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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 174, Number 1, Pages 25–45
DOI: https://doi.org/10.4213/tmf8352 (Mi tmf8352) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Universal integrability objects

H. Boosa, F. Gohmanna, A. Klümpera, Kh. Nirovba, A. V. Razumovcd

a University of Wuppertal
b Institute for Nuclear Research, RAS, Moscow, Russia
c Max-Planck-Institut für Mathematik, Bonn, Germany
d Institute for High Energy Physics, Protvino, Moscow Oblast, Russia
Full-text PDF (589 kB) Citations (23)
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DOI: https://doi.org/10.4213/tmf8352
Abstract: We discuss the main points of the quantum group approach in the theory of quantum integrable systems and illustrate them for the case of the quantum group $U_q(\mathcal L(\mathfrak{sl}_2))$. We give a complete set of the functional relations correcting inexactitudes in the previous considerations. We especially attend to the interrelation of the representations used to construct the universal transfer operators and $Q$-operators.
Keywords: integrable system, quantum group, representation, functional relation.
English version:
Theoretical and Mathematical Physics, 2013, Volume 174, Issue 1, Pages 21–39
DOI: https://doi.org/10.1007/s11232-013-0002-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: H. Boos, F. Gohmann, A. Klümper, Kh. Nirov, A. V. Razumov, “Universal integrability objects”, TMF, 174:1 (2013), 25–45; Theoret. and Math. Phys., 174:1 (2013), 21–39
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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