Theorems · Theorem · group theory

groupCohomology.cochainsMap_congr

∀ {k G H : Type u} [inst : CommRing k] [inst_1 : Group G] [inst_2 : Group H] {A : Rep.{u, u, u} k H}
  {B : Rep.{u, u, u} k G} {f g : G →* H} {φ : Rep.res f A ⟶ B} {ψ : Rep.res g A ⟶ B},
  f = g →
    (Rep.Hom.hom φ).toLinearMap = (Rep.Hom.hom ψ).toLinearMap →
      groupCohomology.cochainsMap f φ = groupCohomology.cochainsMap g ψ

Defined in

Mathlib.RepresentationTheory.Homological.GroupCohomology.Functoriality

Cited by

0 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroupGroup