Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains

• DOI: 10.1007/s11425-006-2009-1
• Publication Date: 2006-10-06T11:12:58Z
• Authors: Yichao Xu; Minru Chen; Songya Ma
• Keywords: 0103 physical sciences; 01 natural sciences

We known that the maximal connected holomorphic automorphism group Aut( D ) (0) is a semi-direct product of the triangle group T( D ) and the maximal connected isotropic subgroup Iso( D ) (0) of a fixed point in the complex homogeneous bounded domain D and any complex homogeneous bounded domain is holomorphic isomorphic to a normal Siegel domain D ( V N , F ). In this paper, we give the explicit formula of any holomorphic automorphism in T( D ( V N , F )) and Iso( D ( V N , F )) (0) , where G (0) is the unit connected component of the Lie group G .