariants on the dual clans obtained by representations of Euclidean Jordan algebras2014
- Author(s)
  Hideto Nakashima and Takaaki Nomura
- Journal Title
  
  Rev. Roumaine Math. Pures Appl.
  
  Volume: 59 Pages: 443-451
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24540177
[Journal Article] Dual clans defined by representations of Euclidean Jordan algebras and the associated basic relative invariants2014
- Author(s)
  野村隆昭
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1877
- Data Source
  KAKENHI-PROJECT-24540177
[Journal Article] Clans defined by representations of Euclidean Jordan algebras and the associated basic relative invariants2013
- Author(s)
  Hideto Nakashima and Takaaki Nomura
- Journal Title
  
  Kyushu J. Math.
  
  Volume: 67 Pages: 163-202
- NAID
  130003364807
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540177
[Journal Article] Focusing on symmetry characterization theorems for homogeneous Siegel domains2010
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Sugaku Expositions 23(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] Focusing on symmetry characterization theorems for homogeneous Siegel domains2010
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Sugaku Expositions 23
  
  Pages: 47-67
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] An irreducible homogeneous non-selfdual cone of arbitrary rank linearly isomorphic to the dual cone2009
- Author(s)
  Hideyuki Ishi, Takaaki Nomura
- Journal Title
  
  Infinite Dimensional Harmonic Analysis IV
  
  Pages: 129-134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] An irreducible homogeneous non-selfdual cone of arbitrary rank linearly isomorphic to the dual cone2009
- Author(s)
  Hideyuki Ishi, Takaaki Nomura
- Journal Title
  
  Infinite-Dimensional Harmonic Analysis IV
  
  Pages: 129-134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] An irreducible homogeneous non-selfdual cone of arbitrary rank linearly isomorphic to the dual cone2009
- Author(s)
  Hideyuki Ishi and Takaaki Nomura
- Journal Title
  
  Infinite Dimensional Harmonic Analysis IV
  
  Pages: 129-134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] Irreducible homogeneous non-symmetric cones linearly isomorphic to the dual cones2008
- Author(s)
  Hideyuki Ishi, Takaaki Nomura
- Journal Title
  
  Contemporary Geometry and Topology and Related Topics
  
  Pages: 167-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] Tube domain and an orbit of a complex triangular group2008
- Author(s)
  Hideyuki Ishi, Takaaki Nomura
- Journal Title
  
  Math. Z. 259
  
  Pages: 679-711
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] Tube domain and an orbit of a complex triangular group2008
- Author(s)
  Hideyuki Ishi and Takaaki Nomura
- Journal Title
  
  Math. Z. 259
  
  Pages: 697-711
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] Irreducible homogeneous non-symmetric cones linearly isomorphic to the dual cones2008
- Author(s)
  Hideyuki Ishi, Takaaki Nomura
- Journal Title
  
  Cotemporary Geometry and Topology and Related Topics
  
  Pages: 167-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] Tube domain and an orbit of a complex triangular group.2008
- Author(s)
  Hideyuki Ishi, Takaaki Nomura
- Journal Title
  
  Math. Z.
  
  Pages: 697-711
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] Focusing on symmetry characterization theorems for homogeneous Siegel domains2007
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Sugaku Expositions (印刷中)
- Data Source
  KAKENHI-PROJECT-17654032
[Journal Article] Focusing on symmetry characterization theorems for homogeneous Siegel domains2007
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Sugaku Expositions (未定)(掲載決定)
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] On a certain 8-dimensional non-symmetric homogeneous cone2006
- Author(s)
  T.Nomura
- Journal Title
  
  Erwin Sroedinger Inst.Preprint series 1793
  
  Pages: 70-73
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] Tube domains and an orbit of a complex triangular group2006
- Author(s)
  Hideyuki Ishi, Takaaki Nomura
- Journal Title
  
  Kyushu University Preprint Series 3
- Data Source
  KAKENHI-PROJECT-17654032
[Journal Article] Spherical Fourier transforms of the Berezin kernels on symmetric domain2006
- Author(s)
  H.Ishi, T.Nomura
- Journal Title
  
