Introduction#

The defining field $k$ is the base field over which the $\text{Hom}$ -sets of the fusion category $\mathcal{C}$ are vector spaces, and the tensor product is $k$ -linear.

One often seeks the smallest such field extension $K$ .

Introduction#

The defining field

k

is the base field over which the

\text{Hom}

-sets of the fusion category

\mathcal{C}

are vector spaces, and the tensor product is

k

-linear.

One often seeks the smallest such field extension

K

Number Fields on Fusion Categories

Introduction#

Number Fields on Fusion Categories

Number Fields on Fusion Categories

Introduction#