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第二类Siegel域到超球上一个双全纯双射变换

Certain bijective biholomophic transformation of a Siegel domain of type 2 onto the n-dimensional unit ball
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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. 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.
出处 《上海师范大学学报(自然科学版)》 2013年第4期337-340,共4页 Journal of Shanghai Normal University(Natural Sciences)
基金 国家自然科学基金资助(11101266 11071159)
关键词 双全纯双射变换 高斯整数矩阵 自同构群 bijective Biholomophic Transformation Gauss integer matrix automorphism Group
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