Theorems · Theorem · group theory

Representation.finsuppTensorLeft_symm_apply_single

∀ {G : Type v} [inst : Monoid G] {V : Type v'} [inst_1 : AddCommMonoid V] {W : Type w'} [inst_2 : AddCommMonoid W]
  {k : Type u} [inst_3 : CommSemiring k] [inst_4 : Module k V] [inst_5 : Module k W] (σ : Representation k G V)
  (ρ : Representation k G W) {α : Type w'} [inst_6 : DecidableEq α] (i : α) (v : V) (w : W),
  ((σ.finsuppTensorLeft ρ α).symm fun₀ | i => v ⊗ₜ[k] w) = (fun₀ | i => v) ⊗ₜ[k] w

Defined in

Mathlib.RepresentationTheory.Equiv

Cited by

0 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidAddCommMonoidAddCommMonoidCommSemiringModuleModuleDecidableEq