Theorems · Theorem · group theory

TopRep.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),
  X.d (n + 1) = TopRep.ofHom (X.resolutionX (n + 1)).ρ.coind₁ι - (TopRep.coind₁Functor k G).map (X.d n)

Defined in

Mathlib.RepresentationTheory.Homological.ContCohomology.Basic

Cited by

2 results in Mathlib

Foundations

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

Assumes

RingGroupTopologicalSpaceTopologicalSpaceIsTopologicalGroup