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Theorems · Theorem · group theory

Rep.hom_whiskerLeft

∀ {k : Type u} {G : Type v} [inst : CommRing k] [inst_1 : Monoid G] {X Y₁ Y₂ : Rep.{u, u, v} k G} (f : Y₁ ⟶ Y₂),
  Rep.Hom.hom (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X f) =
    Representation.IntertwiningMap.lTensor X.ρ (Rep.Hom.hom f)
Defined in
Mathlib.RepresentationTheory.Rep.Basic
Cited by
0 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Quot.sound
Assumes
CommRingMonoid
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Around this declaration

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Quiver.Hom · cited by 32603Quiver.HomCommRing · cited by 17173CommRingMonoid · cited by 3887MonoidCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategoryStruct.whiskerLeft · cited by 915MonoidalCategoryStruct.wh…Rep · cited by 843RepRep.V · cited by 695Rep.VRep.ρ · cited by 356Rep.ρRepresentation.IntertwiningMap · cited by 261Representation.Intertwini…Rep.Hom.hom · cited by 190Hom.homRepresentation.IntertwiningMap.lTensor · cited by 18IntertwiningMap.lTensorRep.hom_whiskerLeftCITED BYCITES

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