| Project/Area Number |
15540037
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | University of Aizu |
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Principal Investigator |
KAMIYA Noriaki University of Aizu, Sch. Comp. Sci. Eng., コンピュータ理工学部, 教授 (90144691)
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| Co-Investigator(Kenkyū-buntansha) |
ASAI Kazuto University of Aizu, Sch. Comp. Sci. Eng., コンピュータ理工学部, 講師 (20264567)
WATANABE Shigeru University of Aizu, Sch. Comp. Sci. Eng., コンピュータ理工学部, 講師 (30264568)
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| Project Period (FY) |
2003 – 2006
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| Project Status |
Completed (Fiscal Year 2006)
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| Budget Amount *help |
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥800,000 (Direct Cost: ¥800,000)
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| Keywords | triple systems / Lie algebras / nonassociative algebras / 非結合的代数 / 物理への代数的応用 |
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| Research Abstract |
These is described as follows.
Our research is contained in nonassociative algebras, (Math Rev 17 ).
Recently, we are studying about A construction of Lie superalgebras from triple systems.
And give a characterization to triple systems, Jordan superalgebras, a Peirce decomposition of triple systems.
On the other hand, Examples of triple systems whose triple product can be expressed in Terms a simpler binary product are reviewed. These include some Jordan triple system, As well as some Freudenthal-Kantor triple systems.
Composition triple systems, that is triple systems endowed with a quadratic form are Considered too.
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