  数理解析研究所講究録 1487
  
  Pages: 69-78
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] On a certain 8-dimensional non-symmetric homogeneous cone2006
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Erwin Schrodinger Inst. Preprint 1793
  
  Pages: 70-73
- Data Source
  KAKENHI-PROJECT-17654032
[Journal Article] On certain 8-dimensional non-symmetric homogeneous cone2006
- Author(s)
  T.Nomura
- Journal Title
  
  Erwin Schroedinger Inst. Preprint series 1793
  
  Pages: 70-73
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] Cayley変換像の凸性による対称管状領域の特徴付け2005
- Author(s)
  甲斐千舟, 野村隆昭
- Journal Title
  
  数理解析研究所講究録 1410
  
  Pages: 113-123
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] A characterization of symmetric tube domain by convexity of Cayley transform images2005
- Author(s)
  Chifune Kai, Takaaki Nomura
- Journal Title
  
  Differential Geom.Appl. 23-1
  
  Pages: 38-54
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] A characterization of symmetric cones through pseudoinverse maps2005
- Author(s)
  Chifune Kai, Takaaki Nomura
- Journal Title
  
  J.Math.Soc.Japan 57・1
  
  Pages: 195-215
- NAID
  10016419774
- Data Source
  KAKENHI-PROJECT-17654032
[Journal Article] A characterization of symmetric tube domains by convexity of Cayley transform images2005
- Author(s)
  Chifune Kai, Takaaki Nomura
- Journal Title
  
  Differential Geom.Appl. 23・1
  
  Pages: 38-54
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] 等質Siegel領域の対称性条件をめぐって2005
- Author(s)
  野村隆昭
- Journal Title
  
  数学 57・4
  
  Pages: 350-368
- NAID
  10017177392
- Data Source
  KAKENHI-PROJECT-17654032
[Journal Article] On a certain 8-dimensional non-symmetric homogeneous convex cone2005
- Author(s)
  Takaaki Nomura
- Journal Title
  
  表現論シンポジウム報告集
  
  Pages: 109-114
- NAID
  130008004802
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] A characterization of symmetric tube domains by convexity of Cayley transform images2005
- Author(s)
  Chifune Kai, Takaaki Nomura
- Journal Title
  
  Differential Geom. Appl. 23・1
  
  Pages: 38-54
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] 等質Siegel領域の対称性条件をめぐって2005
- Author(s)
  野村隆昭
- Journal Title
  
  数学 57
  
  Pages: 350-368
- NAID
  10017177392
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] A characterization of symmetric tube domains by convexity of Cayley transform images2005
- Author(s)
  Chifune Kai, Takaaki Nomura
- Journal Title
  
  Differential Geom.Appl. 23・1
  
  Pages: 38-54
- Data Source
  KAKENHI-PROJECT-17654032
[Journal Article] 等質Siegel領域の対称性条件をめぐって2005
- Author(s)
  野村隆昭
- Journal Title
  
  数学 57・4
  
  Pages: 350-368
- NAID
  10017177392
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] 等質Siegel領域の対称性条件をめぐって2005
- Author(s)
  野村隆昭
- Journal Title
  
  数学 57
  
  Pages: 350-368
- NAID
  10017177392
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] Focusing on symmetry conditions for homogeneous Siegel domains (in Japanese)2005
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Sugaku 57-4
  
  Pages: 350-368
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] On a certain 8-dimensional non-symmetric homogeneous convex cone2005
- Author(s)
  Takaaki Nomura
- Journal Title
  
  Reports on representation theory
  
  Pages: 109-114
- NAID
  130008004802
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] A characterization of symmetric cones through pseudoinverse maps2005
- Author(s)
  C.Kai, T.Nomura
- Journal Title
  
  J.Math.Soc.Japan 57
  
  Pages: 195-215
- NAID
  10016419774
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] On a certain 8-dimensional non-symmetric homogeneous convex cone2005
- Author(s)
  Takaaki Nomura
- Journal Title
  
