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 (KAMIYA Noriaki) 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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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | リー環論 / 三項系代数 / リー代数 / 三項系 / 非結合的代数 / 環論 / 非結合的代数系 |
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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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Report
(6 results)
Research Products
(33 results)
