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Application of Physics from nonassociative algebras

Application of Physics from nonassociative algebras
非结合代数物理学的应用
批准号:
10640024
负责人:
KAMIYA Noriaki
金额:
$1.79万
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
1998
资助国家:
日本
项目状态:
已结题
起止时间:
1998 至 2001

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中文摘要
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英文摘要
The history of the subject in this study started from Freudenthal, Kantor, and Koecher works.Afterwards, several mathemathicians have been studied the problem of construction of Lie algebras,from triple systems.Our main purpose is to investigate and characterize the structure of nonassociative algebras(Lie algebras, Jordan algebras etc.)In this result, we consider an construction of the following algebraic concept from triple systems ;Jordan superalgebras,Lie superalgebras,Balanced Freudenthal-Kantor triple systems,Jordan-Lie super algebras,Lie super triple systems etc.we have published or worked in this research project.(Grant in aid for scientific research).
期刊论文(22)
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会议论文
N.Kamiya: "Embedding of hio algebras in Iso.structuable algebras"Acta App.Mathematicae. 50. 167-175 (1998)
N.Kamiya:“hio 代数在 Iso.structuable 代数中的嵌入”Acta App.Mathematicae。
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N.Kamiya: "On 8-Lie supertiple systems associated with (ε,8)-Freudenthal-Kantor triple systems"Proc.Edinburgh Math.Soc. 43. 243-260 (2000)
N. Kamiya:“关于与 (ε,8)-Freudenthal-Kantor 三重系统相关的 8-Lie 超重系统”Proc.Edinburgh Math.Soc 43. 243-260 (2000)
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N.Kamiya: "A characterizations of Basic Algelras,"会津大学 Report.(Tech.Report). 99-4-001. 1-5 (1999)
N. Kamiya:“基本阿尔杰拉斯的特征”,会津大学报告。(技术报告)99-4-001(1999)。
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N.Kamiya: "On S-Lie super triple systems ass.F-K.t.s"Proc.Edinburgh Math.. 43. 243-260 (2000)
N.Kamiya:“论 S-Lie 超级三重系统 ass.F-K.t.s”Proc.Edinburgh Math.. 43. 243-260 (2000)
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22
    Applications of Mathematical physics of triple systems
    • 批准号:
      15540037
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.05万
    • 财政年份:
      2003
    • 负责人:
      KAMIYA Noriaki
    • 依托单位:
    海外基金