q=0时的Bethe方程、Moebius反演公式和权重倍数：II。X_n情况
Bethe Equation at q=0, Moebius Inversion Formula, and Weight Multiplicities: II. X_n case
摘要：
研究一类由具有某种收敛性质的递归关系系统（Q-系统）刻画的幂级数。我们证明了级数的系数是用形式上计数U_q（X^{（1）}_n）Bethe方程在q=0时的非对角解的个数来表示的.证明了该级数是一类不可约有限维U_q（X^{（1）}_n）-模的X_n-特征标，我们称之为KR（Kirillov-Reshetikhin）模。在上述猜想下，这些系数给出了KR模的张量积的权重数的一个公式，并将其解释为XXZ型Bethe向量的形式完备性.
英文摘要：
We study a family of power series characterized by a system of recursion relations (Q-system) with a certain convergence property. We show that the coefficients of the series are expressed by the numbers which formally count the off-diagonal solutions of the U_q(X^{(1)}_n) Bethe equation at q=0. The series are conjectured to be the X_n-character of a certain family of irreducible finite-dimensional U_q(X^{(1)}_n) -modules which we call the KR (Kirillov-Reshetikhin) modules. Under the above conjecture, these coefficients give a formula of the weight multiplicities of the tensor products of the KR modules, which is also interpreted as the formal completeness of the XXZ-type Bethe vectors.
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