Theorems · Theorem · group theory

groupHomology.pOpcycles_comp_opcyclesIso_hom_apply

∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] (A : Rep.{u, u, u} k G) (x : (Fin 0 → G) →₀ ↑A),
  (CategoryTheory.ConcreteCategory.hom (groupHomology.opcyclesIso₀ A).hom)
      ((CategoryTheory.ConcreteCategory.hom (HomologicalComplex.pOpcycles (groupHomology.inhomogeneousChains A) 0)) x) =
    (Representation.Coinvariants.mk A.ρ) ((CategoryTheory.ConcreteCategory.hom (groupHomology.chainsIso₀ A).hom) x)

Defined in

Mathlib.RepresentationTheory.Homological.GroupHomology.LowDegree

Cited by

0 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroup