Bethe Equation at q=0, Möbius Inversion Formula, and Weight Multiplicities: I. sl(2) case

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79085The U_q(\hat{sl}(2)) Bethe equation is studied at q=0. A linear congruence equation is proposed related to the string solutions. The number of its off-diagonal solutions is expressed in terms of an explicit combinatorial formula and coincides with the weight multiplicities of the quantum space.latex2e, 35pages, no figureQuantum AlgebraStatistical MechanicsExactly Solvable and Integrable Systems81R50(Primary) 81R10 (Secondary)Bethe Equation at q=0, Möbius Inversion Formula, and Weight Multiplicities: I. sl(2) casetext