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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 2, Pages 310–341
DOI: https://doi.org/10.4213/tmf10082 (Mi tmf10082) 		 
This article is cited in 2 scientific papers (total in 2 papers)

ℓℓ-weights and factorization of transfer operators

A. V. Razumov

Institute for High Energy Physics, National Research Center "Kurchatov Institute", Protvino, Moscow Region, Russia
Full-text PDF (681 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf10082
Abstract: We analyze the ℓℓ-weights of the evaluation and qq-oscillator representations of the quantum loop algebras Uq(L(sll+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.
Received: 26.02.2021
Revised: 26.02.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 2, Pages 1116–1143
DOI: https://doi.org/10.1134/S0040577921080092
Bibliographic databases:
Document Type: Article
PACS: 02.20.Uw, 02.30.Uk
MSC: 17B37, 17B10, 20C35
Language: Russian
Citation: A. V. Razumov, “ℓ-weights and factorization of transfer operators”, TMF, 208:2 (2021), 310–341; Theoret. and Math. Phys., 208:2 (2021), 1116–1143
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf10082
  • https://doi.org/10.4213/tmf10082
  • https://www.mathnet.ru/eng/tmf/v208/i2/p310
    • This publication is cited in the following 2 articles:
    1. A. V. Razumov, “Khoroshkin–Tolstoy approach to quantum superalgebras”, Theoret. and Math. Phys., 215:1 (2023), 560–585  mathnet  crossref  crossref  mathscinet  adsnasa
    2. A. V. Razumov, “On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra”, Theoret. and Math. Phys., 217:3 (2023), 1938–1953  mathnet  crossref  crossref  mathscinet  adsnasa
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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