Theorems · Theorem · group theory

groupHomology.chainsMap_f_single

∀ {k G H : Type u} [inst : CommRing k] [inst_1 : Group G] [inst_2 : Group H] {A : Rep.{u, u, u} k G}
  {B : Rep.{u, u, u} k H} (f : G →* H) (φ : A ⟶ Rep.res f B) (n : ℕ) (x : Fin n → G) (a : ↑A),
  ((CategoryTheory.ConcreteCategory.hom ((groupHomology.chainsMap f φ).f n)) fun₀ | x => a) =
    fun₀ | ⇑f ∘ x => (Rep.Hom.hom φ) a

Defined in

Mathlib.RepresentationTheory.Homological.GroupHomology.Functoriality

Cited by

0 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroupGroup