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arXiv · 2103.16200

$\ell$-weights and factorization of transfer operators

A. V. Razumov
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Abstract

We analyze the $\ell$--weights of the evaluation and $q$-oscillator representations of the quantum loop algebras $\mathrm U_q(\mathcal L(\mathfrak{sl}_{\, l + 1}))$ for $l = 1$ and $l = 2$ and prove the factorization relations for the transfer operators of the associated quantum integrable systems.

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BibTeXRIS

A. V. Razumov. 2021-03-30. $\ell$-weights and factorization of transfer operators. https://doi.org/10.1134/s0040577921080092

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