MORITA Jun 森田純

… Alternative Names

森田純モリタジユン

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Researcher Number	20166416
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2021 – 2022: 筑波大学, 数理物質系(名誉教授), 名誉教授 2020: 筑波大学, 数理物質系, 名誉教授 2011 – 2019: 筑波大学, 数理物質系, 教授 2004 – 2010: University of Tsukuba, Graduate School of Pure and Applied Sciences, Professor, 大学院・数理物質科学研究科, 教授 2006: University of Tsukuba, Graduate School of Pure and Applied Science, Professor, 大学院数理物質科学研究科, 教授 … More 1997 – 2003: 筑波大学, 数学系, 教授 1993 – 1996: 筑波大学, 数学系, 助教授 1990: 筑波大学, 数学系, 講師 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / 代数学・幾何学
Keywords	Principal Investigator 単純群 / 代数群 / algebraic group / リー代数 / カッツ・ムーディ群 / Lie algebra / Kac-Moody group / 非周期構造 / 準周期構造 / 準結晶 … More / Kac-Moody algebra / extended affine Lie algebra / conjugacy theorem / combinatorics / tiling / integrability / Gauss decomposition / alternating group / Coxeter group / 表現 / ルート系 / 局所アフィン・リー代数 / タイル張り / リー環 / Gauss分解 / Kac-Moody群 / algebraic K-theory / Kac-Moody groups / 局所アフィン・ルート系 / 乗法因子群 / アフィン・リー代数 / 表現論 / 構造論 / 結晶構造 / 群スキーム / 基本同値 / Kac-Moody 群 / カッツ・ムーデイ群 / 量子ビット / 四元数体 / スキーム / 代数的K理論 / Kac conmiecture / quantum group / algebraic groups / フィボナッチ数列 / Bruhat分解 / 一意分解環 / 局所拡大アフィンLie代数 / 拡大アフィンLie代数 / kac-Moody群 / Kac-Moody theory / Kac conjecture / extendex affine Lie algebra / quatum group / ガウス分解 / Lie algebtra / Algebraic group / Alternating group / Algebraic K-theory / 建物理論 / 同型問題 / 分類問題 / シュアー乗法因子群 / aperiodic structure / 配列 / 語 / 不変量 / オートマトン / 双代数 / 双建物理論 / 単純性 / DNA配列 / 文字列 / 準決勝 / ムーディ予想 / 局所アフィン・リー環 / カッツ・ムーディ・リー環 / 群論 / 生命科学 / 物質科学 / K群 / 膨張写像環 / meta-ablianization / approximate polynomial / SL_2 / Hopf algebra / Artinianring / representation / quantum groups / Frobenius conjecture … More Except Principal Investigator ホップ代数 / 量子群 / 頂点作用素代数 / path model / Hopf algebra / Picard-Vessiot theory / ピカール・ヴェシオ理論 / Lakshmibai-Seshadri path / braided category / quantum group / テンソル積 / ムーンシャイン予想 / モンスター単純群 / 表現 / extremal weight module / quantum affine algebra / extremalウエイト加群 / アフィン量子群 / 結晶基底 / コサイクル変形 / 差分方程式 / Quantum group / 非可換幾何学 / Monster simple group / ムーンシャイン加群 / ジョルダン代数 / 有限群 / フーリエ変換 / 相対不変式 / 概均質ベクトル空間 / cocbcle deformation / affine group scheme / tensor category / 微分方程式 / テンソルカテゴリー / 組ひもカテゴリー / 形式群 / アフィン群 / アフィン群スキーム / 組紐圏 / テンソル圏 / Kostka polynomial / energy function / crystal basis / level-zero representation / Lakshmiba-Seshadri path / レベル・ゼロ基本表現 / degree関数 / エネルギー / レベル・ゼロ表現 / Demazureクリスタル / Demazure加群 / Anderson-Mirkovic予想 / tropical Plucker関係式 / Mirkovic-Vilonen多面体 / 既約最高ウェイト加群 / エネルギー関数 / Kostka多項式 / パス模型 / Lakshmibai-Seshadriパス / extremalウエイト加郡 / レべル・ゼロ表現 / differential-difference Galois theory / Hopf-Galois theory / brided Hopf algebra / Super formal group / Super affine group / 差分ガロア理論 / 微分ガロア理論 / ホップガロア理論 / 組紐ホップ代数 / 微分・差分ガロア理論 / ポップガロア理論 / 組紐ポップ代数 / スーパー形式群 / スーパーアフィン群 / Picard-Vessiot理論 / Tanaka duality / II_1 subfactor / group cohomology / super-affine group / super-Hopf algebra / 群のコホモロジー / 部分因子環 / ホップ・ガロア拡大 / ホモロジー代数 / 淡中双対定理 / 淡中双対性 / II_1型部分因子環 / 群コホモロジー / スーパー・アフィン群スキーム / スーパー・ホップ代数 / fundamental representation / level zero / standard module / crystal base / 基本表現 / レベル・ゼロ / standard加群 / Galton-Watson trees / branching processes / spectral statistics / random Schrodinger operators / 分岐過程 / ランダム行列 / 量子カオス / エネルギー準位統計 / ランダムなシュレーディンガー作用素 / ゴルトン-ワトソン樹形図 / 分枝過程 / スペクトル統計 / ランダムシュレーディンガー作用素 / Pseudo-trace functions / Trace funditons / Modular invariance / Modular forms / C2-condition / The moonshine module / Vertex Operator Algebra / 格子型頂点作用素代数 / ジーゲル型保型形式 / ヒルベルト型保型形式 / モジュラー関数 / 保型形式 / 擬トレイス関数 / トレイス関数 / モジュラー不変 / C2条件 / Hochschild cohomology / Hopf cohomology / Crossed product / Cocfuasi-bialgebra / Tensor equivalence / ガロア対象 / 組紐構造 / ホッホシルトコホモロジー / ホップコホモロジー / 接合積 / 余準双代数 / テンソル同値 / cylinder matrix / biFrobenius algebra / modular category / braid / quantum matrix / ガウス分解 / 量子ガロア群 / cylinder代数 / 準結晶 / braidedホップ代数 / Kac-Moody群 / Kaplansky予想 / matched pair / ヘッケ代数 / コホモロジー / ボゾン化 / Homfly多項式 / cylinder行列 / 双フロベニウス代数 / 組紐カテゴリー / モジュラー圏 / 結び目 / 量子行列 / computer system / symmetric space / マルチクラスター計算機システム / グレプナー基底 / 数理物理学のモデル / 複素構造と表現論 / 量子ベクトル束の特性類 / 巡回(コ)ホモロジー / 調和解析学 / 量子多様体の非可換幾何 / コニタリー表現論 / 調和解析 / 代数幾何学 / ゲージ理論 / q-アナログ / ファイバー束 / 数理物理学 / ホモロジー代数学 / 非可換微分幾何学 / 量子群の表現論 / 数式処理 / ユニタリー表現 / インスタントン / 4次元球面 / 熱核 / 計算機 / 対称空間 / Relative invaliant / Fourier transform / weakly spherical homogeneous spaces / Prehomogeneous vector spaces / 弱球等質空間 / Complex structure / Noncommutative geometry / Automorphic functions / Discontiumous group / Spectral analysis of a self-adjoint operator / Hyperbolic geometry / Unitary repreoentation / モジュライ空間 / 複素構造 / 保型関数論 / 不連続群 / 自己共役作用素のスペクトル解析 / 双曲幾何学 / ユニタリー表現論 / Moonshine conjecture / Vertex operator algebra / Automorphism groups / Virasoro algebra / Meromorphic / Lattices / Ising models / ムーンシャン予想 / 自己同型群 / ヴィラソロ代数 / メロモルフィック / ラティス / イジング模型 / フレイム頂点作用素代数 / 宮本自己同型 / 位数公式 / マッカイの考察 / 原田予想 / semi-rigidity / 非消滅元 / 既約指標 / semi-ridigity / 散在型有限単純群 / 対称多元環 / 中山自己同型 / ガロワ被覆 / Auslander-Reiten quiver / 有限次元多元環 / 不変量 / 作用素環 / 多元環 / リー代数 / 部分因子環の指数理論 / 有限群論 / 代数的組み合わせ論 / バラグループ / 同相写像 / 大局次元 / ワイル代数 / 組み系群 / コホモロジー群 / 環 / フロベニウス多元環 / 井草局所ゼータ関数 / 岩沢-Tate理論 / reduction / 局所体 / 関数等式 / Virasoro代数 / KacーMoody群 / リ-代数 / 代数群 Less

Study on infinite dimensional algebraic groups and Lie algebras, and application to quasi-periodic and aperiodic structuresPrincipal Investigator
- Principal Investigator
  
  Morita Jun
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study on the structures and representations of infinite dimensional algebraic groups and Lie algebras, and applications to quasiperiodic structuresPrincipal Investigator
- Principal Investigator
  
  MORITA Jun
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
A study of infinite dimensional algebraic groups and Lie algebras, and an application to words and sequencesPrincipal Investigator
- Principal Investigator
  
  MORITA Jun
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study of infinite dimensional algebraic groups and Lie algebras, and applications to material science and life sciencePrincipal Investigator
- Principal Investigator
  
  MORITA Jun
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Unifying differential and difference Picard Vessiot theories by using Hopfalgebras
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Detection of hidden symmetries in sporadic simple groups and vertex operator algebras
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study on the fusion products and crystalbases of level-zero representations of quantum affine algebras
- Principal Investigator
  
  NAITO Satoshi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Generalization of Hopf-quotient theory and applications to subfactors and others
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
A research on algebraic groups and Kac-Moody groups, and their applicationsPrincipal Investigator
- Principal Investigator
  
  MORITA Jun
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study on the path models for extremal weight modules over a quantum affine algebra
- Principal Investigator
  
  NAITO Satoshi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Classification of coquasi-Hopf algebras by tensor equivalence and constructions of new braidings
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Toward to a generalization of modular invariance of vertex operator algebras into Hilbert type and Siegel type.
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study of the mathematical foundation of energy level statistics.
- Principal Investigator
  
  MINAMI Nariyuki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Tsukuba
Classification of Hopf algebras and quantum groups by tensor equivalences
- Principal Investigator
  
  MASUOKA Akira
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Development from prehomogeneous vector spaces to weakly spherical homogeneous spaces
- Principal Investigator
  
  KIMURA Tatsuo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Irreducible unitary representation of non compact quantum group SUq(1,1) and its quantum symmetric space
- Principal Investigator
  
  MASUDA Tetsuya
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  University of Tsukuba
Research on quantum matrices and Hopf algebras
- Principal Investigator
  
  MITSUSHIRO Takeuchi
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study of Algebraic groups and Lie Algebras and ApplicationsPrincipal Investigator
- Principal Investigator
  
  MORITA Jun
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
準結晶とその代数的構造の研究Principal Investigator
- Principal Investigator
  
  森田純
- Project Period (FY)
  1997
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
A step to the perfect classification of 24dimensional meromorphic vertex operator algebras
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Noncommutative geometry of quantum complex upper half plane and discrete subgroup of a non-compact quantum group
- Principal Investigator
  
  MASUDA Tetsuya
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
量子群とリー代数の表現論
- Principal Investigator
  
  竹内光弘
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
フロベニウス多元環のガロワ被覆と変形理論の研究
- Principal Investigator
  
  山形邦夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
A research of algebraic groups and Lie algebrasPrincipal Investigator
- Principal Investigator
  
  MORITA Jun
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
リー環と代数群の構造と応用Principal Investigator
- Principal Investigator
  
  森田純
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
群の表現と方程式の研究およびその応用Principal Investigator
- Principal Investigator
  
  森田純
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
環論および多元環の表現論の研究
- Principal Investigator
  
  山形邦夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
パラグループの代数構造に関する群論的研究
- Principal Investigator
  
  増田哲也
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
局所体上の概均質ベクトル空間の理論
- Principal Investigator
  
  KIMURA Tatsuo
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
ホップ代数,代数群,量子群の表現とその応用
- Principal Investigator
  
  TAKEUCHI Mitsuhiro
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  University of Tsukuba

[Book] 明解線形代数2005
- Author(s)
  木村, 竹内, 宮本, 森田
- Total Pages
  280
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-17340001
[Journal Article] Classification of minimal locally affine Lie algebras2023
- Author(s)
  Morita Jun、Yoshii Yoji
- Journal Title
  
