2021-09-28T14:44:26Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000083142021-03-01T19:58:32ZThe Bethe Equation at q=0, The Mobius Inversion Formula, and Weight Multiplicities: III. The X^{(r)}_N caseKUNIBA, ATSUO23417NAKANISHI, TOMOKI23418TSUBOI, ZENGO23419It is shown that the numbers of off-diagonal solutions to the Uq(X(r)N ) Bethe\nequation at q = 0 coincide with the coefficients in the recently introduced canonical power\nseries solution of the Q-system. Conjecturally the canonical solutions are characters of\nthe 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.journal articleSpringer Verlag2002application/pdfLetters in Mathematical Physics59155190http://hdl.handle.net/2237/100540377-9017https://nagoya.repo.nii.ac.jp/record/8314/files/3.pdfeng