nagatomo kiyokazu 永友清和

… Alternative Names

NAGATOMO Kiyokazu 永友清和

永友清和

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Researcher Number	90172543
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院情報科学研究科, 招へい准教授
Affiliation (based on the past Project Information) *help	2018 – 2019: 大阪大学, 情報科学研究科, 招へい准教授 2014 – 2017: 大阪大学, 情報科学研究科, 准教授 2007 – 2009: Osaka University, Graduate School of Information Science and Technology, Associate Professor 2006: Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 助教授 2005: 大阪大学, 情報科学研究科, 助教授 … More 2002 – 2005: 大阪大学, 大学院・情報科学研究科, 助教授 1996 – 2001: 大阪大学, 大学院・理学研究科, 助教授 1993 – 1995: OSAKA UNIV., DEPT.MATHEMATICS ASSOCIATE PROFESSOR, 理学部, 助教授 1990 – 1992: 大阪大学, 理学部, 講師 1987 – 1988: 大阪大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Global analysis Except Principal Investigator Algebra / Algebra / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Geometry / Intelligent informatics / 代数学・幾何学
Keywords	Principal Investigator 頂点作用素代数 / 共形場理論 / テンソル圏 / リーマン面 / 表現論 / 頂点代数 / 保型形式 / 頂点作要素代数 / 無限次元代数 / Verlinde公式 … More / モジュライ空間 / 代数幾何 / 共形ベクトル / ボゾン / 一点関数 / 頂点作用素代数の指標 / モジュラー形式 / ベクトル値モジュラー形式 / 保型微分方程式 / モジュラー線型微分方程式 / 分類理論 / 指標 / モジュラー微分方程式 / Modular tensor category / Moduli space / Pointed Riemann surface / Conformal field Theory / カイラル代数 / D-加群 / 位相不変量 / 点付きリーマン面 / モジュラーなテンソル圏 / 点つきリーマン面 / mathematical physics / vertex algebra / vertex operator / representation theory / 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 / 微分 / リー環 / conformal代数 / Lie代数 / 圏同値 / リー代数 / 共形代数 / モジュラー / 作用素環論 / 量子化 / 戸田方程式 / 完全積分可能系 … More Except Principal Investigator 頂点作用素代数 / 共形場理論 / 量子群 / ホップ代数 / 表現論 / 超幾何微分方程式 / 準モジュラー形式 / モジュラー形式 / 波動方程式 / Z / Riemann surface / vertex operator algebra / 楕円曲線 / 結び目 / エルンスト方程式 / 散乱理論 / パンルヴェ方程式 / 位相不変量 / アーベル多様体 / 整数論 / ソリトン / スペクトル / 特異点 / 漸近展開 / 擬テータ関数 / 2重アイゼンシュタイン級数 / 2重ゼータ値 / 有限多重ゼータ値 / 多重ベルヌーイ数 / 共系場理論 / 多重ゼータ値 / Lie algebra / Morita equivalence / finite-dimensional algebra / conformal field theory / universal enveloping algebra / トリプレット代数 / ポアソン代数 / Riemann面 / Lie代数 / 森田同値 / 有限次元代数 / 普遍展開環 / Hypergeometric equations / Monodromy / The Painleve equations / 超幾何函数 / 超幾何方程式 / モノドロミ / Word problem of semigroups / Coxeter groupoids / Coxeter groups / 3Z quantum groups / Super quantum groups / Elliptic quantum groups / Elliptic Lie superalgebras / Elliptic Lie algebras / 楕円ルート系 / 楕円リー起代数 / 楕円リー超代数 / 半群の語問題 / コクセター群半群 / コクセター群 / 3Z量子群 / スーパー量子群 / 楕円量子群 / 楕円超リー代数 / 楕円リー代数 / Fourier coefficients / period polynomials / quasimodular forms / modular forms / 超特異楕円曲線 / アフィンスーパー代数 / extremal形式 / フーリエ係数 / 周期多項式 / Spin(7) manifolds / G_2 manifolds / Calabi-Yau manifolds / Hyper Kahler manifolds / ミラー対称性 / G2多様体 / モノポール / Spin(7)-多様体 / G_2-多様体 / Calabi-Yau多様体 / Spin(7)多様体 / G_2多様体 / カラビ・ヤオ多様体 / 超ケーラー多様体 / modular representation / shintani descent / Broue conjecture / perfect isometry / Dade's conjecture / フロベニウス写像 / 有限ユニタリ群 / シュバレー群 / モジュラー表現 / 新谷ディセント / ブルーエ予想 / パーフェクトアイソメトリ / デイド予想 / Number theory / Representaion theory / Vertex operator algebras / Toroidal superalgebras / Quantum groups / Superalgebras / 岩堀ヘッケ代数 / 量子包絡超代数 / 偏微分方程式 / 数理物理学 / スーパーリー代数 / 現論 / トロイダル超代数 / 超代数 / finite type invariant / quantum invariant / vertey operator algebra / representation theory / 3-dimensional manifold / Knot theory / 量子摂動不変量 / ウェブ図 / 写像類群 / 有限群 / 双曲幾何 / 双曲構造 / 3次元多様体 / 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 / リーマン面 / lranch and bound lechuzue / a prior knowledge / machine learning / Baysian Networks / MDL principle / ネットワーク構造 / 帰納推論 / 分岐限定法 / 事前知識 / 機械学習 / Bayesian Network / MDL原理 / L operators / semilinear elliptic equation / Schrodinger operator / Schur function / nilpotent Lie algebras / Onsager algebra / 巾零リー環 / 可解リー環 / 完全積分可能系 / principal realization / A^<(1)>_1 / L作用素 / 準線型楕円型方程式 / ミュレディンガー作用素 / Schur関数 / 冪零リー環 / オンサーガー代数 / Galois group / Division points / Elliptic curve / Abelian variety / Jacobian variety / Algebraic curve / ガロワ拡大 / 有理点群 / 等分方程式 / 超楕円曲線 / ガロワ群 / 等分点 / ヤコビ多様体 / 代数曲線 / Super Lie algebra / Singularity / Quantum group / Hecke algebra / Knot invariant / Ernst equation / テンパリー・リーブ代数 / ベルグマン核 / オービホールド / ヘーガード分解 / 基本群 / デル・ペッツオ曲面 / 局所ワイル群 / 超リー代数 / ルート系 / グラフ / ヘッケ環 / 重力場 / Manifold / Spectrum / Laplacian / Zeta Function / Quantum Mechanics / Scattering Theory / Wave Equation / Hyperbolic Equation / 幾何光学 / エルゴ-ド性 / ゼ-タ関数 / 特異性の伝播 / 多様体 / ラプラシアン / ゼ-タ-関数 / 量子力学 / 双曲型方程式 / ラソーターヨーク変換 / 遅れを持った偏微分方程式 / ずれの変換 / 時間変更 / 確率解析 / マルコフ過程 / ディリクレ空間 / ソリトン方程式 / Schrodinger方程式 / Woener汎関数の漸近展開 / 対称拡散過程 / 極限定理 / マルチンゲール理論 / Malliauin / Nichols代数 / スーパーLie代数 / 無限次元Lie代数 / スーパー代数 / ニコルス代数 / ワイル亜群 / デザイン / 数理物理 / 代数学 / 代数一般 / エクストリーマルモジュラー形式 / 多重アイゼンシュタイン級数 / 結び目不変量 / モジュライ空間 / 擬モジュラー形式 / 楕円モジュラー関数 / ベクトル値保型形式 / 球関数 / Langlands予想 / 志村対応 / Harder予想 / モジュライ / 超特異 / 特殊関数 / 微分作用素 / 次元公式 / L関数 / ヤコービ形式 / 半整数ウェイト / ラングランズ予想 / テータ関数 / 超特異アーベル多様体 / ホロノミー系 / ジーゲル保型形式 / セルバーグ跡公式 / 2次形式 / 跡公式 / ゼータ関数 / 保型形式 / 安定性 / 非線型発展方程式 / 定スカラー曲率 / ケーラー多様体 / 時間周期解 / 漸近安定性 / 希薄波解 / 進行波解 / 粘弾性体の方程式系 / 粘性的一次元保存則 / 非線型偏微分方程式 / 情報空間 / タウ関数 / 有理関数 / 戸田方程式 / ロトカ・ボルテラ方程式 / 差分スキーム / 非線形可積分系 / ゼーター関数 / 散乱論 / エルゴード性 / 特異性 / S行列 / シコレ-ヂィンガ-作用素 / 多体問題 / 強擬凸領域 / 境界挙動 / 再生核 / ゼゲ-核函数 / ベルグマン核函数 Less

Vertex operator algebras and modular differential equationsPrincipal Investigator
- Principal Investigator
  
  Nagatomo Kiyokazu
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Studies on conformal algebras and Lie algebrasPrincipal Investigator
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Study of modular/quasimodular forms and multiple zeta values appearing in various aspects of mathematics and physics
- Principal Investigator
  
  Kaneko Masanobu
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Studies on modular and quasimodular forms arising in various contexts in mathematics and physics
- Principal Investigator
  
  KANEKO Masanobu
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
New developments in representation theories of vertex operator algebras and their applications
- Principal Investigator
  
  MATSUO Atsushi
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Generalized quantum groups, including super and elliptic ones, and Weyl groupoids
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants
- Principal Investigator
  
  IBUKIYAMA Tomoyoshi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
共形場理論,作用素環論とモジュラーなテンソル圏Principal Investigator
- Principal Investigator
  
  永友清和
- Project Period (FY)
  2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Expansion and application of representation theory of vertex operator algebras by means of the universal enveloping algebras.
- Principal Investigator
  
  MATSUO Atsushi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
共形場理論の方法によるモジュライ空間上の連接層の構成Principal Investigator
- Principal Investigator
  
  永友清和
- Project Period (FY)
  2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Moduli space of pointecl autrves and conismal field theoryPrincipal Investigator
- Principal Investigator
  
  NAGATOMO Kiyokazu
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Elliptic Lie (super)algebras, affine Lie superalgebras and their quauntum groupsand their representation theories
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
The Painleve functions with solvable monodromy
- Principal Investigator
  
  OHYAMA Yosuke
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
共形場理論に関わる代数幾何と表現論Principal Investigator
- Principal Investigator
  
  永友清和
- Project Period (FY)
  2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Research of modular and quasimodular forms arising in various areas of mathematics and their application
- Principal Investigator
  
  KANEKO Masanobu
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERCITY
Representation theory of vertex operator algobras and contormal tield theoryPrincipal Investigator
- 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
Application of Shintani descent to the perfect isometry problem and Dade's conjecture
- Principal Investigator
  
  UNO Katsuhiro
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Hyper Kahler manifolds
- Principal Investigator
  
  GOTO Ryushi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- 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
Representation theory of the quantized enveloping algebras and the quantized enveloping superalgebras
- Principal Investigator
  
  YAMANE Hiroyuki
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Completely integrable systema and representation theory of infinite dimen-sional algebras
- Principal Investigator
  
  DATE Etsuro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Learning Baysian Networks based on the MDL principle
- Principal Investigator
  
  SUZUKI Joe
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Intelligent informatics
- Research Institution
  Osaka University
頂点作用素代数の数理物理学への応用Principal Investigator
- Principal Investigator
  
  永友清和
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
頂点作用素代数の数理物理学への応用Principal Investigator
- Principal Investigator
  
  永友清和
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
ケーラー多様体上のソリトン
- Principal Investigator
  
  榎一郎
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
Arithmetics on Jacobian Varieties
- Principal Investigator
  
  YAMAMOTO Yoshihiko
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
非線形可積分系の数理
- Principal Investigator
  
  中村佳正
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Doshisha University
積分可能系の量子化Principal Investigator
- Principal Investigator
  
  永友清和
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Osaka University
非線型偏微分方程式系の時間大域解の構造
- Principal Investigator
  
  MATSUMURA Akitaka
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
双曲型偏微分方程式の解の構造の研究
- Principal Investigator
  
  井川満
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Representations of Groups, Lie Algebras, and Algebras
- Principal Investigator
  
  KAWANAKA Noriaki
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
多体シュレ-ヂィンガ-作用素の研究
- Principal Investigator
  
  磯崎洋
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
多変数函数論に現れる再生核の不変式論
- Principal Investigator
  
  KOMATSU Gen
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Osaka University
Hyperbolic equations and its applications
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Osaka University
ディリクレ空間とマルコフ過程
- Principal Investigator
  
  中尾愼太郎
- 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
  Osaka University
確率過程および関連する解析学の研究
- Principal Investigator
  
