通过增加uniton数实现G-uniton的显式构造  

Explicit Construction for G-uniton via Adding Unitons

作　　者：贺群[1] 董丽[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2006年第6期832-835,共4页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(10471105;10571154)

摘　　要：研究从单连通区域ΩR2∪{∞}到酉群U(N)的实形式G(包括正交群和辛群)的调和映射,给出了增加G-uniton数的两种充要条件.证明任何G-n-uniton可以从一个0-uniton通过纯代数运算和求解—-问题的积分变换构造而得,并给出了可增加G-uniton数的G-旗因子的两种纯代数构造方法.The harmonic maps from a simply connected domain Ω lohtain in R^2∪{∞} into some real forms of unitary group U（N）, which contain symplectie groups and orthogonal groups, are studied. Two kinds of criterions of adding G-uniton numbers are proposed. It is proved that any G-n-uniton can be obtained from a 0-uniton by purely algebraic operations and integral transformations to solve the δ^- - problem. Two kinds of purely algebraic ways to construct G-flag factors by adding uniton numbers are also proposed.

关 键 词：G-扩张解 G-酉子 AUN-G-旗因子 

分 类 号：O186.16[理学—数学] O175.5[理学—基础数学]