2021-09-24T10:06:46Zhttps://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, ATSUONAKANISHI, TOMOKITSUBOI, ZENGOIt 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.Springer Verlag2002engjournal articlehttp://hdl.handle.net/2237/10054https://nagoya.repo.nii.ac.jp/records/83140377-9017Letters in Mathematical Physics59155190https://nagoya.repo.nii.ac.jp/record/8314/files/3.pdfapplication/pdf209.6 kB2018-02-19