Theorems · Definition · group theory

groupHomology.inhomogeneousChains.d

{k G : Type u} →
  [inst : CommRing k] →
    [inst_1 : Group G] →
      (A : Rep.{u, u, u} k G) → (n : ℕ) → ModuleCat.of k ((Fin (n + 1) → G) →₀ ↑A) ⟶ ModuleCat.of k ((Fin n → G) →₀ ↑A)

The differential in the complex of inhomogeneous chains used to calculate group homology.

Defined in

Mathlib.RepresentationTheory.Homological.GroupHomology.Basic

Cited by

19 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroup