Quantum dimension
= Quantum dimension
{title2=$\dim_q(V)=\operatorname{tr}_q(1_V)$}
Closing an identity strand using compatible <evaluation morphisms> and <coevaluation morphisms> gives the categorical dimension in a pivotal or ribbon setting. For the standard two-dimensional <quantum enveloping algebra of sl2> <module>, the weighted contraction has diagonal coefficients $q^{-1},q$, giving <quantum dimension> $q+q^{-1}=[2]_q$. The chosen duality and framing conventions matter.