Theorems · Definition · group theory
Rep.homLinearEquiv
{k : Type u} →
{G : Type v} →
[inst : CommRing k] → [inst_1 : Monoid G] → (X Y : Rep.{u_1, u, v} k G) → (X ⟶ Y) ≃ₗ[k] X.ρ.IntertwiningMap Y.ρThe equivalence between IntertwiningMaps and morphism between X Y : Rep k G is linear.
- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Equivproof · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- LinearEquivstatement · cited by 3,317
- Repstatement and proof · cited by 843
- Rep.Vstatement · cited by 695
- Rep.ρstatement and proof · cited by 356
- Equiv.toFunproof · cited by 279
- Representation.IntertwiningMapstatement and proof · cited by 261
- Equiv.invFunproof · cited by 163
Cited by2
Results whose statement or proof uses this declaration.
- Rep.leftRegularHomEquivproof · cited by 2
- Rep.freeLiftLEquivproof · cited by 2