  The first author constructed a $q$-parameterized spherical category $\sC$
over $\mathbb{C}(q)$ in [Liu15], whose simple objects are labelled by all Young
diagrams. In this paper, we compute closed-form expressions for the fusion rule
of $\sC$, using Littlewood-Richardson coefficients, as well as the characters
(including a generating function), using symmetric functions with infinite
variables.
