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

Atsuo Kuniba·Tomoki Nakanishi
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Abstract

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.

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Atsuo Kuniba, Tomoki Nakanishi. 1999-11-19. Bethe Equation at q=0, Möbius Inversion Formula, and Weight Multiplicities: I. sl(2) case. https://arxiv.org/abs/math/9909056

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