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

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The 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 figure

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Quantum Algebra, Statistical Mechanics, Exactly Solvable and Integrable Systems, 81R50(Primary) 81R10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/79085

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9909056
 http://arxiv.org/abs/math/9909056
 Prog. Math. Phys. 191 "Physical Combinatorics" (2000) 185--216

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arXiv