Mathlib Map

Theorems · Definition · Lie groups

ContRepresentation.invariants

{R : Type u_1} →
  {G : Type u_2} →
    {V : Type u_3} →
      [inst : Monoid G] →
        [inst_1 : Ring R] →
          [inst_2 : AddCommGroup V] →
            [inst_3 : TopologicalSpace V] →
              [inst_4 : IsTopologicalAddGroup V] → [inst_5 : Module R V] → ContRepresentation R G V → Submodule R V

The submodule of G-invariant elements of a continuous representation.

Defined in
Mathlib.RepresentationTheory.Continuous.Basic
Cited by
11 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidRingAddCommGroupTopologicalSpaceIsTopologicalAddGroupModule

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TopRep.invariants · cited by 5TopRep.invariantsContIntertwiningMap.mapInvariants · cited by 3ContIntertwiningMap.mapIn…ContIntertwiningMap.mapInvariantsOfRes · cited by 3ContIntertwiningMap.mapIn…TopRep.invariantsFunctor · cited by 3TopRep.invariantsFunctorTopRep.homogeneousCochains.d_apply · cited by 2homogeneousCochains.d_app…ContRepresentation.mem_invariants · cited by 1ContRepresentation.mem_in…ContIntertwiningMap.mapInvariantsOfRes_apply · cited by 0ContIntertwiningMap.mapIn…ContIntertwiningMap.mapInvariants_apply · cited by 0ContIntertwiningMap.mapIn…ContIntertwiningMap.mk_mapInvariantsOfRes_apply · cited by 0ContIntertwiningMap.mk_ma…ContIntertwiningMap.mk_mapInvariants_apply · cited by 0ContIntertwiningMap.mk_ma…ContinuousCohomology.cochainsMap_f_hom · cited by 0ContinuousCohomology.coch…ContinuousCohomology.cocycles₀Iso · cited by 0ContinuousCohomology.cocy…ContinuousCohomology.cocycles₀IsoAux · cited by 0ContinuousCohomology.cocy…ContinuousCohomology.cocycles₀IsoAux' · cited by 0ContinuousCohomology.cocy…ContinuousCohomology.d₀kerIso · cited by 0ContinuousCohomology.d₀ke…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupRing · cited by 7463RingSubmodule · cited by 7192SubmoduleSet.ofPred · cited by 6101Set.ofPredMonoid · cited by 3887MonoidIsTopologicalAddGroup · cited by 1394IsTopologicalAddGroupContRepresentation · cited by 104ContRepresentationContRepresentation.invariantsCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by18

Results whose statement or proof uses this declaration.