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.
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Katsuhisa Mimachi (2024) studied this question.
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