Wachi Akihito 和地輝仁

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WACHI Akihito 和地輝仁

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Researcher Number	30337018
Other IDs
External Links
Affiliation (Current)	2023: 北海道教育大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help	2020 – 2022: 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 / 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 / 中心単純加群 / 高階弱レフシェッツ性 / 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 / 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

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 – 2023
- 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

[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 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] 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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2. HARIMA Tadahito (30258313)

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Wachi Akihito 和地 輝仁

WACHI Akihito 和地 輝仁

Research Projects

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Lefschetz properties of commutative algebras generated by relative invariants of prehomogeneous vector spacesPrincipal Investigator

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Representation theory of Lie algebras and b-functions of prehomogeneous vector spacesPrincipal Investigator

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不変式を用いた一般パーマ加群の研究Principal Investigator

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Wachi Akihito 和地輝仁

WACHI Akihito 和地輝仁