  表現論シンポジウム報告集
  
  Pages: 109-114
- NAID
  130008004802
- Data Source
  KAKENHI-PROJECT-17654032
[Journal Article] A characterization of symmetric cones through pseudoinverse maps2005
- Author(s)
  Chifune Kai, Takaaki Nomura
- Journal Title
  
  J.Mats.Soc.Japan 57・1
  
  Pages: 195-215
- NAID
  10016419774
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] A characterization of symmetric tube domains by convexity of Cayley transform images2005
- Author(s)
  C.Kai, T.Nomura
- Journal Title
  
  Diff.Geom.Appl. 23
  
  Pages: 38-54
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] A characterization of symmetric tube domains by convexity of Cayley transform images
- Author(s)
  C.Kai, T.Nomura
- Journal Title
  
  in Diff.Geom.Appl. (発表予定)(to appear)
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] A characterization of symmetric tube domains by convexity of Cayley transform images
- Author(s)
  Chifune Kai, Takaaki Nomura
- Journal Title
  
  Diff.Geom.Appl. (発表予定)(To appear in)
- Data Source
  KAKENHI-PROJECT-14340044
[Journal Article] A characterization of symmetric tube domains by convexity of Cayley transform images
- Author(s)
  C.Kai, T.Nomura
- Journal Title
  
