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

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

1999-09-10

arxiv.org/abs/math/9909056v2

Prog. Math. Phys. 191 "Physical Combinatorics" (2000) 185--216

Mathematics

Quantum Algebra

latex2e, 35pages, no figure

Scientific paper

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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