基于在全纯变换下保持算术子群间的算术性质,得到了第二类Siegel域到超球上一个双全纯双射变换.主要计算出一个具体的高斯整数模矩阵,并获得此类矩阵要满足的条件.
Based on preserving more arithmetic properties among arithmetic subgroups under holomophic transformation, a certain bijiective biholomophic transformation of a Siegel of type 2 onto the n-dimensional unit ball is obtained. A concrete modular matrix over Z[ i] is computed and the conditions for this kind of matrices are showed.