  Diff.Geom.Appl. (発表予定)
- Data Source
  KAKENHI-PROJECT-16340039
[Presentation] Minimum size matrix realization of a homogeneous cone2019
- Author(s)
  Takaaki Nomura
- Organizer
  Bolyai Institute (University of Szeged), Analysis Seminar
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Hobson の公式とその応用2018
- Author(s)
  野村隆昭
- Organizer
  2017年度表現論ワークショップ
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] 等質開凸錐についての最近の研究成果2018
- Author(s)
  野村隆昭
- Organizer
  行列解析の展開・２
- Invited
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Determinantal expressions of Bernoulli numbers2017
- Author(s)
  野村隆昭
- Organizer
  表現論ワークショップ
- Place of Presentation
  鳥取市
- Year and Date
  2017-01-07
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Hobsonの公式からHermite-Weber変換を経て (O(n), sl(2))-duality へ2017
- Author(s)
  野村隆昭
- Organizer
  名古屋大学調和解析セミナー
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Homogeneous open convex cones : recent results2017
- Author(s)
  Takaaki Nomura
- Organizer
  Mathematical Methods of Modern Statistics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Introductory talk regarding Jordan algebras and symmetric cones2017
- Author(s)
  Takaaki Nomura
- Organizer
  Order Structures, Jordan Algebras, and Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Realization of homogeneous open convex cones2017
- Author(s)
  Takaaki Nomura
- Organizer
  Seminar on Representation Theory and Number Theory
- Place of Presentation
  National University of Singapore
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Optimal Matrix Realization of Homogeneous Cones2016
- Author(s)
  Takaaki Nomura
- Organizer
  Geometry, Representation Theory, and Differential Equation
- Place of Presentation
  九州大学
- Year and Date
  2016-02-16
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Realizing Homogeneous Cones through Oriented Graphs2015
- Author(s)
  Takaaki Nomura
- Organizer
  The Eighth Congress of Romanian Mathematicians
- Place of Presentation
  UNIVERSITATEA ALEXANDRU IOAN CUZA din Iasi (Romania)
- Year and Date
  2015-06-26
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Realization of Homogeneous Cones through Oriented Graphs2015
- Author(s)
  山崎貴史，野村隆昭
- Organizer
  2015年度RIMS研究集会表現論および関連する調和解析と微分方程式
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-06-23
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] 向き付けグラフを介して等質開凸錐を具現化する2015
- Author(s)
  山崎貴史，野村隆昭
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-15K04901
[Presentation] Homogeneous convex cones and basic relative invariants2013
- Author(s)
  Takaaki Nomura
- Organizer
  Generalizations of Symmetric Spaces
- Place of Presentation
  Lorentz Center (the Netherlands)
- Invited
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Dual clans defined by representations of Euclidean Jordan algebras and the associated relative invariants2013
- Author(s)
  野村隆昭
- Organizer
  表現論および表現論の関連する諸分野の発展
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] From my forthcoming book2013
- Author(s)
  野村隆昭
- Organizer
  2013年度表現論ワークショップ
- Place of Presentation
  京都大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Basic relative invariants associated to homogeneous convex cones2013
- Author(s)
  Takaaki Nomura
- Organizer
  The 11th International Workshop on Differential Geometry and its Applications
- Place of Presentation
  Ploiesti University (Romania)
- Invited
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Jordan代数の表現から得られるclanの双対clan2013
- Author(s)
  中島秀斗，野村隆昭
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学（吉田キャンパス）
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] 等質開凸錐と基本相対不変式2013
- Author(s)
  野村隆昭
- Organizer
  広島大学大学院理学研究科数学専攻談話会
- Place of Presentation
  広島大学大学院理学研究科数学専攻
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Lorentz型のJordan代数の表現から得られるclan2013
- Author(s)
  中島秀斗，野村隆昭
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学（吉田キャンパス）
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Euclid型Jordan代数のclan構造における右乗法作用素の帰納的構造と行列式2013
- Author(s)
  野村隆昭
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学（吉田キャンパス）
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Homogeneous convex cones associated to representations of Euclidean Jordan algebras2012
- Author(s)
  Takaaki Nomura
- Organizer
  Algebra Geometry Mathematical Physics
- Place of Presentation
  Brno Univ. of Technology, Czech
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Homogeneous convex cones associated to representations of Euclidean Jordan algebras2012
- Author(s)
  Takaaki Nomura
- Organizer
  International Conference on Jordan Theory, Analysis and Related Topics
- Place of Presentation
  Chinese Univ. of Hong Kong, China
- Invited
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Herm(2,K)2012
- Author(s)
  野村隆昭
- Organizer
  2012年度表現論ワークショップ
- Place of Presentation
  鳥取市
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Homogeneous convex cones associated to representations of Euclidean Jordan algebras2012
- Author(s)
  Takaaki Nomura
- Organizer
  Harmonic Analysis, Operator Algebras and Representations
- Place of Presentation
  CIRM (Marseille), France
- Invited
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] Symmetry Characterization Theorems for Homogeneous Convex Cones and Siegel domains2009
- Author(s)
  Takaaki Nomura
- Organizer
  Harmonic Analysis and Partial Differential Equation
- Place of Presentation
  マラケシュ市(モロッコ)
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Symmetry characterization theorems for homogeneous convex cones and homogeneous Siegel domains2009
- Author(s)
  Takaaki Nomura
- Organizer
  Conference "Harmonic Analysis and Partial Differential Equations"
- Place of Presentation
  Marrakech (Morocco)
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Right multiplication operators in the clan structure of a Euclidean Jordan algebra2009
- Author(s)
  Takaaki Nomura
- Organizer
  Conference "Harmonic Analysis and Representation Theory of Lie Groups"
- Place of Presentation
  Tambov Univ. (Russia)
- Year and Date
  2009-04-22
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Right multiplication operators in the clanstructure of a EuclideanJordan algebra2009
- Author(s)
  Takaaki Nomura
- Place of Presentation
  Workshop, Tambov大学(Russia)
- Year and Date
  2009-04-22
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Homogeneous convex cones and basic relative invariants2008
- Author(s)
  Takaaki Nomura
- Organizer
  Hermitian Symmetric Spaces Jordan Algebras and Related Topics
- Place of Presentation
  Luminy (France)
- Year and Date
  2008-06-23
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Homogeneous convex cones and basic relative invariants2008
- Author(s)
  Takaaki Nomura
- Organizer
  Conferences "Harmonic Analysis, Operator Algebras and Representations", "Hermitian Symmetric Spaces, Jordan"
- Place of Presentation
  Luminy (France)
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Homogeneous convex cones and basic relative invariants2008
- Author(s)
  Takaaki Nomura
- Organizer
  Hermitian Symmetric Spaces, Jordan Algebras and Related Topics
- Place of Presentation
  Luminy (France)
- Year and Date
  2008-06-23
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Tube domains and basic relative invariants2007
- Author(s)
  Takaaki Nomura
- Organizer
  Workshop on Differential Geometry and its Applications
- Place of Presentation
  Babes-Bolyai大学(Romania)日独セミナー
- Year and Date
  2007-08-21
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Cayley transforms of a homogeneous Siegel domains2007
- Author(s)
  Takaaki Nomura
- Organizer
  Seminar "Harmonic Analysis"
- Place of Presentation
  Sfax Univ. (Tunisia)
- Year and Date
  2007-06-06
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Homogeneous Siegel domains2007
- Author(s)
  Takaaki Nomura
- Organizer
  第3回九州大学・釜慶大学合同シンポジウム
- Place of Presentation
  韓国・釜慶大学
- Year and Date
  2007-11-30
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Homogeneous Siegel domains- analysis and geometry2007
- Author(s)
  Takaaki Nomura
- Organizer
  The 3rd PKNU-KU Joint Symposium on Sciences
- Place of Presentation
  釜慶大学(韓国)
- Year and Date
  2007-12-01
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Tube domains and basic relative invariants2007
- Author(s)
  Takaaki Nomura
- Organizer
  JSPS-RFBR Workshop, Workshop "Differential Geometry and its Applications"
- Place of Presentation
  Tambov Univ. (Russia), Babes Bolyai Univ.
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Focusing on symmetry characterization theorems for homogeneous Siegel domains2007
- Author(s)
  Takaaki Nomura
- Place of Presentation
  Yaounde Univ. (Cameroon)
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] Realizing homogeneous cones through oriented graphs
- Author(s)
  Takaaki Nomura
- Organizer
  The Eighth Congress of Romanian Mathematicians
- Place of Presentation
  Iasi (Romania)
- Year and Date
  2015-06-26 – 2015-07-01
- Invited
- Data Source
  KAKENHI-PROJECT-24540177
[Presentation] 等質開凸錐を具現化する
- Author(s)
  野村隆昭
- Organizer
  表現論ワークショップ
- Place of Presentation
  鳥取市
- Year and Date
  2014-12-25 – 2014-12-27
- Data Source
  KAKENHI-PROJECT-24540177

