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Saito Mutsumi  齋藤 睦

ORCIDConnect your ORCID iD *help
… Alternative Names

SAITO Mutsumi  齋藤 睦

齊藤 睦  サイトウ ムツミ

齋藤 睦美  サイトウ ムツミ

斎藤 睦  サイトウ ムツミ

齋藤 睦  サイトウ ムツミ

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Researcher Number 70215565
Other IDs
External Links
Affiliation (Current) 2025: 北海道大学, 理学研究院, 特任教授
Affiliation (based on the past Project Information) *help 2016 – 2023: 北海道大学, 理学研究院, 教授
2016: 北海道大学, 大学院理学研究院, 教授
2012 – 2015: 北海道大学, 理学(系)研究科(研究院), 教授
2012 – 2013: 北海道大学, 大学院・理学研究院, 教授
2011: 北海道大学, 大学院・理学研究科, 教授 … More
2007 – 2011: Hokkaido University, Fac. of.Sci,Asso, Professor
2006: 北海道大学, 大学院理学研究科, 助教授
2006: 北海道大学, 大学院理学研究院, 助教授
2003 – 2006: 北海道大学, 理学研究科, 助教授
1996 – 2005: Fac.Research Science, Hokkaido Univ., Assoc.Prof., 大学院・理学研究科, 助教授
1999: Hokkaido University, Faculty of Science, Associate Professor, 理学部, 助教授
1998: 北海道大学, 大学院理学研究科, 助教授
1994: 北海道大学, 理学部, 助教授
1994: 北海道大学, 理学部, 講師
1994: 広島大学, 理学部, 講師
1989 – 1990: 東北大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Basic Section 11010:Algebra-related / Basic analysis / Algebra
Except Principal Investigator
Algebra / Algebra / Basic analysis / 代数学・幾何学 / Basic analysis / Global analysis / Geometry
Keywords
Principal Investigator
超幾何系 / トーリック多様体 / 微分作用素環 / D-加群 / 超幾何微分方程式系 / コンパクト化 / Lie algebra / リー環 / 半群環 / A-超幾何系 … More / フロベニウスの方法 / A-超幾何微分方程式系 / 線型群 / 線型代数半群 / 代数半群 / dimension formula / classification / toric variety / hypergeometric / 階数公式 / 次元公式 / 分類 / 超幾何 / Weyl algebra / Grobner basis / holonomic system / hypergeometric system / ワイル代数 / グレブナー基底 / ホロノミック系 / カルタン部分代数の変形 / グラスマン多様体 / 可換部分リー代数 / カルタン部分リー代数の変形 / 超平面配置 / 有限生成系 / 既約加群 / 超機何系 / レゾナントパラメータ / ワイル閉包 / レゾナント / クリティカル加群 / 特性多様体 / ネター性 / 決定多項式 / 整数計画法 / b-関数 / ロ-リチェラ函数 / 接続公式 / b-函数 … More
Except Principal Investigator
グレブナー基底 / 半単純リー群 / 等方表現 / 離散系列表現 / 計算代数解析 / 不変微分作用素 / 整数計画 / ユニタリ表現 / 随伴多様体 / 凸多面体 / Grobner basis / nilpotent orbit / Harish-Chandra module / semisimple Lie group / 基本群 / 計算可換代数 / 計算代数統計 / アルゴリズム / イニシャルイデアル / べき零軌道 / dual variety / fundamental group / rational double point / supersingularity / lattices / plane curve / K3 surface / isotropy representation / 無限次元表現 / ユニタリ最高ウェイト加群 / Asymptotic expansion / GKZ hypergeometric system / Monomial ideal / Grobner deformations / シューア函数 / アフィンリー環 / discrete series / 四元数型対称空間 / Frobenius theorem / Mackey functor / Burnside ring / monoidal category / TQFT / crossed G-set / finite group / 分岐被覆 / 超特異性 / 6次曲線 / K3曲面 / 凸多面体の組合せ論 / トーリックイデアル / 離散系列 / テータ対応 / 冪零軌道 / 計算の効率化 / マルコフ基底 / 有限グラフ / ハリシュ-チャンドラ加群 / ヴェイユ表現 / 微分作用素環 / 符号理論 / Harish-Chandra加群 / グレブナ-基底 / 指標 / リー群のユニタリ表現 / 正標数 / 格子 / 平面曲線 / random numbers and integration / Special function / Mathematical formula / Computational D-modules / D-modules / A-hypergeometric equation / A-hypergeometric function / 超幾何関数の積分表示 / calA-超幾何方程式 / calA-超幾何関数 / 代数方程式系 / 特殊関数 / 数学公式 / グレブナ基底 / D-加群 / A-超幾何方程式 / A-超幾何関数 / Initial Ideal / Toric Ideal / Finite Graph / Corner Polytope / Integer Programming / Lattice Ideal / Universal Grobner Basis / Grobner Basis / corner polyhedron / Gomory relaxation / 組合せ最適化問題 / 隣接行列 / 端凸多面体 / ラティスイデアル / 普遍グレブナー基底 / Howe duality correspondence / moment map / discrete series representation / unitary representation / ユニポテント表現 / エルミート対象空間 / 単単純リー群 / 既約ユニタリ表現 / ハウ双対性 / モーメント写像 / Fundamental Group / Automorphic Form / Configuration Space / Period Map / Hypergeometric Function / Theta Function / Moduli Space / テータ関数 / 保型形式 / 配置空間 / 周期写像 / 超幾何関数 / データ関数 / モジュライ空間 / invariant differential operator / unitary highest weight module / quaternionic symmetric space / 随伴サイクル / べき零共役類 / ハリシュ・チャンドラ加群 / Young Diagrams / Schur Functions / Symmetric Groups / Affine Lie Alqebras / ヤング図形 / 対称群 / アフィン・リー環 / Standard pairs / series sohition / Rogular singulasity / Volune polynonrid / Grolner basis / GKZ hypergesmetric system / Grobner diformation / Asyonptotic expansion / complex reflection groups / decomposition matrices / Schur functions / affine Lie algebras / ウエイトベクトル / シューア函教 / 複素鏡映群 / 分解行列 / highest weight representation / generalized Whittaker model / multiplicity / differential operator of gradient type / Harish-Chandara加群 / エルミート対称空間 / 一般化されたWhittaker模型 / Borel de-Siebenthal離数系列 / 最高ウェイト表現 / 一般化Whittaker模型 / 重複度 / 勾配型微分作用素 / modular representaion / modular representation / modnlar representation / Frohemins theoren / Macher functor / Burnsidering / コホモロジー誘導表現 / 四元数型表現 / 特異ユニタリ表現 / 簡約リー群 / 量子化 / リー群 / sub-front / Carnot-Caratheodory metric / sub-Finsler structure / tangent map / frontal map / versal opening / normal form / singular trajectory / Cartan structure / tangent variety / open Scherbak surface / open folded pleat / open swallowrtail / opening / sub-Riemann metric / null-frontal / D-singularity theory / conical control system / totally singular curve / triality / Cartan's G2-geometry / hyperfield / open Scherback surface / open Mond surface / open swallowtail / opening construction / tangent surface / ザリスキ・ファンカンペンの定理 / ザリスキペア / 有理2重点 / 単純K3特異点 / ザリスキ・ファンカンペン / 2次剰余符号 / 単有理性 / フロベニウス固有値 / 格子理論 / 平面6次曲線 / 射影モデル / 超特異K3曲面 / 超越格子 / ネロン・セヴェリ格子 / 離散数学 / 計算代数幾何 / generic initial ideal / D加群 / 分割表 / 不変量 / Whittakerベクトル / 表現の分岐 / 双対性 / 実調和解析 / 一般Whittaker模型 / 調和解析 / 微分方程式系 / 旗多様体 / Whittaker模型 / Howe双対性 / 幾何学的不変量 / 統計数学 / 有限自由分解 / 0次元ラティスイデアル / 可換代数 / カペリ恒等式 / エルミート型 / ヴェイユ型表現 / 普遍包絡代数 / ヤン・バクスター方程式 / 不変式論 / ディラク作用素 / 既約表現 / 無限次元リー代数 / 正則度 / 極小自由分解 / 三角形分割 / 極小表現 / 最高ウェイト加群 / ホイッタッカー模型 / Liouville多様体 / トーリック多様体 / Kahler多様体 / 可積分測地流 / モジュラー束 / Betti数列 / Ehrhart多項式 / Cohen-Macaulay環 / Stanley-Reisner環 / 単体的複体 / 特性類の留数 / Cech-de Rham cohomology / 不変部分多様体 / 複素解析的特異葉層構造 / 確定特異点型 / 青本・Gelfand方程式系 / 超幾何型微分方程式系 / フ-リエ変換 / 捩れ同変 / 代数群 / ホロノミ-系 / 可解格子模型 / 指標公式 / 局所化定理 / 対称領域 / カスプ特異点 / ト-リック多様体 / 青木・Galfand方程式 / 指標D加群 Less
  • Research Projects

    (38 results)
  • Research Products

    (53 results)
  • Co-Researchers

    (81 People)
  •  レゾナントパラメータを持つA-超幾何微分方程式系の代数的・組み合わせ論的研究Principal Investigator

    • Principal Investigator
      齋藤 睦
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Hokkaido University
  •  線型群の作用のコンパクト化とその応用Principal Investigator

    • Principal Investigator
      齋藤 睦
    • Project Period (FY)
      2018 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Hokkaido University
  •  Research on monoids consisting of limits of linear actions on a projective manifoldPrincipal Investigator

    • Principal Investigator
      SAITO Mutsumi
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Quantization of singular nilpotent orbits of reductive Lie groups and realization of unitary representations

    • Principal Investigator
      Yamashita Hiroshi
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Deformation of Lie subalgebras and systems of hypergeometric equationsPrincipal Investigator

    • Principal Investigator
      SAITO Mutsumi
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometry

    • Principal Investigator
      GOO Ishikawa
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  Geometric invariants and model theory for singular unitary representations

    • Principal Investigator
      YAMASHITA Hiroshi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Study of hyergeometric systems with resonant parametersPrincipal Investigator

    • Principal Investigator
      SAITO Mutsumi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  K3 surfaces and related algebraic varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  Modern study on homogeneous spaces and unitary representations via duality

    • Principal Investigator
      YAMASHITA Hiroshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  The Study of theoretical aspects and practical aspect on Grobner Bases

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  THE RING OF DIFFERENTIAL OPERATORS ON AN AFFINE TORIC VARIETYAND ITS APPLICATIONSPrincipal Investigator

    • Principal Investigator
      SAITO Mutsumi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  計算可換代数と計算代数幾何についての国際研究集会の企画調査

    • Principal Investigator
      日比 孝之
    • Project Period (FY)
      2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Explicit Study of Algebraic Varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  グレブナー基底の理論的有効性と実践的有効性に関する共同研究の企画調査

    • Principal Investigator
      日比 孝之
    • Project Period (FY)
      2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  グレブナー基底の理論的有効性と実践的有効性についての国際研究集会の企画調査

    • Principal Investigator
      日比 孝之
    • Project Period (FY)
      2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Study of universal Grobner bases of zero-dimensional lattice ideals

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Computational Analysis of Hypergeometric Differential Equations

    • Principal Investigator
      TAKAYAMA Nobuki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KOBE UNIVERSITY
  •  凸多面体を巡る組合せ数学の代数的諸相についての国際研究集会の企画調査

    • Principal Investigator
      日比 孝之
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  無限次元リー群およびリー代数に対する表現論の新たな展開

    • Principal Investigator
      山下 博
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Isotropy representations associated with Harish-Chandra modules and nilpotent orbit theory

    • Principal Investigator
      YAMASHITA Hiroshi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Moduli Spaces and Special Functions

    • Principal Investigator
      MATSUMOTO Keiji
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Infinite dimensional quaternionic representations and nilpotent orbits

    • Principal Investigator
      YAMASHITA Hiroshi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Classification problem of hypergeometric differential systemsPrincipal Investigator

    • Principal Investigator
      SAITO Mutsumi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Combinatorial Representation Theory of Affine Lie Alqebras and Symmetric Groups

    • Principal Investigator
      YAMADA Hiro-fumi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      OKAYAMA UNIVERSITY
      Hokkaido University
  •  Grobner asymptotic expansion for regular holononic systems

    • Principal Investigator
      IKEDA Hiroshi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kobe University
  •  Algebro-analytic and/or representation-theoretic study of hypergeometric differential systemsPrincipal Investigator

    • Principal Investigator
      SAITO Mutsumi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Differential operators of gradient type on symmetric spaces and representations of Lie algebras

    • Principal Investigator
      YAMASHITA Hiroshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Combinatorial aspects of representations of groups and algebras

    • Principal Investigator
      YAMADA Hirofumi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  実半単純リー群の表現とベき零軌道のケーリ-型変換

    • Principal Investigator
      YAMASHITA Hiroshi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  エルミート対称空間上のねじれD-加群の研究Principal Investigator

    • Principal Investigator
      齋藤 睦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Classical Problems in Group Theory

    • Principal Investigator
      YOSHIDA Tomoyuki
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  複素解析的葉層構造の特異点の研究

    • Principal Investigator
      諏訪 立雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hokkaido University
  •  単体的複体と凸多面体の離散構造の代数的諸相

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  可積分測地流

    • Principal Investigator
      清原 一吉
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  一般超幾何微分方程式系の代数的性質の研究Principal Investigator

    • Principal Investigator
      齋藤 睦
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  代数的表現論の開発

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University
  •  D加群と表現論

    • Principal Investigator
      堀田 良之
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tohoku University

All 2022 2020 2018 2017 2015 2014 2012 2011 2010 2009 2008 2007 2006 2004 Other

All Journal Article Presentation Book

  • [Book] 第7章決定方程式系とグレブナー基底2006

    • Author(s)
      齋藤 睦
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] Logarithmic A-hypergeometric series II2022

    • Author(s)
      Go Okuyama and Mutsumi Saito
    • Journal Title

      Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry

      Volume: - Issue: 4 Pages: 1057-1086

    • DOI

      10.1007/s13366-022-00669-5

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03199
  • [Journal Article] Logarithmic A-hypergeometric series2020

    • Author(s)
      Saito Mutsumi
    • Journal Title

      International Journal of Mathematics

      Volume: 31 Issue: 13 Pages: 2050110-2050110

    • DOI

      10.1142/s0129167x20501104

    • NAID

      120007173913

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03199
  • [Journal Article] Confluent hypergeometric systems associated with principal nilpotent p-tuples2018

    • Author(s)
      Mutsumi Saito, Hiroyasu Takeda
    • Journal Title

      International Journal of Mathematics

      Volume: 29 Issue: 12 Pages: 1850079-1850079

    • DOI

      10.1142/s0129167x18500799

    • NAID

      120006734167

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K13421
  • [Journal Article] Limits of Jordan Lie subalgebras2017

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Journal of Lie Theory

      Volume: 27 Pages: 51-84

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K13421
  • [Journal Article] First syzygies of irreducible A-hypergeometric quotients2012

    • Author(s)
      Mutsumi Saito
    • Journal Title

      in press, Journal of Pure and Applied Algebra

      Volume: 217 Issue: 1 Pages: 31-44

    • DOI

      10.1016/j.jpaa.2012.04.010

    • NAID

      120005090601

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001, KAKENHI-PROJECT-24540002
  • [Journal Article] The Freeness and minimal free resolutions of Modules of Differential Operators of a Generic Hyperplane Arrangement2012

    • Author(s)
      Norihiro Nakashima, Go Okuyama, and Mutsumi Saito
    • Journal Title

      J. Algebra

      Volume: vol.351(1) Issue: 1 Pages: 294-318

    • DOI

      10.1016/j.jalgebra.2011.10.042

    • NAID

      120003783353

    • URL

      http://hdl.handle.net/2115/48291

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Journal Article] Irreducible quotients of A-hypergeometric systems2011

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Compositio Mathematica

      Volume: Vol.147(2) Issue: 2 Pages: 613-632

    • DOI

      10.1112/s0010437x10004987

    • NAID

      120003837186

    • URL

      http://hdl.handle.net/2115/48486

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Journal Article] Critical modules of the ring of differential operators of an affine semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra 38

      Pages: 618-631

    • NAID

      120002725535

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] Critical modules of the ring of differential operators of an affine semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra

      Volume: Vol.38(2) Issue: 2 Pages: 616-631

    • DOI

      10.1080/00927870902828603

    • NAID

      120002725535

    • URL

      http://hdl.handle.net/2115/44781

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Journal Article] The spectrum of the graded ring of differential operators of a scored semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra 38

      Pages: 829-847

    • NAID

      120002834685

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Journal Article] The spectrum of the graded ring of differential operators of a scored semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra

      Volume: Vol.38(3) Issue: 3 Pages: 829-847

    • DOI

      10.1080/00927870902828611

    • NAID

      120002834685

    • URL

      http://hdl.handle.net/2115/44901

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Journal Article] The spectrum of the graded ring of differential operators of a scored semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra 38

      Pages: 829-847

    • NAID

      120002834685

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] Critical modules of the ring of differential operators of an affine semigroup algebra2010

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra 38

      Pages: 618-631

    • NAID

      120002725535

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Journal Article] Noetherian properties of rings of differential operators of affine semigroup algebras2009

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Osaka Journal of Mathematics 46

      Pages: 529-556

    • NAID

      120004845852

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Journal Article] Noetherian properties of rings of differential operators of affine semigroup algebras2009

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Osaka Journal of Mathematics 46(to appear)

    • NAID

      120004845852

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] Noetherian properties of rings ofdifferential operators of affinesemigroup algebras, to appear2009

    • Author(s)
      Mutsumi Saito and Ken Takahashi
    • Journal Title

      OsakaJournal of Mathematics 46-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] Noetherian properties of rings of differential operators of affine semigroup algebras2009

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Osaka Journal of Mathematics 46(掲載決定)

    • NAID

      120004845852

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] Noetherian properties of rings of differential operators of affine semigroup algebras2009

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Osaka Journal of Mathematics 46

      Pages: 529-556

    • NAID

      120004845852

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] Primitive ideals of the ring of differential operators on an affine toric variety2007

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Tohoku Math. J. 59・1

      Pages: 119-144

    • NAID

      110006196742

    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] Primitive ideals of the ring of differential operators on an affine toric variety2007

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Tohoku Mathematical Journal 59・1

      Pages: 119-144

    • NAID

      110006196742

    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] Primitive ideals of the ring of differential operators on an affine toric variety2007

    • Author(s)
      M.Saito
    • Journal Title

      Tohoku Mathematical Journal (to appear)

    • NAID

      110006196742

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340045
  • [Journal Article] Primitive ideals of thering of differential operators on anaffine toric variety2007

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Tohoku Mathematical 59

      Pages: 119-114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] Finite generation of rings of differential operators of semigroup algebras2004

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Journal of Algebra 278・1

      Pages: 76-103

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340001
  • [Journal Article] Finite generation of rings of differential operators of semigroup algebras2004

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Journal of Algebra 278・1

      Pages: 76-103

    • Data Source
      KAKENHI-PROJECT-14654001
  • [Journal Article] Finite generation of rings of differential operators of semigroup algebras2004

    • Author(s)
      M.Saito, W.N.Traves
    • Journal Title

      Journal of Algebra 278

      Pages: 76-103

    • Data Source
      KAKENHI-PROJECT-15340045
  • [Journal Article] Finite generation of rings of differrential operators of semigroup algebras2004

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Journal of Algebra 278・1

      Pages: 76-103

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340001
  • [Journal Article] Critical modules of thering of differential operators of anaffine semigroup algebra, to appear

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] Critical modules of the ring of differential operators of an affine semigroup algebra

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra (to appear)

    • NAID

      120002725535

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] The spectrum of the graded ring of differential operators of a scored semigroup algebra

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra (掲載決定)

    • NAID

      120002834685

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] The spectrum of the graded ring of differential operators of a scored semigroup algebra

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra (to appear)

    • NAID

      120002834685

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] The spectrum of thegraded ring of differential operatorsof a scored semigroup algebra, to appearin Communications in Algebra

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Journal Article] Critical modules of the ring of differential operators of an affine semigroup algebra

    • Author(s)
      Mutsumi Saito
    • Journal Title

      Communications in Algebra (掲載決定)

    • NAID

      120002725535

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] PGL(V)の或るコンパクト化について2017

    • Author(s)
      齋藤睦
    • Organizer
      第5回半田山・幾何・代数セミナー
    • Data Source
      KAKENHI-PROJECT-15K13421
  • [Presentation] Jordan Lie 部分代数の変形2015

    • Author(s)
      齋藤睦
    • Organizer
      RIMS研究集会「幾何学・組合せ論に現れる環と代数構造」
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2015-06-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13421
  • [Presentation] Limits of Jordan Lie subalgebras2014

    • Author(s)
      Mutsumi Saito
    • Organizer
      The 1st Workshop of JSPS-MAE Sakura Program ``Geometry and Combinatorics of Hyperplane Arrangements and Related Programs''
    • Place of Presentation
      北海道大学(北海道札幌市)
    • Year and Date
      2014-09-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540002
  • [Presentation] The ring of differential operators on an affine toric variety2010

    • Author(s)
      齋藤睦
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      城崎大会議館(兵庫県豊岡市城崎町) 招待講演
    • Year and Date
      2010-10-28
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Presentation] The ring of differential operators on an affine toric variety2010

    • Author(s)
      齋藤睦
    • Organizer
      研究集会「代数幾何学城崎シンポジウム」
    • Place of Presentation
      城崎大会議館(兵庫県豊岡市城崎町)
    • Year and Date
      2010-10-28
    • Data Source
      KAKENHI-PROJECT-21540001
  • [Presentation] A-hypergeometric irreducible modules2009

    • Author(s)
      齋藤睦
    • Organizer
      超幾何方程式研究会2009
    • Place of Presentation
      神戸大学
    • Year and Date
      2009-01-07
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] A-hypergeometric irreduciblemodules2009

    • Author(s)
      齋藤 睦
    • Organizer
      超幾何方程式研究会2009
    • Place of Presentation
      研究集会
    • Year and Date
      2009-01-07
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] A-hypergeometric systems and D-modules on an affine toric variety2008

    • Author(s)
      齋藤 睦
    • Organizer
      第3回代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2008-02-19
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] Critical modules ofrings of differential operators of affinesemigroup algebras, AMS Spring CentralSectional Meeting2008

    • Author(s)
      Mutsumi Saito
    • Organizer
      Special Session onD-modules
    • Place of Presentation
      Indiana UniversityUSA
    • Year and Date
      2008-04-05
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] Critical modules of rings of differential operators of affine semigroup algebras2008

