2016 Fiscal Year Final Research Report
Study on the structures and representations of infinite dimensional algebraic groups and Lie algebras, and applications to quasiperiodic structures
| Project/Area Number |
26400005
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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 筑波大学, 数理物質系, 教授 (20166416)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | algebraic group / Lie algebra / aperiodic structure |
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| Outline of Final Research Achievements |
The structures and representations of Kac-Noody groups as infinite dimensional algebraic groups are studied. In particular, the so-called simplicity problem is studied. In fact, the simplicity of some rank two Kac-Moody groups is established. On the other hand, the classification of locally extended affine Lie algebras is studied. Especially the classification problem, the maximality problem and the minimality problem are studied for locally affine Lie algebras. Furthermore, quasiperiodic and aperiodic structures are studied. And also associated algebraic structures are studied. In particular, using their representations, algorithms and programs are newly refined,
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| Free Research Field |
Algebra
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