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52. NAGATOMO Yasuyuki (10266075)

# of Collaborated Projects: 1 results

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53. YAMADA Kotaro (10221657)

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54. ISHIKAWA Goo (50176161)

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55. UMEHARA Masaaki (90193945)

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56. GUEST Martin (10295470)

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57. SHODA Toshihiro (10432957)

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58. FUTAKI Akito (90143247)

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59. FUJIOKA Atsushi (30293335)

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60. RASSMAN Wayne (50284485)

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61. TAMARU Hiroshi (50306982)

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62. 戸田宏 (60025236)

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63. 池部晃生 (00025280)

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64. 岩塚明 (40184890)

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65. 高信敏 (40197124)

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66. 青本和彦 (00011495)

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NOMURA Takaaki 野村 隆昭

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Integrated study of homogeneous open convex cones and homogeneous Siegel domainsPrincipal Investigator

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Various studies of homogeneous open convex cones and homogeneous Siegel domainsPrincipal Investigator

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Algebraic structure and geometric harmonic analysis of homogeneous open convex cones and homogeneous real Siegel domainsPrincipal Investigator

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Geometric Harmonic Analysis on Homogeneous Cones and Homogeneous Siegel DomainsPrincipal Investigator

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等質ヘッセ宣域上の調和解析学の構築Principal Investigator

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Geometric harmonic analysis on homogeneous Siegel domainsPrincipal Investigator

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可解リー群上の調和解析の新展開Principal Investigator

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NOMURA Takaaki 野村隆昭