Theorems · Definition · Lie groups

TopRep.invariantsResMap

{k : Type u} →
  [inst : TopologicalSpace k] →
    [inst_1 : Ring k] →
      {G : Type u_1} →
        {H : Type u_2} →
          [inst_2 : Group G] →
            [inst_3 : Group H] →
              (φ : H →* G) → {X : TopRep k G} → {Y : TopRep k H} → (TopRep.res φ X ⟶ Y) → (X.invariants ⟶ Y.invariants)

The morphism between invariant submodules induced by a morphism res φ X ⟶ Y of topological H-representations, where φ : H →* G is a group homomorphism.

Defined in

Mathlib.RepresentationTheory.Continuous.TopRep

Cited by

4 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceRingGroupGroup