Theorems · Theorem · group theory

groupHomology.chainsFunctor_obj_d

∀ (k G : Type u) [inst : CommRing k] [inst_1 : Group G] (A : Rep.{u, u, u} k G) (i j : ℕ),
  ((groupHomology.chainsFunctor k G).obj A).d i j =
    ChainComplex.of.d (fun n => ModuleCat.of k ((Fin n → G) →₀ ↑A)) (fun n => groupHomology.inhomogeneousChains.d A n) i
      j

Defined in

Mathlib.RepresentationTheory.Homological.GroupHomology.Functoriality

Cited by

0 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroup