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KAWANAKA Noriaki  川中 宣明

ORCIDConnect your ORCID iD *help
… Alternative Names

川中 宜明  カワナカ ノリアキ

川中 宣明

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Researcher Number 10028219
Affiliation (based on the past Project Information) *help 2009: 大阪大学, 大学院・情報科学研究科, 准教授
2007 – 2008: Osaka University, Graduate School of Information Science and Technology, Professor
2006: Osaka University, Graduate.School of Information Science and Technology, Associate Professor, 大学院情報科学研究科, 教授
2002 – 2005: Osaka Univ., Graduate school of Information Sience and technology, professor, 大学院・情報科学研究科, 教授
1998 – 2001: Graduate School of Science, Professor, 大学院・理学研究科, 教授 … More
2000: Osaka Univ., Graduate School of Science, Professor, 理学研究科, 教授
1996 – 1997: 大阪大学, 理学研究科, 教授
1996: 大阪大学, 大学院・理学研究科, 教授
1989 – 1995: Osaka Univ. Fac. Sci., Professor, 理学部, 教授
1988: 大阪大学, 理学部, 助教授
1986: 大阪大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
代数学・幾何学 / Algebra / Algebra
Except Principal Investigator
Algebra / 代数学・幾何学 / Algebra / Global analysis / 解析学
Keywords
Principal Investigator
ヘッケ環 / 量子群 / 結び目 / アフィン・リー代数 / ホップ代数 / グラフ / 有限群 / 代数群 / 表現論 / knot invariants … More / quantum groups / complex reflection groups / finite Chevalley groups / Hecke algebras / affine Lie algebras / 結び目不変量 / 複素鏡映群 / 有限シュヴァレー群 / Unitary Refrection Group / Finite Group / Association Scheme / Quantum Group / Kac-Moody Lie Algebra / 有限単純群 / アダマール行列 / 量子代数 / 統計力学 / 最高ウェイト加群 / スピン・モデル / フュージョン代数 / アソシエーションスキーム / コード理論 / モジュラー形式 / 鏡映群 / 相関関数 / 超幾何関数 / ユニタリ鏡映群 / アソシエーション・スキーム / カッツ・ムーディーリー環 / 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 / エルンスト方程式 / 基本群 / デル・ペッツオ曲面 / 局所ワイル群 / 超リー代数 / 特異点 / ルート系 / 重力場 / 絡み目の不変量 / 半単純リー環の共役類 / 既約表現 / フック公式 / ヤング図形 / 代数学 / アルゴリズム / シュアー多項式 / アダムス作用素 / 対称群 / 準結晶 / コクセタ-群 / ルート系の折り畳み / 準周期的点集合 / 有限群の表現 / リ-環 / 可解格子模型 / 変換群 / 多元環の表現 … More
Except Principal Investigator
表現論 / 代数群 / 量子群 / 頂点作用素代数 / ヘッケ環 / 結び目 / Shintani descent / Z / 有限Chevalley群 / Ariki-Koike algebra / 複素鏡映群 / 既約指標 / infinitesimal groups / D-modules / Demazure modules / twining character / Lusztig予想 / 最高ウェイト加群 / 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 / 数理物理学 / representation theory / 共形場理論 / リーマン面 / graded Betti number / lexsegment ideal / generic initial ideal / componentwise linear / Hecke algebras / algebraic groups / 代数群の作用 / 一般型代数曲面 / 量子不変量 / 指標層 / 虚数乗法論 / ホップ代数 / 超幾何函数 / ゼータ関数 / 3次元多様体 / 基本群 / 類体論 / Riemann-Roch theorem / Einstein-Kaehler metric / manifold of dimension 3 or 4 / Hecke algebra / fundamental group / algebraic surface of general type / homology plane / 3-dimensional cancellation problem / ベクトル場 / コンパクト・ケーラー・アインシュタイン多様体 / リーマン多様体上の測地線 / 対称空間上の球関数 / 絡み目の不変量 / K3曲面の非ケーラー的退化 / 位相的可縮な代数曲面 / Einstein-Kaehler計量 / 対数的エンリケス曲面 / ネタ-の不等式 / 位相的可縮曲面 / リ-マン・ロッホの定理 / Einstein-Kaehler / 3、4次元多様体 / ホモロジ-平面 / 3次元消去問題 / finite symmetric space / finite reductive groups / cellular aloebras / Fock space / cyclotomic q-Scqur algebras / complex reflection groups / Springer correspondence / generalized Green関数 / graded affine Hecke algebra / Schur-Weyl duality / modified Arki-Koik algebraSchur- / gneralizd Green関数 / 古典群 / フォック空間 / 積公式 / 分解定数 / cyclotomic q-Schur algerbra / 有限対称空間 / 有限簡約群 / cellular algebra / Fock空間 / cyclotomic q-Schur algebra / Hypergeometric equations / Monodromy / The Painleve equations / 超幾何方程式 / 超幾何微分方程式 / モノドロミ / パンルヴェ方程式 / 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 / mathematical physics / vertex algebra / vertex operator / algebraic geometry / conformal field theory / モジュラー変換 / 共形ブロック / 数理物理 / 頂点作用素 / 代数幾何 / Defect group / Modular representation / Perfect isometry / Cohomology group / Dade conjecture / Block algebra / Broue's conjecture / 導来同値 / パーフェクト アイソメトリ / 単純群 / 森田同値 / コホモロジー / 不足群 / コホモロジー群 / ブロック多元環 / symmetric space / character sheaf / almost character / irreducible character / special linear group / Luszfig's conjecture / graded Hecke algebra / 一般Green関数 / Macdonald関数 / Hall-Littlewood関数 / Green関数 / 対称空間 / 概指標 / 特殊線形群 / Highestweight modulas / algobrarc groups / quantum groups / Infimte dimensiand Lie Igobras / カッツ・ムーディ・リー代数 / 最高ウエイトDb群 / 無限次元リー代数 / quantum algebras / Kempf's vanishing theorem / Lusztig's conjecture / Cohomology / 無限小解析 / Dxo群 / 無限小群 / 正標数 / filtration / Beilinson-Bernstein対応 / Kempfs vanishing theorem / 量子群上のKempf vanishing / algebraic analysis / representation / algebraic group / カッツムーディ・リー代数 / 代数解析 / 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 / 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 / スーパーリー代数 / 整数論 / 現論 / トロイダル超代数 / 超代数 / finite type invariant / quantum invariant / vertey operator algebra / 3-dimensional manifold / Knot theory / Riemann surface / 量子摂動不変量 / ウェブ図 / 写像類群 / 有限群 / 双曲幾何 / 双曲構造 / 低次元位相幾何 / 有限型不変量 / 3次元多様体論 / 結び目理論 / L operators / vertex operator algebra / 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 / Kruskal-Katona thearem / polynomial ring / squaretree inonomial / Cohen-Macaulay ring / Gorenstein環 / Hilbert函数 / 三角形分割 / グレブナ-基底 / 外積代数 / 有限自由分解 / 凸多面体 / 双対複体 / 次数付ベッチ数列 / Cohen-Macaulay / Stanley-Reisner ideal / 単体的複体 / h-三角形 / Componentwise linear / Kruskal-katona定理 / 多項式環 / squarefree monomial / Cohen-Macaulay環 / vertex operator algebras / combinatorics / monster / finite simple groups / アソシェーションスキーム / 組合せ数学 / モンスター / 有限単純群 / BMW algebra / Surface of general type / Quantum invariant / Hodge structure / Log geometry / Hyper Kahler manifold / Open algebraic surfaces / Theorem of Abhyankar-Moh / 射影代数多様体 / アフィン空間 / BMW代数 / Hodge構造 / Log幾何学 / 超ケーラー多様体 / 開代数曲面 / Abhyankar-Mohの定理 / Number Theory / Conformal Fields / Hypergeometric Differential Equations / Moduli of Vector Bundles / Algebraic Groups / Quantum Groups / Duality / Invariant Theory / ベクトル束 / D加群 / capelli恒等式 / 9アナログ / b関数 / 場の理論 / 数論 / 共形場 / 超幾何型微分方程式 / ベクトル束のモジュライ / 双対性 / 不変式論 / 連分数展開 / スーパーシンギュラー素点 / モジュラー方程式 / 虚2次体 / ジーゲル関数 / クロネッカー極限公式 / 極小曲面 / 指標 / ホモトピー同値 / K一群 / 群作用 / 有限群の表現 / アルチンのL関数 / 保型関数と保型形式 / アーベル多様体 / ガロワ拡大体 / 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 / 粘性流体 / ソリトン / 箱玉系 / Macdonald多項式 / 一般化超幾何微分方程式 / Bethe仮説 / 可解格子模型 / 一般超幾何微分方程式 / 可積分系 / 正則計量 / 線型計画法 / 準代数多様体 / 絡み目 / ブレイド群 / 指標表 / moduler invariance / Hamming scheme / 距離正則グラフ / Hadamard行列 / スピンモデル / アソシエーションスキーム / 代数的組合せ論 / モジュライ / ヒッグス・バンドル / 商特異点 / 小平次元 / ホモロジ-代数曲面 / 強擬凸領域 / 境界挙動 / 漸近展開 / 再生核 / ゼゲ-核函数 / ベルグマン核函数 / YangーBaxter方程式 / Alexander多項式 / 組み紐群 / ケ-ラ-アインシュタイン多様体 / Sーコボルディズム / 誘導定理 / ホワイトヘッド群 / 数式処理 / 分解法則 / ガロワ拡大 / 等分方程式 / 虚数乗法 / 楕円曲線 Less
  • Research Projects

    (38 results)
  • Research Products

    (6 results)
  • Co-Researchers

    (91 People)
  •  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
  •  表現論的アルゴリズムの研究Principal Investigator

    • Principal Investigator
      川中 宣明
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  A study of commutative rings of differential operators in completely integrable models and their eigenfunctions

    • Principal Investigator
      DATE Etsuro
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  Representation theory of algebraic groups, Hecke algebras and canpex refiecion groups

    • Principal Investigator
      SHOJI Toshiaki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya 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
  •  Applications of Cohomology groups and Shintani descent to Broue's conjecture

    • Principal Investigator
      UNO Katsuhiro
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka Kyoiku University
      Osaka University
  •  Representation theory of vertex operator algobras and contormal tield theory

    • Principal Investigator
      NAGATOMO Kiyokazu
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Representation theory of Lie algebras and quantum groups

    • Principal Investigator
      TANISAKI Toshiyuki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka City University
      Hiroshima University
  •  Representation theory of algebraic groups, Hecke algebras and complex reflection groups

    • Principal Investigator
      SHOJI Toshiaki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
      Tokyo University of Science
  •  Representation theory of Algebraic Groups and Quantum GroupsPrincipal Investigator

    • Principal Investigator
      KAWANAKA Noriaki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Modular Representation Theory of Algebraic Groups

    • Principal Investigator
      KANEDA Masaharu
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka City 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
  •  Representation theory of algebraic groups through algebraic analysis

    • Principal Investigator
      TANISAKI Toshiyuki
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Hiroshima 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
  •  Foundation of computational Commutative algebra with a view toward combinatorics on convex polytopes

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • 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
  •  コクセタ-群と準結晶Principal Investigator

    • Principal Investigator
      川中 宣明
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  Group theory and related topics

    • Principal Investigator
      YAMAKI Hiroyoshi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      Kumamoto University
  •  準結晶モデルの表現論的研究Principal Investigator

    • Principal Investigator
      川中 宣明
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  Geometric Study of Algebraic Systems

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  ブレイド群の表現論

    • Principal Investigator
      村上 順
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  準代数多様体分類の計画法への応用

    • Principal Investigator
      角田 秀一郎
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Co-operative Research in Representation TheoryPrincipal Investigator

    • Principal Investigator
      KAWANAKA Noriaki
    • Project Period (FY)
      1993 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Algebra
    • Research Institution
      OSAKA UNIVERSITY
  •  代数的組合せ論国際会議へ向けての準備

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  Representations of Groups, Lie Algebras, and AlgebrasPrincipal Investigator

    • 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
  •  代数曲面の特異点と位相

    • Principal Investigator
      宮西 正宜
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Study of Mathematical Sciences by Algebraic Methods

    • Principal Investigator
      HOTTA Ryoshi
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      TOHOKU UNIVERSITY
  •  楕円曲線の整数論

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  同変Sーコボルディズム理論と誘導定理

    • Principal Investigator
      川久保 勝夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • 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
  •  ヘッケ環の表現論Principal Investigator

    • Principal Investigator
      川中 宣明
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  クロネッカー極限公式と虚数乗法論

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Problems surrounding manifolds

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  有限群と代数群の表現論Principal Investigator

    • Principal Investigator
      川中 宣明, 川中 宜明
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  ガロワ拡大体の構造

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  群作用と力学系の研究

    • Principal Investigator
      中岡 稔
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University

All 2008 2005 2004

All Presentation Book

  • [Book] Representation theory of algebraic groups and quantum groups.2005

    • Author(s)
      Noriaki Kawanaka, et al.
    • Total Pages
      490
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-16540191
  • [Book] Representation theory of algebraic groups and quantum groups2004

    • Author(s)
      Shoji Toshiaki, Kawanaka Noriaki他
    • Total Pages
      490
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-14340012
  • [Book] Representation theory of algebraic groups and quantum groups2004

    • Author(s)
      Edited by Toshiaki, Shoji, Masaki Kashiwara, Noriaki Kawanaka 他
    • Total Pages
      490
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-16540191
  • [Presentation] Plain Algorithms2008

    • Author(s)
      Noriaki Kawanaka
    • Organizer
      Combinatorics and Representation Theory
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Year and Date
      2008-09-03
    • Data Source
      KAKENHI-PROJECT-17340046
  • [Presentation] Plain Algorithms2008

    • Author(s)
      Noriaki KAWANAKA
    • Organizer
      Combinatorics and Representation Theory (第8回名古屋数学コンファレンス)
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Year and Date
      2008-09-03
    • Data Source
      KAKENHI-PROJECT-19654004
  • [Presentation] ゲーム・アルゴリズム・表現論2008

    • Author(s)
      川中 宣明
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-26
    • Data Source
      KAKENHI-PROJECT-19654004
  • 1.  MURAKAMI Jun (90157751)
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  • 91.  宇佐美 陽子 (90151993)
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