| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
In this research project, we aimed to give a good realization of irreducible unitary representations of reductive Lie groups corresponding to singular nilpotent orbits through geometric quantization of adjoint orbits. As a result, the embeddings of every singular quaternionic unitary representation of exceptional simple Lie groups of real rank 4 into real parabolically induced modules (the principal series) are specified, and we have shown the uniqueness of such embeddings. Moreover, geometric structure of singular quaternionic nilpotent orbits has been described in terms of lower rank Hermite symmetric pairs (tube type) or quaternionic symmetric pairs.
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