The Irreducibility of the Monodromy Representation Associated with the Dotsenko–Fateev Equation

Abstract

We study the monodromy representation on the solution space of the Fuchsian differential equation of order 3 derived by Dotsenko and Fateev. In particular, we give a condition for the representation being irreducible, construct the subsystems in reducible cases, and obtain the monodromy-invariant Hermitian form on the solution space.