Theorems · Theorem · group theory

Rep.FiniteCyclicGroup.homResolutionIso_hom_f_hom_apply

∀ {k G : Type u} [inst : CommRing k] [inst_1 : CommGroup G] [inst_2 : Fintype G] (A : Rep.{u, u, u} k G) (g : G)
  (hg : ∀ (x : G), x ∈ Subgroup.zpowers g) (i : ℕ) (x : Rep.leftRegular k G ⟶ A),
  (ModuleCat.Hom.hom ((Rep.FiniteCyclicGroup.homResolutionIso A g hg).hom.f i)) x =
    (Rep.homEquiv x) (MonoidAlgebra.single 1 1)

Defined in

Mathlib.RepresentationTheory.Homological.GroupCohomology.FiniteCyclic

Cited by

0 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommGroupFintype