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

著者

• Kai Chifune

  Graduate School of Mathematics Nagoya University

• 伊師 英之

  Faculty of Mathematics and Physics Institute of Science and Engineering Kanazawa University

関連論文

• THE REPRESENTATIVE DOMAIN OF A HOMOGENEOUS BOUNDED DOMAIN

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