Geodesic
$\ell$-weights and factorization of transfer operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 310-341

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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 factorization relations for the transfer operators of the associated quantum integrable systems.
Keywords: quantum groups, quantum integrable systems, transfer operators. 
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     author = {A. V. Razumov},
     title = {$\ell$-weights and factorization of transfer operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {310--341},
     publisher = {mathdoc},
     volume = {208},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a8/}
}
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A. V. Razumov. $\ell$-weights and factorization of transfer operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 310-341. http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a8/