@article{oai:nagoya.repo.nii.ac.jp:00008316, author = {KUNIBA, ATSUO and NAKANISHI, TOMOKI}, issue = {2}, journal = {Journal of Algebra}, month = {}, note = {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 Uq(X (1) n ) Bethe equation at q = 0. The series are conjectured to be the Xn-characters of a certain family of irreducible finite-dimensional Uq(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.}, pages = {577--618}, title = {Bethe Equation at q=0, Moebius Inversion Formula, and Weight Multiplicities: II. X_n case}, volume = {251}, year = {2002} }