  渡辺毅
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University

All 2020 2019 2018 2017 2016 2015 2013 2012 2011 2010 2008 2005 Other

All Journal Article Presentation Book

[Book] 線形代数とMathematica2012
- Author(s)
  谷口義治，永友清和
- Total Pages
  286
- Publisher
  牧野書店
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Vertex operator algebras with central charge 8 and 162020
- Author(s)
  G. Mason, K. Nagatomo, Y. Sakai
- Journal Title
  
  Contemporary mathematics (accepted for publication)
  
  Volume: 14
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05171
[Journal Article] Pseudo-characters of the symplectic fermions and modular linear differential equations2020
- Author(s)
  Y. Kurokawa, K. Nagatomo, Y. Sakai
- Journal Title
  
  Contemporary mathematics (accepted for publication)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05171
[Journal Article] Vertex operator algebras with central charges 164/5 and 236/72020
- Author(s)
  Y. Arike, K. Nagatomo,
- Journal Title
  
  Communications in Number Theory and Physics (accepted for publication)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05171
[Journal Article] Vertex operator algebras, minimal models, and modular linear differential equations of order 42018
- Author(s)
  Y. Arike, K. Nagatomo, Y. Sakai
- Journal Title
  
  J. Math. Soc. Japan70
  
  Volume: 70 Pages: 1347-1373
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05171
[Journal Article] Lie algebras, vertex operator algebras, and related topics2017
- Author(s)
  Y.~Arike, K.~Nagatomo, Y.~Sakai,
- Journal Title
  
  Contemp.~Math., 695J. Algebra
  
  Volume: 695 Pages: 175-204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05171
[Journal Article] The third order modular linear differential equations,2017
- Author(s)
  M.~Kaneko, K.~Nagatomo, Y.~Sakai, The third order modular linear differential equations, J. Algebra, \textbf{485}, 332--352 (2017).
- Journal Title
  
  J. Algebra,
  
  Volume: 485 Pages: 332-352
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05171
[Journal Article] Classification of vertex operator algebras with central charge 1/2 and -67/82016
- Author(s)
  Kiyokazu Nagatomo
- Journal Title
  
  Proceeding of Japan Academy Ser. A Math. Sci.
  
  Volume: 92 Pages: 33-37
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Affine vertex operator algebras and modular linear differential equations2016
- Author(s)
  Y. Arike, M. Kakeko, K. Nagatomo, Y. Sakai
- Journal Title
  
  Lett. Math. Phys.
  
  Volume: １０６ Pages: 693-718
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26610007
[Journal Article] Classification of vertex operator algebras with central charge 1/2 and -67/82016
- Author(s)
  K. Nagatomo, Y. Sakai
- Journal Title
  
  Proc. Japan Acad. Ser. A Math. Sci
  
  Volume: 92 Pages: 33-37
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26610007
[Journal Article] Classification of vertex operator algebras with central charge 1/2 and -67/82016
- Author(s)
  Kiyokazu Nagatomo and Yuich Sakai
- Journal Title
  
  Proceeding of Japan Academy Ser. A Math. Sci.
  
  Volume: 92 Pages: 33-37
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26610007
[Journal Article] Affine vertex operator algebras and modular linear differential equations2016
- Author(s)
  Masanobu Kaneko, Y. Arike, K. Nagatomo, Y. Sakai
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 印刷中
- NAID
  120007187839
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Conformal field theories , modular functors and modular tensor categories2015
- Author(s)
  Kiyokazu Nagatomo
- Journal Title
  
  Sugaku Expositions
  
  Volume: -
- NAID
  130004558953
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Conformal field theories, modular functors and modular tensor categories2015
- Author(s)
  Kiyokazu Nagatomo
- Journal Title
  
  Sugaku Expositions
  
  Volume: {28 Pages: 95-123
- NAID
  130004558953
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26610007
[Journal Article] Conformal field theories, modular functors and modular tensor categories2015
- Author(s)
  Kiyokazu Nagatomo
- Journal Title
  
  Sugaku Expositions
  
  Volume: 28 Pages: 95-123
- NAID
  130004558953
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Modular Forms and Second Order Ordinary Differential Equations : Applications to Vertex Operator Algebras2013
- Author(s)
  Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 103 (4) Issue: 4 Pages: 439-453
- DOI
  10.1007/s11005-012-0602-5
- NAID
  120005227214
- URL
  http://catalog.lib.kyushu-u.ac.jp/recordID/26122
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-23340115, KAKENHI-PROJECT-23654013, KAKENHI-PROJECT-24224001
[Journal Article] Some Remarks on Pseudo-Trace Functions for Orbifold Models Associated with Symplectic Fermions2012
- Author(s)
  Yusuke Arike, Kiyokazu Nagatomo
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 24 Issue: 02 Pages: 1350008-1350008
- DOI
  10.1142/s0129167x13500080
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] 共形場理論,モジュラー関手とモジュラーなテンソル圏2011
- Author(s)
  Kiyokazu Nagatomo, Akihiro Tsuchiya
- Journal Title
  
