| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
Cones which are both open and convex sets in Euclidean spaces are called open convex cones. Open convex cones on which Lie groups act transitively are said to be homogeneous. Domains that appear as sections of homogeneous convex cones by hyperplanes not passing through the origin are called homogeneous real Siegel domains. In this research, we have investigated their various structures, in particular, we have described explicit formulae of basic relative invariants which have intimate relations with the algebraic structure, and have obtained realizations of general open convex cones through oriented graphs.
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