(k : Type u) →
  {G : Type u} →
    [inst : CommRing k] →
      [inst_1 : CommGroup G] →
        [inst_2 : Fintype G] →
          (g : G) →
            (Rep.FiniteCyclicGroup.chainComplexFunctor k g).obj (Rep.leftRegular k G) ⟶
              (ChainComplex.single₀ (Rep.{u, u, u} k G)).obj (Rep.trivial k G k)