Abstract

Дан анализ $\ell$-весов представлений вычисления и $q$-осцилляторных представлений алгебр петель $\mathrm U_q(\mathcal L(\mathfrak{sl}_{l+1}))$ для $l=1$ и $l=2$, доказаны соотношения факторизации для трансфер-операторов соответствующих квантовых интегрируемых систем.

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