Bethe Equation at q=0, M\"obius Inversion Formula, and Weight Multiplicities: I. sl(2) case
Quantum Algebra
2007-05-23 v2 Statistical Mechanics
Exactly Solvable and Integrable Systems
solv-int
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.
Cite
@article{arxiv.math/9909056,
title = {Bethe Equation at q=0, M\"obius Inversion Formula, and Weight Multiplicities: I. sl(2) case},
author = {Atsuo Kuniba and Tomoki Nakanishi},
journal= {arXiv preprint arXiv:math/9909056},
year = {2007}
}
Comments
latex2e, 35pages, no figure