| SL(n,C)上一类特殊可解子群的结构及其在Fuchs系统中的应用 |
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| 引用本文： | 朱秀丽,张绍飞,邱菀华.SL(n,C)上一类特殊可解子群的结构及其在Fuchs系统中的应用[J].大学数学,2011,27(1):52-55. |
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| 作者姓名： | 朱秀丽 张绍飞 邱菀华 |
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| 作者单位： | 朱秀丽,邱菀华,ZHU Xiu-li,QIU Wan-hua(北京航空航天大学,经管学院,北京,100083);张绍飞,ZHANG Shao-fei(北京航空航天大学,数学与系统科学学院,北京,100191) |
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| 摘 要： | 给出了SL(n,C)中一类特殊的具有有限个生成元的可解子群的结构定理.由单值群的可解性与Fuchs系统的可积性之间的关系,研究对应的单值群是可解的环面上只有一个正则起点的n阶Fuchs方程的解Riemann曲面结构,进而研究其解的大范围性质.
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| 关 键 词： | Fuchs系统 单值群 特殊线性群 可解群 可积性 |
Structure of Solvable Subgroups in SL(n,C) and Its Application to Fuchsian System |
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| ZHU Xiu-li,ZHANG Shao-fei,QIU Wan-hua.Structure of Solvable Subgroups in SL(n,C) and Its Application to Fuchsian System[J].College Mathematics,2011,27(1):52-55. |
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| Authors: | ZHU Xiu-li ZHANG Shao-fei QIU Wan-hua |
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| Institution: | ZHU Xiu-li1,ZHANG Shao-fei2,QIU Wan-hua1(1.Beihang University Economics and Management Institute,Beijing 100083,China,Beihang University Mathematics and Systems Science Insititute,Beijing 100191,China) |
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| Abstract: | It is given a structure of solvable subgroup which has finite element in this paper.The solvable group of SL(n,C) and the solvability of Fuchsian equation are contracted by Khovanskiy theorem,such that the solvability of Fuchsian equation' research is transformed the solvability of its monodromy group' research.On the basis of the structure theorem of solvable group in SL(n,C),we will discuss the structure of solvable group in SL(n,C),and we will apply it to the study of the integrability of Fuchsian equati... |
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| Keywords: | Fuchsian system monodromy group special linear group solvable group almost solvable group solvability |
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