Theorems · Theorem · group theory

TopRep.hom_d_succ

∀ {k : Type u_1} {G : Type u_2} [inst : Ring k] [inst_1 : Group G] [inst_2 : TopologicalSpace k]
  [inst_3 : TopologicalSpace G] [inst_4 : IsTopologicalGroup G] (X : TopRep k G) (n : ℕ),
  TopRep.Hom.hom (X.d (n + 1)) =
    (X.resolutionX (n + 1)).ρ.coind₁ι - ContRepresentation.coind₁Map (TopRep.Hom.hom (X.d n))

Defined in

Mathlib.RepresentationTheory.Homological.ContCohomology.Basic

Cited by

0 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingGroupTopologicalSpaceTopologicalSpaceIsTopologicalGroup