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Wachi Akihito  和地 輝仁

ORCIDConnect your ORCID iD *help
… Alternative Names

和地 輝仁  ワチ アキヒト

WACHI Akihito  和地 輝仁

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Researcher Number 30337018
Other IDs
External Links
Affiliation (Current) 2025: 北海道教育大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help 2020 – 2023: 北海道教育大学, 教育学部, 教授
2009 – 2018: 北海道教育大学, 教育学部, 准教授
2010: 北海道教育大学釧路校, 教育学部, 准教授
2008: 北海道工業大学, 創生工学部, 准教授
2006 – 2008: 北海道工業大学, 総合教育研究部, 准教授
2004 – 2005: 北海道工業大学, 総合教育研究部, 助教授
2001 – 2003: Hokkaido Institute of Technology, Div. of Gen. Edu., Lec., 総合教育研究部, 講師
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / Basic analysis / Algebra
Except Principal Investigator
Algebra / Basic analysis / Algebra / Basic Section 11010:Algebra-related / Basic analysis / Education
Keywords
Principal Investigator
概均質ベクトル空間 / 相対不変式 / 複素鏡映群 / ゴレンスタイン環 / レフシェッツ性 / b-関数 / Capelli恒等式 / b─関数 / Weil表現 / デュアルペア / 対称対 / カペリ恒等式 / 一般バーマ加群 … More
Except Principal Investigator
… More レフシェッツ性 / 完全交叉 / ゴレンスタイン環 / 可換環 / 完全交叉環 / 可換環論 / アルティン環 / ジェネリックイニシャルイデアル / 随伴サイクル / 旗多様体 / 冪零軌道 / 不変微分作用素 / 微分作用素環 / 対称式 / 代数学 / componentwise linearity / ハリシュ・チャンドラ加群 / Rees元 / 等方表現 / 離散系列表現 / 半単純リー群 / 概均質ベクトル空間 / モーメント写像 / ユニタリ表現 / カペリ恒等式 / ヴェイユ表現 / 不変式論 / Principal radical system / Specht ideal / 多項式で生成されるアルチンゴレンスタイン次数環 / Cohomological Blowup 代数 / アルティン・ゴレンスタイン環 / シューア・ワイル双対性 / 余不変式環 / 強レフシェッツ性 / Hilbert Series / Specht polynomial / Primitive Space / 高階弱レフシェッツ性 / 完全交叉環のレフシェッツ性 / Macaulay双零化原理 / Macaulay双対 / 余不変式環のレフシェッツ性 / ゴレンスタイン環のレフシェッツ性 / コロン安定な完全交叉 / 中心単純加群 / アルティン完全交叉環 / filterwise m-fullness / matching性 / Sperner性 / EGH予想 / completely m-fullness / Macaulayの双対元 / componentwise m-fullness / m-fullness / Macaulay dual generator / 終結式 / generic initial ideal / Hilbert function / Lefschetz property / Artinian algebra / complete intersection / Gorenstein algebra / commutative ring / algebra / アルテイン環 / 完全交差 / ヒルベルト関数 / dimension formula / classification / Lie algebra / toric variety / hypergeometric / 階数公式 / 超幾何系 / 次元公式 / 分類 / リー環 / トーリック多様体 / 超幾何 / invariant differential operator / isotropy representation / discrete series / unitary highest weight module / quaternionic symmetric space / nilpotent orbit / Harish-Chandra module / semisimple Lie group / 無限次元表現 / ユニタリ最高ウェイト加群 / 四元数型対称空間 / べき零共役類 / 学校学力 / 教科別観点 / 汎用性 / 能力 / 放課後学習支援 / 経済的支援 / 集団相互教育 / 家庭学習 / 内発的動機付け / 学習動機 / 学習意欲 / 学力困難層 / 学力向上 / 21世紀型学力 / 地域づくり教育 / セルフマネジメント / 地域教育 / 家庭教育支援 / 学習指導 / 学級経営 / 学力 / 学習習慣 / 教科学習 / 地域学校経営 / カリキュラムマネジメント / 社会に開かれた教育課程 / 探究活動 / 資質・能力 / 総合的な能力 / componentwise linear / Rees性 / completely m-full イデアル / m-full イデアル / Betti数 / componentwise linearイデアル / completely m-fullイデアル / m-fullイデアル / Bruha分解 / 球多様体 / 多重旗多様体 / 随伴多様体 / 代数群の軌道 / KGB理論 / Bruhat分解 / 余次元1連結性 / 対称部分群 / 二重旗多様体 / 球作用 / 余接束多様体 / 冪零多様体 / 対称空間 / 軌道 / 代数群 / rev-lexイデアル / ヘッセ行列 / 強いレフシェッツ性 / 単項式イデアル / リース元 / ジョルダン標準形 / 単項式イデアルゴレンスタイン環 / 不変量 / Whittakerベクトル / 離散系列 / 表現の分岐 / 双対性 / 実調和解析 / 一般Whittaker模型 / 調和解析 / テータ対応 / 微分方程式系 / Whittaker模型 / Howe双対性 / 幾何学的不変量 / 特異点解消 / Weil表現 / Capelli恒等式 / 退化主系列表現 / dual pair / 隨伴多様体 / アフィン商多様体 / エルミート型 / ヴェイユ型表現 / ハリシュ-チャンドラ加群 / 普遍包絡代数 / ヤン・バクスター方程式 / ディラク作用素 / 既約表現 / 無限次元リー代数 Less
  • Research Projects

    (15 results)
  • Research Products

    (83 results)
  • Co-Researchers

    (74 People)
  •  Lefschetz properties of commutative algebras generated by relative invariants of prehomogeneous vector spacesPrincipal Investigator

    • Principal Investigator
      和地 輝仁
    • Project Period (FY)
      2022 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Hokkaido University of Education
  •  On the Lefschetz property of complete intersections

    • Principal Investigator
      張間 忠人
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Niigata University
  •  On the Lefschetz property of complete intersections

    • Principal Investigator
      Harima Tadahito
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Human Resources Development through Community&School

    • Principal Investigator
      Tamai Yasuyuki
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Education
    • Research Institution
      Hokkaido University of Education
  •  On the Lefschetz properties of complete intersections in commutative algebra

    • Principal Investigator
      HARIMA Tadahito
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
      Ehime University
  •  Representation theory of Lie algebras and b-functions of prehomogeneous vector spacesPrincipal Investigator

    • Principal Investigator
      Wachi Akihito
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University of Education
  •  Orbits on flag varieties and moment maps

    • Principal Investigator
      NISHIYAMA Kyo
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  Study on the Lefschetz properties and generic initial ideals of complete intersections

    • Principal Investigator
      HARIMA Tadahito
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University of Education
  •  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
  •  Study on the Lefschetz property for complete intersections

    • Principal Investigator
      HARIMA Tadahito
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University of Education
  •  Affine quotient maps and invariant differential operators

    • Principal Investigator
      NISHIYAMA Kyo
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  不変式を用いた一般パーマ加群の研究Principal Investigator

    • Principal Investigator
      和地 輝仁
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido Institute of Technology
  •  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
      YAMASHITA Hiroshi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • 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 systems

    • 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

All 2024 2023 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] The Lefschetz properties. Lecture Notes in Mathematics, 20802013

    • Author(s)
      Harima, Tadahito; Maeno, Toshiaki; Morita, Hideaki; Numata, Yasuhide; Wachi, Akihito; Watanabe, Junzo
    • Total Pages
      250
    • Publisher
      Springer, Heidelberg
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Book] The Lefschetz Properties2013

    • Author(s)
      T. Harima, T. Maeno, H. Morita, Y. Numata, A. Wachi, J. Watanabe
    • Total Pages
      250
    • Publisher
      Springer (Lecture Notes in Mathematics, Vol. 2080)
    • Data Source
      KAKENHI-PROJECT-23540052
  • [Journal Article] The Strong Lefschetz Property of Gorenstein Algebras Generated by Relative Invariants2024

    • Author(s)
      Akihito Wachi , Takahiro Nagaoka
    • Journal Title

      Proceedings of the American Mathematical Society (accepted, being prepared for publication)

      Volume: -

    • DOI

      10.1090/proc/16870

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03508
  • [Journal Article] The resultants of quadratic binomial complete intersections2020

    • Author(s)
      T. Harima, A. Wachi, J. Watanabe
    • Journal Title

      Journal of commutative algebra

      Volume: 12 Issue: 2 Pages: 217-235

    • DOI

      10.1216/jca.2020.12.217

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03508
  • [Journal Article] The resultants of quadratic binomial complete intersections2019

    • Author(s)
      Tadahito Harima, Akihito Wachi, Junzo Watanabe
    • Journal Title

      Journal of Commutative Algebra

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Journal Article] The strong Lefschetz property for complete intersections defined by products of linear forms2019

    • Author(s)
      Tadahito Harima, Akihito Wachi, Junzo Watanabe
    • Journal Title

      Archiv der Mathematik

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Journal Article] Lefschetz properties for complete intersection ideals generated by products of linear forms2018

    • Author(s)
      Martina Juhnke-Kubitzke, Rosa Miro-Roig, Satoshi Murai, Akihito Wachi
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 146 Pages: 3249-3256

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Journal Article] EGH Conjecture and the Sperner Property of complete intersections2017

    • Author(s)
      Tadahito Harima, Akihito Wachi, Junzo Watanabe
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 145 Pages: 1497-1503

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Journal Article] Codimension one connectedness of the graph of associated varieties.2016

    • Author(s)
      Kyo Nishiyama, Peter Trapa and Akihito Wachi.
    • Journal Title

      Tohoku Math. J.

      Volume: 68

    • NAID

      130008106072

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Journal Article] The quadratic complete intersections associated with the action of the symmetric group2015

    • Author(s)
      Tadahito Harima, Akihito Wachi, Junzo Watanabe
    • Journal Title

      Illinois Journal of Mathematics

      Volume: 59 Pages: 99-113

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Journal Article] The quadratic complete intersections associated with the action of the symmetric group.2015

    • Author(s)
      Tadahito Harima, Akihito Wachi and Junzo Watanabe.
    • Journal Title

      Illinois J. Math.

      Volume: 59 Pages: 99-113

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Journal Article] Capelli identities of odd type and b-functions2014

    • Author(s)
      Akihito Wachi
    • Journal Title

      Commentarii Mathematici Universitas Sancti Pauli

      Volume: 63 Pages: 291-303

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Journal Article] Logarithmic derivative and Capelli identities2012

    • Author(s)
      Akihito Wachi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Journal Article] Generic initial ideals of some monomial complete intersections in four variables2010

    • Author(s)
      Tadahito Harima, Sho Sakaki, Akihito Wachi
    • Journal Title

      Archiv der Mathematik 69巻

      Pages: 129-137

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Journal Article] Generic initial ideals of some monomial complete intersections in four variables2010

    • Author(s)
      Tadahito Harima, Sho Sakaki, Akihito Wachi
    • Journal Title

      Archiv der Mathematik 94

      Pages: 129-137

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Journal Article] Generic initial ideals of some monomial complete intersections in four variables2010

    • Author(s)
      Tadahito Arima, Sho Sakaki, Akihito Wachi
    • Journal Title

      Archiv der Amthematik

      Volume: 94 Pages: 129-137

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Journal Article] A note on the Capelli identities for symmetric pairs of Hermitian type2009

    • Author(s)
      Kyo Nishiyama, Akihito Wachi
    • Journal Title

      Infinite dimensional harmonic analysis IV

      Pages: 223-254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Journal Article] Generic initial ideals, graded Betti numbers, and k-Lefschetz properties2009

    • Author(s)
      Wachi, Akihito(Harima, Tadahito)
    • Journal Title

      Comm.Algebra 37

      Pages: 4012-4025

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Journal Article] Zero-dimensional Gorenstein algebras with the action of the symmetric group2009

    • Author(s)
      Hideaki Morita, Akihito Wachi, Junzo Watanabe
    • Journal Title

      Rendiconti del Seminario Matematico della Universita di Padova 121巻

      Pages: 45-71

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Journal Article] Generic initial ideals, graded Betti numbers, and k -Lefschetz properties2009

    • Author(s)
      Tadahito Harima, Akihito Wachi
    • Journal Title

      Communications in Algebra 37巻

      Pages: 4012-4025

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Journal Article] Generic Initial Ideals, Graded Betti Numbers, and k-Lefschetz properties2009

    • Author(s)
      Tadahito Harima, Akihito Wachi
    • Journal Title

      Communications in Algebra 37

      Pages: 4012-4025

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Journal Article] A note on the Capelli identities for symmetric pairs of Hermitian type2009

    • Author(s)
      Kyo Nishiyama and Akihito Wachi
    • Journal Title

      in Proceedings of "Infinite Dimensional Harmonic Analysis IV"edited by Joachim Hilgert et. al.

      Pages: 223-254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Journal Article] Zero-dimensional Gorenstein algebras with the action of the symmetric group2009

    • Author(s)
      Wachi, Akihito(Morita, Hideaki)
    • Journal Title

      Rend.Semin.Mat.Univ.Padova 121

      Pages: 45-71

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Journal Article] Generic initial ideals, graded Betti numbers, and k-Lefschetz properties2009

    • Author(s)
      Akihito Wachi
    • Journal Title

      Communications in Algebra 37

      Pages: 4012-4025

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] A note on the Capelli identities for symmetric pairs of Hermitian type2009

    • Author(s)
      Kyo Nishiyama, Akihito Wachi
    • Journal Title

      Proceedings of "Infinite Dimensional Harmonic Analysis IV"

      Pages: 223-254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Journal Article] Intersection of harmonics and Capelli identities for symmetric pairs2008

    • Author(s)
      Soo Teck Lee, Kyo Nishiyama, Akihito Wachi
    • Journal Title

      Journal of the Mathematical Society of Japan 60巻

      Pages: 955-982

    • NAID

      10024905179

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Journal Article] Intersection of harmonics and Capelli identities for symmetric pairs2008

    • Author(s)
      Lee, Soo Teck, Nishiyama, Kyo, Wachi, Akihito
    • Journal Title

      J. Math. Soc. Japan 60, no.4

      Pages: 955-982

    • NAID

      10024905179

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Journal Article] Intersection of harmonics and Capelli identities for symmetric pairs2008

    • Author(s)
      Soo Teck Lee, Kyo Nishiyama, Akihito Wachi
    • Journal Title

      T. Math. Society Japan 60

      Pages: 955-982

    • NAID

      10024905179

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Journal Article] The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H_42007

    • Author(s)
      Akihito Wachi
    • Journal Title

      Journal of Algebra 318

      Pages: 1032-1038

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] The strong Lefschetz property of the coinvariant ring of the Coxeter group of type $H\sb 4$.2007

    • Author(s)
      Numata, Yasuhide; Wachi, Akihito.
    • Journal Title

      J. Algebra 318

      Pages: 1032-1038

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Journal Article] Central Elements in the Universal Enveloping Algebras for the Split Realization of the Orthogonal Lie Algebras.2006

    • Author(s)
      Akihito Wachi
    • Journal Title

      Letters in Math. Phys. 77

      Pages: 155-168

    • Data Source
      KAKENHI-PROJECT-17340037
  • [Journal Article] Central elements in the universal enveloping algebras for the split realization of the orthogonal Lie algebras2006

    • Author(s)
      Wachi, Akihito
    • Journal Title

      Lett. Math. Phys. 77, no.2

      Pages: 155-168

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Journal Article] Central elements in the universal enveloping algebras for the split realization of the orthogonal Lie algebras2006

    • Author(s)
      Akihito Wachi
    • Journal Title

      Letters in Math. Phys. 77

      Pages: 155-168

    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] Central elements in the universal enveloping algebras for the split realization of the orthogenal Lie algebras.2006

    • Author(s)
      Akihito Wachi
    • Journal Title

      Letters in Mathematical Physics 77

      Pages: 155-168

    • Data Source
      KAKENHI-PROJECT-16740022
  • [Journal Article] Capelli type identities on certain scalar generalized Verma modules. II.2004

    • Author(s)
      Akihito Wachi
    • Journal Title

      Journal of the Mathematical Society of Japan 56・2

      Pages: 447-473

    • NAID

      10013123017

    • Data Source
      KAKENHI-PROJECT-14654001
  • [Journal Article] Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups

    • Author(s)
      Toshiaki Maeno, Yasuhide Numata, Akihito Wachi
    • Journal Title

      Algebras and Representation Theory (Springer)

    • NAID

      130008004821

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Presentation] 相対不変式で生成されるゴレンスタイン環のレフシェッツ性2023

    • Author(s)
      長岡高広, 和地輝仁
    • Organizer
      日本数学会2023年度秋季総合分科会一般講演, 2023年9月21日, 東北大学. 函数解析学分科会講演アブストラクト 33-34.
    • Data Source
      KAKENHI-PROJECT-20K03508
  • [Presentation] 相対不変式で生成されるゴレンスタイン環のレフシェッツ性2023

    • Author(s)
      長岡高広, 和地輝仁
    • Organizer
      日本数学会2023年度秋季総合分科会一般講演
    • Data Source
      KAKENHI-PROJECT-22K03347
  • [Presentation] The Lefschetz property and the Schur-Weyl duality2021

    • Author(s)
      Akihito Wachi
    • Organizer
      MFO-RIMS Tandem Workshop, Symmetries on Polynomial Ideals and Varieties
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03508
  • [Presentation] 相対不変式で生成されるゴレンスタイン環のレフシェッツ性2021

    • Author(s)
      和地輝仁
    • Organizer
      東京名古屋代数セミナー
    • Data Source
      KAKENHI-PROJECT-20K03508
  • [Presentation] The Lefschetz property of the coinvariant algebras of complex reflection groups and some complete intersections2021

    • Author(s)
      Akihito Wachi
    • Organizer
      International Workshop:P-positivity in Matroid Theory and Related Topics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03508
  • [Presentation] Gorenstein algebras generated by determinants2020

    • Author(s)
      Akihito Wachi
    • Organizer
      Lefschetz Properties in Algebra, Geometry and Combinatorics (Oberwolfach, Germany)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03508
  • [Presentation] 一次式の積で定義される完全交叉の強いレフシェッツ性について2018

    • Author(s)
      張間 忠人、和地 輝仁、渡辺 純三
    • Organizer
      日本数学会2018年度秋期総合分科会
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Presentation] A characterization of the Macaulay dual generators for quadratic complete intersections2017

    • Author(s)
      Akihito Wachi
    • Organizer
      Workshop on Lefschetz Properties in Algebra, Geometry and Combinatorics, Mittag-Leffler Insitute (Sweeden)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Presentation] 対称群が作用する0 次元完全交叉環の強いレフシェッツ性2016

    • Author(s)
      和地輝仁、張間忠人、渡辺純三
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学(大阪府吹田市)
    • Year and Date
      2016-09-16
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Presentation] The EGH conjecture and the Sperner property of complete intersections2016

    • Author(s)
      張間忠人、和地輝仁、渡辺純三
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学(大阪府吹田市)
    • Year and Date
      2016-09-16
    • Data Source
      KAKENHI-PROJECT-15K04812
  • [Presentation] 格子多面体の体積公式.2015

    • Author(s)
      和地輝仁.
    • Organizer
      日本数学会2015年度秋季総合分科会一般講演,
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] 交代行列に対する奇数型Capelli恒等式.2015

    • Author(s)
      和地輝仁.
    • Organizer
      研究会「不変性と双対性」
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2015-09-06
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] 格子多面体の体積公式.2015

    • Author(s)
      和地輝仁.
    • Organizer
      数理解析研究所研究集会「幾何学・組合せ論に現れる環と代数構造」
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2015-06-09
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] The Lefschetz properties and complex reflection groups2015

    • Author(s)
      Akihito Wachi
    • Organizer
      Workshop on Lefschetz properties
    • Place of Presentation
      Goettingen大学 (ドイツ)
    • Year and Date
      2015-03-09
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] 不変式で生成されるイデアル2013

