. Q A ] 1 7 M ay 2 00 1 THE BETHE EQUATION AT q = 0 , THE MÖBIUS INVERSION FORMULA , AND WEIGHT MULTIPLICITIES : III
نویسنده
چکیده
It is shown that the numbers of off-diagonal solutions to the Uq(X (r) N ) Bethe equation at q = 0 coincide with the coefficients in the recently introduced canonical power series solution of the Q-system. Conjecturally the canonical solutions are characters of the KR (Kirillov-Reshetikhin) modules. This implies that the numbers of off-diagonal solutions agree with the weight multiplicities, which is interpreted as a formal completeness of the Uq(X (r) N ) Bethe ansatz at q = 0.
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