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We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (gl k , gl n )-duality for the space of polynomials in kn anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality.doi:10.3842/sigma.2020.035 fatcat:dppgzag7jnbnxczoe4zuu6n3au