  数学
  
  Volume: 63巻第4号 Pages: 396-420
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] The triplet vertex operator algebras W(p) anf the restrcted quantum group bar{U}_q(sl_2) at q=e^{pii/p}2011
- Author(s)
  Kiyokazu Nagatomo, Akihiro Tsuchiya
- Journal Title
  
  Advanced studies in pure Mathematics
  
  Volume: 61 Pages: 1-49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340010
[Journal Article] Quasi-finite algebras graded by Hamiltonian and vertex operator algebras2010
- Author(s)
  A.Matsuo, K.Nagatomo, A.Tsuchiya
- Journal Title
  
  Moonshine-The First Quarter Century and Beyond
  
  Volume: 372 Pages: 282-329
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340009
[Journal Article] Quasi-finite algebras graded by Hamiltonian and vertex operator algebras Moonshine, The First Quarter Century and Beyond2010
- Author(s)
  A.Matsuo, Kiyokazu Nagatomo, A.Tsuchiya
- Journal Title
  
  Cambridge University Press(Ja.Lepowsky, J.McKay, M.P.Tuite)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340009
[Journal Article] Logarithmic Knot Invariants arising from Restricted Quantum group2008
- Author(s)
  Nagatomo, Kiyokazu, Murakami, Jun
- Journal Title
  
  International Journal of Mathematics 19-10
  
  Pages: 1203-1213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340009
[Journal Article] Logarithmic knot invariants arising from the restricted quantum group2008
- Author(s)
  Kiyokazu Nagatomo, J.Murakami
- Journal Title
  
  International Journal of Mathematics (IJM), Issue 10
  
  Pages: 1203-1213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340009
[Journal Article] Logarithmic knot invariants arising fromrestricted quantum groups2008
- Author(s)
  J. Murakami and K. Nagatomo
- Journal Title
  
  Internat. J.Math 19 No.10
  
  Pages: 1203-1213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] Logarithmic Knot Invariants arising from Restricted Quantum group2008
- Author(s)
  K. Nagatomo, J. Murakami
- Journal Title
  
  Int.J.Math. 19-10
  
  Pages: 1203-1213
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340009
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line with A.Tsuchiya2005
- Author(s)
  K., Nagatomo
- Journal Title
  
  Duke Math. J 128
  
  Pages: 393-471
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I. Theories over the projective line2005
- Author(s)
  K. Nagatomo and A. Tsuchiya
- Journal Title
  
  Duke Math. J. 128
  
  Pages: 393-471
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I2005
- Author(s)
  K.Nagatomo, A.Tsuchiya
- Journal Title
  
  Duke Mathematical Journal 128
  
  Pages: 393-471
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340014
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line2005
- Author(s)
  K.Nagatomo, A.Tsuchiya
- Journal Title
  
  Duke Mathematical Journal 128巻3号
  
  Pages: 393-471
- Data Source
  KAKENHI-PROJECT-17204002
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line2005
- Author(s)
  K.Nagatomo
- Journal Title
  
  Duke Mathematical Journal 128・3
  
  Pages: 393-471
- Data Source
  KAKENHI-PROJECT-16540026
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras. I. Theories over the projective line.2005
- Author(s)
  Kiyokazu Nagatomo, Akihiro Tsuchiya
- Journal Title
  
  Duke Mathematical Journal 128
  
  Pages: 393-471
- Data Source
  KAKENHI-PROJECT-17540012
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras. I. Theories over the projective line2005
- Author(s)
  Nagatomo, Kiyokazu
- Journal Title
  
  Duke Math.J. 128
  
  Pages: 393-471
- Data Source
  KAKENHI-PROJECT-15340014
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I2005
- Author(s)
  K.Nagatomo, A.Tsuchiya
- Journal Title
  