  Journal of Algebra
  
  Volume: 616 Pages: 97-154
- DOI
  10.1016/j.jalgebra.2022.11.004
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05158
[Journal Article] Chevalley groups over Dedekind domains and some problems for K_2(2,Z_S)2020
- Author(s)
  Jun Morita
- Journal Title
  
  Toyama Mathematical Journal
  
  Volume: 41 Pages: 83-122
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05158
[Journal Article] Discretization of SU(2) and the orthogonal group using icosahedral symmetries and the golden numbers2018
- Author(s)
  Robert Moody, Jun Morita
- Journal Title
  
  Communications in Algebras
  
  Volume: 46
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05158
[Journal Article] Simple Kac-Moody groups with trivial Schur multipliers2018
- Author(s)
  Jun Morita
- Journal Title
  
  Science China Mathematics
  
  Volume: 61 Issue: 2 Pages: 311-316
- DOI
  10.1007/s11425-016-9170-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05158
[Journal Article] Locally loop algebras and locally affine Lie algebras2015
- Author(s)
  Jun Morita, Yoji Yoshii
- Journal Title
  
  Journal of Algebra
  
  Volume: 440 Pages: 379-442
- DOI
  10.1016/j.jalgebra.2015.05.018
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400005
[Journal Article] Word maps in Kac-Moody setting2015
- Author(s)
  Elena Klimenko, Boris Kunyavskii, Jun Morita, Eugene Plotkin
- Journal Title
  
  Toyama Mathematical Journal
  
  Volume: 37 Pages: 25-54
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400005
[Journal Article] Simplicity of some twin tree automorphism groups with trivial commutation relations2014
- Author(s)
  Jun Morita, Bertrand Remy
- Journal Title
  
  Canad. Math. Bull.
  
  Volume: 57 Pages: 390-400
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400005
[Journal Article] Simplicity of some twin tree automorphism groups with trivial commutation relations2014
- Author(s)
  Jun Morita and Bertrand Remy
- Journal Title
  
  Canad. Math. Bull
  
  Volume: Vol.57(2) Issue: 2 Pages: 390-400
- DOI
  10.4153/cmb-2014-002-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540006
[Journal Article] Words, automata and Lie theory for tilings2013
- Author(s)
  Jun Morita
- Journal Title
  
  Symmetries, integrable systems and representations (eds. K. Iohara et al.), Springer Proceedings in Mathematics & Statistics
  
  Volume: 40 Pages: 345-359
- DOI
  10.1007/978-1-4471-4863-0_14
- ISBN
  9781447148623, 9781447148630
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540006
[Journal Article] Automorphisms and derivations of nilradicals of Borel subalgebras in Kac-Moody algebras2012
- Author(s)
  Jun Morita and Kaiming Zhao
- Journal Title
  
  Comm. Contemp. Math
  
  Volume: Vol.14(2) Issue: 02 Pages: 1250010-1250010
- DOI
  10.1142/s0219199712500101
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540006
[Journal Article] Automorphisms and derivations of Borel subalgebras and theirnilradicals in Kac-Moody algebras2011
- Author(s)
  Jun Morita, Kaiming Zhao
- Journal Title
  
  Comm.Contemp.Math.
  
  Volume: (掲載確定)(未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Tilings, Lie theory and combinatorics2010
- Author(s)
  森田純
- Journal Title
  
  Contemp.Math. 506
  
  Pages: 173-185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Tilings, Lie theory and combinatorics2010
- Author(s)
  Jun Morita
- Journal Title
  
  Contemp.Math.(AMS) 506
  
  Pages: 173-185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Tilings, Lie theory and combinatorics2010
- Author(s)
  Jun Morita
- Journal Title
  
  Contemp. Math.(AMS) 506
  
  Pages: 173-185
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Words, tilings and combinatorial spectra2009
- Author(s)
  Jun Morita Akira Tarui
- Journal Title
  
  Hiroshima Mathematical Journal 39
  
  Pages: 37-60
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Words, tilings and combinatorial spectra2009
- Author(s)
  森田純, A.Terui
- Journal Title
  
  Hiroshima Math.J. (1)39
  
  Pages: 37-60
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Words, tilings and combinatorial spectra2009
- Author(s)
  Jun Morita, Akira Terui
- Journal Title
  
  Hiroshima Math.J. (1)39
  
  Pages: 37-60
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] A new basis of U(s1_2) and Heisenberg analogue2007
- Author(s)
  Hideki Chiba, Jun Lin Guo, Jun Morita
- Journal Title
  
  Hadronic J. 30
  
  Pages: 503-512
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Conjugacy results for the Lie algebra sl_2 over an algebra which is a UFD2007
- Author(s)
  Stephen Berman, Jun Morita.
- Journal Title
  
  Contemp. Math. 422
  
  Pages: 17-40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Conjugacy results for the Lie algebra sl_2 over an algebra which is a UFD2007
- Author(s)
  森田純, S.Berman
- Journal Title
  
  Contemp.Math. 422
  
  Pages: 17-40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] A new basis of U(sl_2) and Heisenberg analogue2007
- Author(s)
  森田純, H.Chiba, J-L.Guo
- Journal Title
  
  Hadronic J. 30
  
  Pages: 503-512
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Conjugacy results for the Lie algebra s1_2 over an algebra which is a UFD, Contemp2007
- Author(s)
  Stephen Berman, Jun Morita
- Journal Title
  
  Math. 422
  
  Pages: 17-40
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Journal Article] Locally extended affine Lie algebrus2006
- Author(s)
  Morita, Jun
- Journal Title
  
  Journal of Algebra 301・1
  
  Pages: 59-81
- Data Source
  KAKENHI-PROJECT-18540009
[Journal Article] Locally extended affine Lie algebras2006
- Author(s)
  Jun, Morita
- Journal Title
  
  Journal of Algebra 301(1)
  
  Pages: 59-81
- NAID
  120007131213
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540005
[Journal Article] Locally extended affine Lie algebras2006
- Author(s)
  Jun Morita
- Journal Title
  
  Journal of Algebra 301・1
  
  Pages: 59-81
- NAID
  120007131213
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540005
[Journal Article] Groups defined by extended affine Lie algebras with nullity 22006
- Author(s)
  Jun, Morita
- Journal Title
  
  Tokyo Journal of Mathematics 29(2)
  
  Pages: 347-383
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540005
[Journal Article] Groups defined by extended affine Lie algebras with nullity 22006
- Author(s)
  Jun Morita
- Journal Title
  
  Tokyo Journal of Mathematics 29・2
  
  Pages: 347-383
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540005
[Journal Article] Some formulae in $U_q(sl_2)$ and diagonalizability2003
- Author(s)
  Jun, Morita
- Journal Title
  
  Kyushu Journal of Mathematics 57(1)
  
  Pages: 165-173
- NAID
  120000981331
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540005
[Journal Article] Some formulae in $U_q(s1_2)$ and diagonalizability2003
- Author(s)
  Jun Morita
- Journal Title
  
  Kyushu Journal of Mathematics 57・1
  
  Pages: 165-173
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540005
[Journal Article] Automorphisms and derivations of Borel subalgebras and their nilradicals in Kac-Moody algebras
- Author(s)
  森田純, K.Zhao
- Journal Title
  
  Comm.Contemp.Math. 掲載許可済
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Chevalley groups over Dedekind domains and K2 groups2020
- Author(s)
  Jun Morita
- Organizer
  The second meeting for Study of Number Theory, Hopf Algebras and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05158
[Presentation] Kac-Moody algebras, groups and related topics2018
- Author(s)
  森田純
- Organizer
  Finite Groups, VOAs, and Related Topics 2018
- Invited
- Data Source
  KAKENHI-PROJECT-17K05158
[Presentation] Lac-Moody groups, simple groups and Schur multipliers2017
- Author(s)
  Jun Morita
- Organizer
  Japan-Korea Workshop on Algebras and Combinatorics
- Place of Presentation
  Kusunoki Hall, Kumamoto University, Kumamoto City, Kumamoto Prefecture, Japan
- Year and Date
  2017-02-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400005
[Presentation] LTR to Kac-Moody groups2016
- Author(s)
  Jun Morita
- Organizer
  Summer Seminar on Lie Algebras
- Place of Presentation
  Kyoiku Gakubu 2nd Building, Iwate University, Morioka City, Iwate Prefecture, Japan
- Year and Date
  2016-08-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400005
[Presentation] Tits systems, Kac-Moody groups and their applications2016
- Author(s)
  Jun Morita
- Organizer
  The 7th International Conference on Representation Theory
- Place of Presentation
  Xiamen University, Xiamen, China
- Year and Date
  2016-07-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400005
[Presentation] Some topics on Kac-Moody groups2016
- Author(s)
  Jun Morita
- Organizer
  Infinite Dimensional Lie (Super)algebras and Their Representations
- Place of Presentation
  University of Isfahan, Isfahan, Iran
- Year and Date
  2016-05-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400005
[Presentation] A note on the simplicity and the universal covering group2013
- Author(s)
  Jun Morita
- Place of Presentation
  Fields Institute, Toronto, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Simplicity for Some Kac-Moody Groups2013
- Author(s)
  Jun Morita
- Organizer
  Xiamen university Algebra Seminor
- Place of Presentation
  Xiamen, Fujian, China
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Simplicity of some Kac-Moody groups2013
- Author(s)
  Jun Morita
- Place of Presentation
  Xiamen University, China
- Year and Date
  2013-11-29
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] A note on simplicity and the universal covering of some Kac-Moody group2013
- Author(s)
  Jun Morita
- Organizer
  Conference on geometric methods in infinite-dimensional Lie theory
- Place of Presentation
  Fields Institute, Toronto, Canada
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Moody conjecture for Kac-Moody Lie algebras is true2013
- Author(s)
  Jun Morita
- Place of Presentation
  Huaqiao University, China
- Year and Date
  2013-12-02
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Moody Conjecture for Kac-Moody Lie Algebras is True2013
- Author(s)
  Jun Morita
- Organizer
  Huaqiao University Mathematical Seminor
- Place of Presentation
  Quanzhou, Fujian, China
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Symmetry and algebraic approach in Lie theory and aperiodic theory2011
- Author(s)
  Jun Morita
- Place of Presentation
  中国科学技術大学, 合肥, China
- Year and Date
  2011-07-10
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Symmetry, Lie algebras and aperiodic orders2011
- Author(s)
  Jun Morita
- Place of Presentation
  Lyon University 1, Jordan Institute
- Invited
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Symmetry, Lie algebras and aperiodic orders2011
- Author(s)
  jun Morita
- Organizer
  Symmetries, integrable systems and representations(招待講演)
- Place of Presentation
  Lyon, France
- Data Source
  KAKENHI-PROJECT-23540006
[Presentation] Words, decomposition rules and invariants2010
- Author(s)
  森田純
- Organizer
  The mathematics of aperiodic orders, Korean Institute of Advanced Study
- Place of Presentation
  Seoul, Korea
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] 語・タイル張りの代数構造と組合せ構造2010
- Author(s)
  森田純
- Organizer
  代数と言語のアルゴリズムと計算理論
- Place of Presentation
  京都大学、京都市
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Locally affine Lie algebras2010
- Author(s)
  森田純
- Organizer
  Workshop on QFT, string theory and mathematical physics
- Place of Presentation
  北京、中華人民共和国(KITPC, Chinese Academy of Sciences)
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] 語、オートマトンおよび(リー)代数的不変量2009
- Author(s)
  森田純
- Organizer
  リー代数サマーセミナー
- Place of Presentation
  九州工業大学、北九州市
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Algebraic structures and combinatorics of words, and golden mean shifts2009
- Author(s)
  森田純
- Organizer
  準周期タイルと言語理論の周辺
- Place of Presentation
  京大数理研、京都市
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] フィボナッチ数の数理2009
- Author(s)
  森田純
- Organizer
  数学教材研究会
- Place of Presentation
  秋田工業高等専門学校、秋田市
- Year and Date
  2009-03-19
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] 語・タイル張りに付随する代数的組合せ構造の具体的計算例2009
- Author(s)
  森田純
- Organizer
  高知タイル貼り小研究会
- Place of Presentation
  高知大学、高知市
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Algebraic approaches to words, tilings and quasicrystals2009
- Author(s)
  森田純
- Organizer
  Japan-Korea workshop on algebra and combinatorics
- Place of Presentation
  九州大学、福岡市
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Moody's conjecture (II)2008
- Author(s)
  Jun Morita
- Organizer
  カナダ数学会
- Place of Presentation
  カナダ国オタワ市(カールトン大学主催)
- Year and Date
  2008-12-08
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Words, tilings and combinatorics2008
- Author(s)
  森田純
- Organizer
  Workshop on quantum affine Lie algebras, extended affine Lie algebras and applications
- Place of Presentation
  BIRS, Banff, Canada
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Moody予想とその解決2008
- Author(s)
  森田純
- Organizer
  リー代数サマーセミナー
- Place of Presentation
  福岡教育大学、宗像市
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Moody's conjecture, from derivations to automorphisms2008
- Author(s)
  Jun Morita
- Organizer
  カナダ数学会
- Place of Presentation
  Ottawa (Canada)
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Words, Tilings and Combinatorics2008
- Author(s)
  Jun Morita
- Organizer
  Quantum affine Lie algebras, extended affine Lie algebras, and applications
- Place of Presentation
  Banff International Research Station, Canada
- Year and Date
  2008-03-06
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Moody's conjecture2008
- Author(s)
  森田純
- Organizer
  Canadian Mathematical Society Winter Meeting
- Place of Presentation
  Ottawa, Canada
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] UFD上のリー代数と共役性定理2007
- Author(s)
  森田純
- Organizer
  リー代数サマーセミナー
- Place of Presentation
  海上保安大学校、呉市
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Group presentations, coverings and Schur multipliers in Lie theory2007
- Author(s)
  森田純
- Organizer
  Workshop on algebraic aspects of Lie theory
- Place of Presentation
  Academia Sinica, Taipei, Taiwan
- Data Source
  KAKENHI-PROJECT-19540006
[Presentation] Group presentations, coverings and Schur multipliers in Lie theory2007
- Author(s)
  Jun Morita.
- Organizer
  Workshop on Algebraic Aspects of Lie Theory
- Place of Presentation
  Academia Sinica, Taipei
- Year and Date
  2007-12-21
- Data Source
  KAKENHI-PROJECT-19540006

1. TAKEUCHI Mitsuhiro (00015950)

# of Collaborated Projects: 16 results

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2. MIYAMOTO Masahiko (30125356)

# of Collaborated Projects: 10 results

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3. NAITO Satoshi (60252160)

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7. FUJITA Hisamasa (60143161)

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8. MASUOKA Akira (50229366)

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9. 星野光男 (90181495)

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10. TANABE Kenichiro (10334038)

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11. SAGAKI Daisuke (40344866)

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12. MIYASHITA Yoichi (00000795)

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13. KITAZUME Masaaki (60204898)

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18. KOGISO Takeyoshi (20282296)

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19. TAIRA Kazuaki (90016163)

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21. 伊藤光弘 (40015912)

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22. 佐々木建昭 (80087436)

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23. 加藤久男 (70152733)

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24. SUGIYAMA Kazunari (90375395)

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26. SUZUKI Hiroshi (10135767)

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27. KIMURA Hiroshi (70023570)

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28. TAKEUCHI Kiyoshi (70281160)

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33. TASAKI Hiroyuki (30179684)

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47. 土居伸一 (00243006)

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MORITA Jun 森田 純

森田 純 モリタ ジユン

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Study on infinite dimensional algebraic groups and Lie algebras, and application to quasi-periodic and aperiodic structuresPrincipal Investigator

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Study on the structures and representations of infinite dimensional algebraic groups and Lie algebras, and applications to quasiperiodic structuresPrincipal Investigator

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A study of infinite dimensional algebraic groups and Lie algebras, and an application to words and sequencesPrincipal Investigator

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Study of infinite dimensional algebraic groups and Lie algebras, and applications to material science and life sciencePrincipal Investigator

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A research on algebraic groups and Kac-Moody groups, and their applicationsPrincipal Investigator

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MORITA Jun 森田純

森田純モリタジユン