Theorems · Theorem · group theory
Rep.tensorHomEquiv_symm_apply
∀ {k : Type u} [inst : CommRing k] {G : Type v} [inst_1 : Group G] (A B C : Rep.{u, u, v} k G) (f : B ⟶ A.ihom.obj C),
(A.tensorHomEquiv B C).symm f =
Rep.ofHom
{ toLinearMap := (TensorProduct.uncurry (RingHom.id k) ↑A ↑B ↑C) (Rep.Hom.hom f).flip, isIntertwining' := ⋯ }- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- Equiv.symmstatement and proof · cited by 3,681
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- TensorProductstatement · cited by 2,545
- Repstatement and proof · cited by 843
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