Theorems · Definition · group theory

Representation.IntertwiningMap.lTensor

{A : Type u_1} →
  {G : Type u_2} →
    {V : Type u_3} →
      {W : Type u_4} →
        {U : Type u_5} →
          [inst : CommSemiring A] →
            [inst_1 : Monoid G] →
              [inst_2 : AddCommMonoid V] →
                [inst_3 : AddCommMonoid W] →
                  [inst_4 : AddCommMonoid U] →
                    [inst_5 : Module A V] →
                      [inst_6 : Module A W] →
                        [inst_7 : Module A U] →
                          (ρ : Representation A G V) →
                            {σ : Representation A G W} →
                              {τ : Representation A G U} → σ.IntertwiningMap τ → (ρ.tprod σ).IntertwiningMap (ρ.tprod τ)

The intertwining map induced from f : σ → τ to ρ.tprod σ → ρ.tprod τ.

Defined in

Mathlib.RepresentationTheory.Intertwining

Cited by

18 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModule