| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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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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