2010 Fiscal Year Final Research Report
A study of nonassociative algebras and mathematical physics
| Project/Area Number |
19540042
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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 | The University of Aizu |
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Principal Investigator |
KAMIYA Norikaki The University of Aizu, コンピュータ理工学部, 教授 (90144691)
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| Co-Investigator(Kenkyū-buntansha) |
SUZUKI Taro 会津大学, コンピュータ理工学部, 准教授 (90272179)
MORI Kazuyoshi 会津大学, コンピュータ理工学部, 上級准教授 (20252322)
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| Project Period (FY) |
2007 – 2010
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| Keywords | リー環論 / 三項系代数 |
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| Research Abstract |
A study of construction of G(3),F(4) D(m,n) from triple systems.
This construction is a mixed field of nonassociative algebras and math. Physics..
Historicaly speaking, we think that the origin is from Cartan Killing,Freudenthal, Jacobson etc. Our methods are a methods of means in without root system using.
That is, A classification of triple systems and Peirce decomposition, Nambu identity relations had considered.
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