The fibre functor is complex-linear #
The fibre functor is built by whiskering with the algebra and
composing, and both operations are complex-linear, so the functor
is. This is the last field of RS.DeligneFibreFunctor that the
fibre construction does not supply on its own.
instance
RS.fibreFun_linear
{D : Type u}
[CategoryTheory.Category.{v, u} D]
[CategoryTheory.MonoidalCategory D]
[CategoryTheory.SymmetricCategory D]
[CategoryTheory.Preadditive D]
[CategoryTheory.MonoidalPreadditive D]
[CategoryTheory.Linear ℂ D]
[CategoryTheory.MonoidalLinear ℂ D]
(L : OddLine D)
(R : D)
[CategoryTheory.MonObj R]
[CategoryTheory.IsCommMonObj R]
:
The fibre functor is complex-linear.