Restriction of Deligne packages #
A Deligne fibre-functor package restricts along any braided monoidal, additive, ℂ-linear functor: compose the fibre functor with the embedding.
noncomputable def
RS.DelignePackage.restrict
{A : Type u_1}
[CategoryTheory.Category.{u_3, u_1} A]
[CategoryTheory.MonoidalCategory A]
[CategoryTheory.SymmetricCategory A]
[CategoryTheory.Preadditive A]
[CategoryTheory.Linear ℂ A]
{B : Type u_2}
[CategoryTheory.Category.{u_4, u_2} B]
[CategoryTheory.MonoidalCategory B]
[CategoryTheory.SymmetricCategory B]
[CategoryTheory.Preadditive B]
[CategoryTheory.Linear ℂ B]
(F : CategoryTheory.Functor B A)
[F.Braided]
[F.Additive]
[CategoryTheory.Functor.Linear ℂ F]
(P : DelignePackage A)
:
Restrict a Deligne package along a braided linear functor.
Equations
- RS.DelignePackage.restrict F P = { ω := F.comp P.ω, braided := inferInstance, additive := ⋯, linear := ⋯ }