Theorems · Theorem · group theory

Representation.Equiv.dualTensorHom_invFun

∀ {G : Type u_6} {k : Type u_7} {V : Type u_8} {W : Type u_9} [inst : Group G] [inst_1 : Field k]
  [inst_2 : AddCommGroup V] [inst_3 : Module k V] [inst_4 : AddCommGroup W] [inst_5 : Module k W]
  [inst_6 : FiniteDimensional k V] (ρ : Representation k G V) (σ : Representation k G W) (a : V →ₗ[k] W),
  (Representation.Equiv.dualTensorHom ρ σ).invFun a = (LinearEquiv.ofBijective (dualTensorHom k V W) ⋯).symm a

Defined in

Mathlib.RepresentationTheory.Intertwining

Cited by

0 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupFieldAddCommGroupModuleAddCommGroupModuleFiniteDimensional