Trivial Sector: Trivial
Trivial is the trivial sector for ordinary vector spaces. It is the trivial representation of the trivial group, equivalently Rep[ℤ₁].
Sector type
TensorKitSectors.Trivial — Type
struct Trivial <: Sector
Trivial()Singleton type to represent the trivial sector, i.e. the trivial representation of the trivial group. This is equivalent to Rep[ℤ₁], or the unit object of the category Vect of ordinary vector spaces.
There is only one label:
using TensorKitSectors
Trivial()Fusion Rules
Fusion is uniquely trivial:
\[1 \otimes 1 = 1.\]
Therefore FusionStyle(Trivial) = UniqueFusion() and Nsymbol(Trivial(), Trivial(), Trivial()) == true.
Topological Data
The quantum dimension is 1. fusiontensor is a 1 × 1 × 1 × 1 array containing 1. The associator and braiding are both trivial:
\[F = 1,\qquad R = 1.\]
The braiding style is Bosonic().