  A diverse collection of fusion categories may be realized by the
representation theory of quantum groups. There is substantial literature where
one will find detailed constructions of quantum groups, and proofs of the
representation-theoretic properties these algebras possess. Here we will forego
technical intricacy as a growing number of researchers study fusion categories
disjoint from Lie theory, representation theory, and a laundry list of other
obstacles to understanding the mostly combinatorial, geometric, and numerical
descriptions of the examples of fusion categories arising from quantum groups.
This expository piece aims to create a self-contained guide for researchers to
study from a computational standpoint with only the prerequisite knowledge of
fusion categories.
