Spectral decomposition of path space in solvable lattice model

We give the spectral decomposition of the path space of the <U-q((sl)over cap (2))> vertex model with respect to the local energy functions. The result suggests the hidden Yangian module structure on the <(sl)over cap (2)> level l integrable modules, which is consistent with the earlier work [1] in the level one case. Also we prove the fermionic character formula of the <(sl)over cap (2)> level l integrable representations in consequence.