  Duke Mathematical Journal 128-3
  
  Pages: 393-471
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340014
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras. I.Theories over the projective line2005
- Author(s)
  K.Nagatomo, A.Tsuchiya
- Journal Title
  
  Duke Mathematical Journal 128(3)
  
  Pages: 393-471
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540012
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I: theories over the projective line with A. Tsuchiya2005
- Author(s)
  K. Nagatomo
- Journal Title
  
  Duke Math. J. 128
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras.I. Theories over the projective line.2005
- Author(s)
  Nagatomo, Kiyokazu, Tsuchiya, Akihiro
- Journal Title
  
  Duke Math.J. 128, no.3
  
  Pages: 393-471
- Data Source
  KAKENHI-PROJECT-16540191
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line2005
- Author(s)
  K.Nagatomo
- Journal Title
  
  Duke Mathematical Journal 128・3
  
  Pages: 393-471
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : theories over the projective line
- Author(s)
  Kiyokazu Nagatomo
- Journal Title
  
  Duke Math.Journal (発表予定)
- Data Source
  KAKENHI-PROJECT-16340007
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : Theories over the projective line
- Author(s)
  K.Nagatomo, A.Tsuchiya
- Journal Title
  
  Duke Math.J (発表予定)
- Data Source
  KAKENHI-PROJECT-16540026
[Journal Article] Conformal field theories associated to regular chiral vertex operator algebras I : Theories over the projective line
- Author(s)
  Kiyokazu Nagatomo
- Journal Title
  
  Duke Math.Journal (発表予定)
- Data Source
  KAKENHI-PROJECT-16634001
[Presentation] Vertex operator algebras whose dimensions of weight one spaces are 8 and 162019
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Vertex operator algebras and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05171
[Presentation] Modular liner differential equations2018
- Author(s)
  K. Nagatomo
- Organizer
  Vertex operator algebras and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05171
[Presentation] Modular forms of rational weights2018
- Author(s)
  K. Nagatomo
- Organizer
  Vertex Operator Algebras, Number Theory and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05171
[Presentation] Characterization of the minimal series of Virasoro vertex operator algebras2016
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Vertex Algebra and Quantum Groups
- Place of Presentation
  Banff Center, Canada
- Year and Date
  2016-02-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Characterization of the minimal series of Virasoro vertex operator algebras2016
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Vertex Algebra and Quantum Groups
- Place of Presentation
  Banff International Research Station, Banff Center, Alberta, Canada
- Year and Date
  2016-02-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610007
[Presentation] Classification of vertex operator algebras with central charge 1/2 and -67/82015
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Lie algebras, vertex operator algebras, and related topics
- Place of Presentation
  University of Notre Dame, USA
- Year and Date
  2015-08-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610007
[Presentation] Modular forms, 3rd order ordinary linear differential equations and affine vertex operator algebras2015
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Representation XI
- Place of Presentation
  Dubrovnik, Croatia
- Year and Date
  2015-06-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Modular forms, 3rd order ordinary linear differential equations and affine vertex operator algebras2015
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Representation XI
- Place of Presentation
  Dubrovnik, Croatia
- Year and Date
  2015-07-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610007
[Presentation] Classification of vertex operator algebras with central charge 1/2 and -67/82015
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Lie algebras, vertex operator algebras, and related topics
- Place of Presentation
  University of Notre Dame, USA
- Year and Date
  2015-08-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23340010
[Presentation] Affine VOA and modular linear differential equations
- Author(s)
  Kiyokazu Nagatomo
- Organizer
  Croatia Mathematical Society
- Place of Presentation
  Dubrovnik, Croatia
- Year and Date
  2015-06-21 – 2015-06-29
- Data Source
  KAKENHI-PROJECT-26610007

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nagatomo kiyokazu 永友 清和

NAGATOMO Kiyokazu 永友 清和

永友 清和

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Vertex operator algebras and modular differential equationsPrincipal Investigator

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Studies on conformal algebras and Lie algebrasPrincipal Investigator

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共形場理論,作用素環論とモジュラーなテンソル圏Principal Investigator

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共形場理論の方法によるモジュライ空間上の連接層の構成Principal Investigator

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Moduli space of pointecl autrves and conismal field theoryPrincipal Investigator

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共形場理論に関わる代数幾何と表現論Principal Investigator

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nagatomo kiyokazu 永友清和

NAGATOMO Kiyokazu 永友清和

永友清和