Theorems · Theorem · group theory

inhomogeneousCochains.d_eq

∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] (A : Rep.{u, u, u} k G) (n : ℕ),
  inhomogeneousCochains.d A n =
    CategoryTheory.CategoryStruct.comp (Rep.freeLiftLEquiv k G (Fin n → G) A).toModuleIso.inv
      (CategoryTheory.CategoryStruct.comp (((Rep.barComplex k G).linearYonedaObj k A).d n (n + 1))
        (Rep.freeLiftLEquiv k G (Fin (n + 1) → G) A).toModuleIso.hom)

Defined in

Mathlib.RepresentationTheory.Homological.GroupCohomology.Basic

Cited by

0 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroup