| Budget Amount *help |
¥10,790,000 (Direct Cost: ¥8,300,000、Indirect Cost: ¥2,490,000)
Fiscal Year 2015: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2014: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2012: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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| Outline of Final Research Achievements |
We were aiming at determining determining orbits over the p-adic integer ring. For that purpose, we considered representations of reductive groups which are not necessarily split over a complete field. We proved that the stratification and the inductive structure of the set of unstable points is rational over the ground field. Also we came up with an arithmetic interpretation of rational orbits of the space of paris of exceptional Jordan algebras. When the corresponding octonion is split, we proved that rational orbits correspond bijectively with cubic extensions of the ground field. Also we constructed the equivariant map of the lowest degree which is associated with this representation.
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