  Motivated by the recent development on the exact thermodynamics of 1D quantum
systems, we propose quasi-particle like formulas for
$\hat{\mathfrak{sl}(n)}_{k=1}$ characters. The $\hat{\mathfrak{sl}(2)}_{k=1}$
case is re-examined first. The novel formulation yields a direct connection to
the fractional statistics in the short range interacting model, and provides a
clear description of the spinon character formula. Generalizing the
observation, we find formulas for $\hat{\mathfrak{sl}(n)}_{k=1}$, which can be
proved by the Durfee rectangle formula.
