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TMF, 2021, Volume 208, Number 2, Pages 310–341 (Mi tmf10082)  

$\ell$-weights and factorization of transfer operators

A. V. Razumov

Institute for High Energy Physics, National Research Center "Kurchatov Institute", Protvino, Moscow Region, Russia

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 factorization relations for the transfer operators of the associated quantum integrable systems.

Keywords: quantum groups, quantum integrable systems, transfer operators.

Funding Agency Grant Number
Russian Foundation for Basic Research 20-51-12005
This work was supported in part by the RFBR grant no. 20-51-12005.


DOI: https://doi.org/10.4213/tmf10082

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English version:
Theoretical and Mathematical Physics, 2021, 208:2, 1116–1143

Bibliographic databases:

PACS: 02.20.Uw, 02.30.Uk
MSC: 17B37, 17B10, 20C35
Received: 26.02.2021
Revised: 26.02.2021

Citation: A. V. Razumov, “$\ell$-weights and factorization of transfer operators”, TMF, 208:2 (2021), 310–341; Theoret. and Math. Phys., 208:2 (2021), 1116–1143

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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