Theorems · Definition · Lie groups

ContRepresentation.restrict

{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] →
                  {H : Type u_6} → [inst_6 : Monoid H] → ContRepresentation R G V → (H →* G) → ContRepresentation R H V

The restriction of a continuous representation along a monoid homomorphism.

Defined in

Mathlib.RepresentationTheory.Continuous.Basic

Cited by

20 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidRingAddCommGroupTopologicalSpaceIsTopologicalAddGroupModuleMonoid