| 第二类Siegel域到超球上一个双全纯双射变换 |
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| 引用本文： | 朱小林,贺君燕. 第二类Siegel域到超球上一个双全纯双射变换[J]. 上海师范大学学报(自然科学版), 2013, 42(4): 337-340 |
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| 作者姓名： | 朱小林 贺君燕 |
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| 作者单位： | [1]上海海事大学文理学院,上海201306 [2]上海电力学院数理系,200090 |
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| 基金项目： | 国家自然科学基金资助（11101266,11071159） |
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| 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.
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| 关 键 词： | 双全纯双射变换 高斯整数矩阵 自同构群 |
| 收稿时间： | 2012-12-25 |
Certain bijective biholomophic transformation of a Siegel domain of type 2 onto the n-dimensional unit ball |
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| Zhu Xiaolin and He Junyan. Certain bijective biholomophic transformation of a Siegel domain of type 2 onto the n-dimensional unit ball[J]. Journal of Shanghai Normal University(Natural Sciences), 2013, 42(4): 337-340 |
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| Authors: | Zhu Xiaolin and He Junyan |
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| Affiliation: | 2 (1. College of Arts and Science, Shanghai Maritime University, Shanghai 201306, China; 2. Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China) |
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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. |
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| Keywords: | bijective Biholomophic Transformation Gauss integer matrix automorphism Group |
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