THE REPRESENTATIVE DOMAIN OF A HOMOGENEOUS BOUNDED DOMAIN
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概要
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The representative domain gives a nice realization for a homogeneous bounded domain, which is a generalization of the Harish-Chandra realization for a symmetric bounded domain. We show that the representative domain coincides with the image of the Cayley transform introduced by Penney and Nomura. As an application, we see that a homogeneous bounded domain is symmetric if and only if its representative domain is convex.
- Faculty of Mathematics, Kyushu Universityの論文
- 2010-03-00
Faculty of Mathematics, Kyushu University | 論文
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