2010 Fiscal Year Final Research Report
Study of infinite dimensional algebraic groups and Lie algebras, and applications to material science and life science
| Project/Area Number |
19540006
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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 Tsukuba |
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Principal Investigator |
MORITA Jun University of Tsukuba, 大学院・数理物質科学研究科, 教授 (20166416)
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| Project Period (FY) |
2007 – 2010
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| Keywords | 代数群 / リー環 / 物質科学 / 生命科学 |
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| Research Abstract |
Some structures of infinite dimensional algebraic groups and Lie algebras have been studied. Especially, certain hyperbolic type Kac-Moody groups have been studied, and the classification of locally affine Lie algebras has been given. Algebraic theory related to finite and infinite sequences of letters has been created, and some algebraic method to control those sequences was found. Some useful mathematical applications to quasicrystals as material science and DNA sequences as life science have been constructed.
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