THE REPRESENTATIVE DOMAIN OF A HOMOGENEOUS BOUNDED DOMAIN THE REPRESENTATIVE DOMAIN OF A HOMOGENEOUS BOUNDED DOMAIN

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Author(s)

    • KAI Chifune
    • Faculty of Mathematics and Physics Institute of Science and Engineering Kanazawa University

Abstract

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.

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.

Journal

  • Kyushu Journal of Mathematics

    Kyushu Journal of Mathematics 64(1), 35-47, 2009

    Faculty of Mathematics, Kyushu University

Codes

  • NII Article ID (NAID)
    130000259012
  • NII NACSIS-CAT ID (NCID)
    AA10994346
  • Text Lang
    ENG
  • Article Type
    Departmental Bulletin Paper
  • ISSN
    1340-6116
  • Data Source
    IR  J-STAGE 
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