On reducible monodromies realized by reducible Fuchsian systems
It is shown that under the conditions of theorems 1 and 2 in [\textit{A. A. Bolibrukh}, J. Dyn. Control Syst. 5, No. 4, 453-472 (1999; Zbl 0952.34073)], the Fuchsian systems realizing the reducible monodromy are in fact reducible systems. On the other hand, when the reducible monodromy is realized by a Fuchsian system, sufficient conditions on the monodromy matrices under which the final Fuchsian system can be chosen reducible are given.
scientific article; zbMATH DE number 1431891