    • Author(s)
      Mutsumi Saito
    • Organizer
      AMS Spring Central Sectional Meeting, Special Session on D-modules
    • Place of Presentation
      米国Indiana University
    • Year and Date
      2008-04-05
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] A-hypergeometric systems andD-modules on an affine toric variety2008

    • Author(s)
      齋藤 睦
    • Organizer
      第3回代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2008-02-18
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] Critical modules of rings of differential operators of affine semigroup algebras2008

    • Author(s)
      Mutsumi Saito
    • Organizer
      AMS central sectional meeting, special session on D-modules
    • Place of Presentation
      Indiana Univ., USA
    • Year and Date
      2008-04-05
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] Critical modules of rings of differential operators of affine semigroup algebras2008

    • Author(s)
      Mutsumi Saito
    • Organizer
      AMS Spring Central Sectional Meeting, Special Session on D-modules
    • Place of Presentation
      Indiana大学(アメリカ)
    • Year and Date
      2008-04-05
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] Left D-modules and rightD-modules on affine toric varieties2007

    • Author(s)
      Mutsumi Saito
    • Organizer
      研究集会「Theoretical Effectivity andPractical Effectivity of Groebner bases」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-01-25
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] D-modules on affinetoric varieties and A-hypergeometricsystems2006

    • Author(s)
      Mutsumi Saito
    • Organizer
      Workshop Rings, Combinatorics and theirrelated topics
    • Place of Presentation
      HokkaidoUniv
    • Year and Date
      2006-09-05
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] アフィントーリック多様体上の微分作用素環の原始イデアルの数え上げ2006

    • Author(s)
      齋藤 睦
    • Organizer
      研究集会「計算代数解析とその
    • Place of Presentation
      京都大学周辺」
    • Year and Date
      2006-06-08
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] 決定方程式系とグレブナー基底2006

    • Author(s)
      齋藤 睦
    • Organizer
      研究集会「グレブナー基底 夏の学校」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-08-31
    • Data Source
      KAKENHI-PROJECT-18540002
  • [Presentation] A-超幾何微分方程式系の既約商

    • Author(s)
      齋藤 睦
    • Organizer
      2012年度日本数学会秋季総合分科会
    • Place of Presentation
      九州大学(福岡市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540002
  • [Presentation] The ring of differential operators of an affine semigroup ring

    • Author(s)
      Mutsumi Saito
    • Organizer
      可換環論シンポジウム
    • Place of Presentation
      京都大学,京都市
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540002
  • [Presentation] First syzygies of irreducible A-hypergeometric quotients

    • Author(s)
      Mutsumi Saito
    • Organizer
      Weekend workshop on computational approaches to D-modules and hypergeometric systems
    • Place of Presentation
      神戸大学,神戸市
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540002
  • 1.  YAMASHITA Hiroshi (30192793)
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  • 57.  TAKAHASHI Masatomo (80431302)
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    # of Collaborated Products: 0 results
  • 58.  KITAGAWA Yumiko (40403323)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 59.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  TUJISITA Toru (10107063)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 61.  NAKAMURA Iku (50022687)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 62.  IKEDA Hiroshi (10031353)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 63.  TAKANO Kyoichi (10011678)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 64.  OHTA Takuya (30211791)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 65.  MAEDA Yoshitaka (60173720)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 66.  OCHIAI Hiroyuki (90214163)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 67.  NORO Masayuki (50332755)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 68.  FUKUYAMA Katsushi (60218956)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 69.  MASUDA Tetsu (00335457)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 70.  KONNO Kazuhiro (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 71.  TOKUNAGA Hiroo (30211395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 72.  佐武 一郎 (00133934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 73.  清水 勇二 (80187468)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 74.  諏訪 立雄 (40109418)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 75.  中居 功 (90207704)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 76.  清原 一吉 (80153245)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 77.  西森 敏之 (50004487)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 78.  本多 尚文 (00238817)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 79.  枡田 幹也 (00143371)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 80.  田口 雄一郎 (90231399)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 81.  三宅 敏恒 (20025430)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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