    • Author(s)
      和地輝仁
    • Organizer
      2013年度表現論シンポジウム
    • Place of Presentation
      マホロバ・マインズ三浦 (三浦市)
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] The b-function of a reducible prehomogeneous vector space and a scalar generalized Verma module2012

    • Author(s)
      Akihito Wachi
    • Organizer
      International workshop on representation theory and harmonic analysis
    • Place of Presentation
      南開大学 (天津市)
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] q-Analogues of dimension formula and the SLP2012

    • Author(s)
      Akihito Wachi
    • Organizer
      Workshop in Hawaii: Aspects of SLP and WLP
    • Place of Presentation
      Hawaii Tokai International College (ホノルル市)
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] 可約概均質ベクトル空間のb-関数と一般Verma加群2012

    • Author(s)
      和地輝仁
    • Organizer
      数理解析研究所研究集会「表現論と非可換調和解析の展望」
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] 奇数型Capelli恒等式2012

    • Author(s)
      和地輝仁
    • Organizer
      日本数学会2012年度秋季総合分科会一般講演
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] Orbit graphs of symmetric pairs2011

    • Author(s)
      Akihito Wachi
    • Organizer
      The 10th Workshop on Nilpotent Orbits and Representation Theory (NORTh10)
    • Place of Presentation
      九州大学大学院数理学研究院
    • Year and Date
      2011-02-22
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] Generic initial ideals of some complete intersections in four variables2010

    • Author(s)
      張間忠人、和地輝仁
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-23
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Presentation] Capelli identities and b-functions of prehomogeneous vector spaces2010

    • Author(s)
      Wachi, Akihito
    • Organizer
      Workshop on Invariant Theory and Related Topics
    • Place of Presentation
      Inha大学(韓国)
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] Symmetric pairs and Capelli identities2010

    • Author(s)
      Akihito Wachi
    • Organizer
      Workshop on Invariant Theory and Related Topics
    • Place of Presentation
      仁荷大学(韓国)
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] Symmetric pairs and Capelli identities2010

    • Author(s)
      Wachi, Akihito
    • Organizer
      Workshop on Invariant Theory and Related Topics
    • Place of Presentation
      Inha大学(韓国)
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] Capelli identities and b-functions of prehomogeneous vector spaces2010

    • Author(s)
      Akihito Wachi
    • Organizer
      Workshop on Invariant Theory and Related Topics
    • Place of Presentation
      仁荷大学(韓国)
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] Generic initial ideals of some complete intersections in four variables2010

    • Author(s)
      張間忠人・和地輝仁
    • Organizer
      日本数学会 秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-23
    • Data Source
      KAKENHI-PROJECT-20540035
  • [Presentation] The number of nilpotent orbits for symmetric pairs2009

    • Author(s)
      Akihito Wachi
    • Organizer
      The 8th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      滋賀県大津市
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Presentation] 対称対の冪零軌道の組合せ論とHarish-Chandra加群の隨伴多様体2009

    • Author(s)
      和地輝仁
    • Organizer
      2009年度表現論シンポジウム
    • Place of Presentation
      宜野湾市
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] 対称対の冪零軌道についてI,II2009

    • Author(s)
      西山享・和地輝仁
    • Organizer
      日本数学会秋季総合分科会・函数解析学分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-27
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] Logarithmic derivative and Capelli identities2009

    • Author(s)
      和地輝仁
    • Organizer
      RIMS研究集会「群の表現と非可換調和解析の新展開」
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] 対称対の冪零軌道の組合せ論とHarish-Chandra加群の隨伴多様体2009

    • Author(s)
      西山享・和地輝仁
    • Organizer
      表現論シンポジウム
    • Place of Presentation
      健康文化村カルチャーリゾートフェストーネ(沖縄県宜野湾市)
    • Year and Date
      2009-11-18
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] Logarithmic derivative and Capelli identities2009

    • Author(s)
      和地輝仁
    • Organizer
      RIMS 研究集会群の表現と非可換調和解析の新展開
    • Place of Presentation
      数理解析研究所
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] The number of nilpotent orbits for symmetric pairs2009

    • Author(s)
      Akihito Wachi
    • Organizer
      The 8th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      大津市
    • Year and Date
      2009-03-08
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] k-weak Lefschetz properties and maximal Betti numbers2008

    • Author(s)
      Tadahito Harima, Akihito Wachi
    • Organizer
      Meeting of Mathematical Society of Japan
    • Place of Presentation
      Kinki University
    • Year and Date
      2008-03-23
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] k-弱レフシェッツ性とべッチ数の極大性2008

    • Author(s)
      張間忠人, 和地輝仁
    • Organizer
      日本数学会春季総合分科会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] k-強レフシェッツ性とジェネリックイニシャルイデアル2007

    • Author(s)
      張間忠人, 和地輝仁
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] Generic initial ideals, graded Betti numbers and k-Lefschetz properties2007

    • Author(s)
      張間忠人・和地輝仁
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      愛知厚生年金会館ウェルシティーなごや
    • Year and Date
      2007-11-20
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] k-強シフシェッツ性とジェネリックイニシャルイデアル2007

    • Author(s)
      張間忠人・和地輝仁
    • Organizer
      日本数学会 秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] k-弱レフシェッツ性とベッチ数の極大性2007

    • Author(s)
      張間忠人・和地輝仁
    • Organizer
      日本数学会 春季総合分科会
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-03-26
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] k-strong Lefschetz properties and generic initial ideals2007

    • Author(s)
      Tadahito Harima, Akihito Wachi
    • Organizer
      Meeting of Mathematical Society of Japan
    • Place of Presentation
      Tohoku University
    • Year and Date
      2007-09-23
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] Generic initial ideals, graded Betti numbers and k-Lefschetz properties2007

    • Author(s)
      張間忠人, 和地輝仁
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      愛知厚生年金会館ウェルシティーなごや(名古屋市)
    • Year and Date
      2007-11-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] Generic initial ideals, graded Betti numbers and k-Lefschetz properties2007

    • Author(s)
      Tadahito Harima, Akihito Wachi
    • Organizer
      29th Symposium on Commutative algebra
    • Place of Presentation
      Nagoya
    • Year and Date
      2007-11-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540003
  • [Presentation] Capelli identities for symmetric pairs2006

    • Author(s)
      Akihito Wachi
    • Organizer
      Representation Theory and Prehomogeneous Vector Spaces
    • Place of Presentation
      IRMA, Strasbourg
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Presentation] Capelli identities for symmetric pairs2005

    • Author(s)
      Akihito Wachi
    • Organizer
      SNU-HU 3rd Joint Symposium on Mathematics
    • Place of Presentation
      ソウル大学
    • Data Source
      KAKENHI-PROJECT-17340037
  • [Presentation] 複素鏡映群の余不変式環の強レフシェッツ性

    • Author(s)
      和地輝仁
    • Organizer
      日本数学会2014年度年会一般講演
    • Place of Presentation
      学習院大学
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] 不変式で生成されるイデアル

    • Author(s)
      和地輝仁
    • Organizer
      2013年度表現論シンポジウム
    • Place of Presentation
      マホロバ・マインズ三浦
    • Data Source
      KAKENHI-PROJECT-23540179
  • [Presentation] 複素鏡映群の余不変式環の強レフシェッツ性

    • Author(s)
      Akihito Wachi
    • Organizer
      第35回可換環論シンポジウム
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540179
  • 1.  YAMASHITA Hiroshi (30192793)
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  • 59.  早勢 裕明 (80611201)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  木戸口 正宏 (90405093)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 61.  中村 典生 (70285758)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 62.  西村 聡 (70634567)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 63.  土岐 圭佑 (60759041)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 64.  大滝 孝治 (90750422)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 65.  阿部 美穂子 (70515907)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 66.  雲岡 梓 (30732888)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 67.  津田 順二 (50634565)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 68.  鴨川 太郎 (40535473)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 69.  菊野 雅之 (90549213)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 70.  山本 悟 (80748822)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 71.  富田 俊明 (60584208)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 72.  三宅 敏恒 (20025430)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 73.  SOOTECK Lee
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 74.  PETER Trapa
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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