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 VThe submodule of G-invariant elements of a continuous representation.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- Set.ofPredproof · cited by 6,101
- Monoidstatement and proof · cited by 3,887
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- ContRepresentationstatement and proof · cited by 104
Cited by18
Results whose statement or proof uses this declaration.
- TopRep.invariantsproof · cited by 5
- ContIntertwiningMap.mapInvariantsstatement · cited by 3
- ContIntertwiningMap.mapInvariantsOfResstatement · cited by 3
- TopRep.invariantsFunctorproof · cited by 3
- TopRep.homogeneousCochains.d_applystatement · cited by 2
- ContRepresentation.mem_invariantsstatement · cited by 1
- ContIntertwiningMap.mapInvariantsOfRes_applystatement and proof · cited by 0
- ContIntertwiningMap.mapInvariants_applystatement and proof · cited by 0
- ContIntertwiningMap.mk_mapInvariantsOfRes_applystatement and proof · cited by 0
- ContIntertwiningMap.mk_mapInvariants_applystatement and proof · cited by 0
- ContinuousCohomology.cochainsMap_f_homstatement · cited by 0
- ContinuousCohomology.cocycles₀Isostatement · cited by 0