Theorems · Theorem · group theory
Rep.ihom_map
∀ {k : Type u} [inst : CommRing k] {G : Type v} [inst_1 : Group G] (A : Rep.{w, u, v} k G) {X Y : Rep.{u_1, u, v} k G}
(f : X ⟶ Y),
A.ihom.map f =
Rep.ofHom { toLinearMap := (LinearMap.llcomp k ↑A ↑X ↑Y) (Rep.Hom.hom f).toLinearMap, isIntertwining' := ⋯ }- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Groupstatement and proof · cited by 6,238
- Repstatement and proof · cited by 843
- Rep.Vstatement · cited by 695
- Rep.ρstatement · cited by 356
- Representation.IntertwiningMap.toLinearMapstatement · cited by 205
- Rep.Hom.homstatement · cited by 190
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