SL(n,C)中可解子群结构及几类可积型Fuchsian系统

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.