Theorems · Definition · group theory

ContinuousCohomology.zeroIso

{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] →
              (A : TopRep k G) → continuousCohomology 0 A ≅ TopModuleCat.of k ↥A.ρ.invariants

The isomorphism between the zeroth continuous cohomology group and the invariants of a representation.

Defined in

Mathlib.RepresentationTheory.Homological.ContCohomology.LowDegree

Cited by

0 results in Mathlib

Foundations

Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingGroupTopologicalSpaceTopologicalSpaceIsTopologicalGroup