Kirillov and Reshetikhin  have attached to [delta] an infinite system of algebraic equations called a Q-system, with unknowns [Q.
The l-restricted Q-system has a finite number of unknowns
1 Let us write the 2-restricted Q-system in type E6 (see Figure 1 for the node numbering of the Dynkin diagram).
Kuniba, Nakanishi and Suzuki  have given a conjectural description of the positive solution of an l-restricted Q-system in terms of quantum dimensions of Kirillov-Reshetikhin modules over the quantum affine algebra attached to [delta], which we now recall.
On the other hand, the 2-restricted Q-system in type [A.
k]) (i [member of] I, k [member of] N) give a solution of the unrestricted Q-system (1) (2) in the ring Z[P].
To get around these difficulties, we first check the KNS conjecture at the extremal nodes, and then move to the remaining nodes using the Q-system.
It is easy to deduce from the Q-system that the non-negativity of [Q.
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