SL(n,C)中可解子群结构及几类可积型Fuchsian系统(英文)  

STRUCTURE OF SOLVABLE SUBGROUP IN SL(n, C) AND SEVERAL KINDS OF INTEGRABLE FUCHSIAN SYSTEMS

作　　者：张绍飞[1] 王栓奇[1] 李慧珍[2] 

机构地区：[1]北京航空航天大学数学与系统科学学院 [2]装甲兵工程学院基础部数学室

出　　处：《数学杂志》2012年第5期761-765,共5页Journal of Mathematics

摘　　要：本文研究并给出一类SL(n,C)中的有限生成的可解子群结构定理.利用单值群的可解性与Fuchsian方程的可积性关系,给出几类可积型Fuchsian系统.In this paper,we give structure theorem of solvable subgroup generated by finite elements in SL（n,C）.By using relation between the solvability of monodromy group and the integrability of Fuchsian equations,we obtain several kinds of integrable Fuchsian systems.

关 键 词：可积性 Fuchs方程 单值群 可解群 特殊线性群 

分 类 号：O152.3[理学—数学]