| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We give an explicit description of a Cartan decomposition for spherical homogeneous spaces of reductive type as a generalization of a Cartan decomposition for semisimple symmetric spaces. Using this, we prove that the maximal compact group action on a spherical homogeneous space of reductive type is visible by constructing a slice due to its Cartan decomposition. Concerning to this study, we provide a duality theorem between non-compact semisimple symmetric pairs and commutative compact symmetric triads (joint work with Kurando Baba and Osamu Ikawa). Moreover, we study visible actions on complex Heisenberg homogeneous spaces (joint work with Ali Baklouti).
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