We give the {\it spectral decomposition} of the path space of the$U_q(\hatsl)$ vertex model with respect to the local energy functions. Theresult suggests the hidden Yangian module structure on the $\hatsl$ level $l$integrable modules, which is consistent with the earlier work [1] in the levelone case. Also we prove the fermionic character formula of the $\hatsl$ level$l$ integrable representations in consequence.
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机译：我们给出$ U_q（\ hatsl）$顶点模型相对于局部能量函数的路径空间的{\ it频谱分解}。结果表明，在$ \ hatsl $级别$ l $ integrable模块上隐藏了Yangian模块结构，这与levelone案例中的早期工作[1]一致。同样，我们证明了$ \ hatsl $级别$ l $可积表示的费米离子特征公式。
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