Abstract
The \({{U}_{q}}(\widehat{{\mathfrak{s}\mathfrak{l}}}(2))\) 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.
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Kuniba, A., Nakanishi, T. (2000). The Bethe Equation at q = 0, the Möbius Inversion Formula, and Weight Multiplicities I: The sl (2) Case. In: Kashiwara, M., Miwa, T. (eds) Physical Combinatorics. Progress in Mathematics, vol 191. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1378-9_6
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DOI: https://doi.org/10.1007/978-1-4612-1378-9_6
Publisher Name: Birkhäuser, Boston, MA
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