| 摘要: |
| 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. |
| 关键词: 双全纯双射变换 高斯整数矩阵 自同构群 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金资助(11101266,11071159) |
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| Certain bijective biholomophic transformation of a Siegel domain of type 2 onto the n-dimensional unit ball |
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Zhu Xiaolin1, He Junyan2
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1.College of Arts and Science,Shanghai Maritime University;2.Department of Mathematics and Physics,Shanghai University of Electric Power
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| Abstract: |
| 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. |
| Key words: bijective Biholomophic Transformation Gauss integer matrix automorphism Group |
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