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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 2, Pages 179–214
DOI: https://doi.org/10.4213/tmf633
(Mi tmf633)
 

This article is cited in 12 scientific papers (total in 12 papers)

Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $

J. Dinga, S. Z. Pakulyakbc, S. M. Khoroshkinb

a University of Cincinnati, Department of Mathematical Sciences
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
c Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
References:
Abstract: The factorization of the universal $\mathcal R$-matrix corresponding to the so-called Drinfeld Hopf structure is described in the example of the quantum affine algebra $U_q(\widehat{sl}_2)$. As a result of the factorization procedure, we deduce certain differential equations on the factors of the universal $\mathcal R$-matrix that allow uniquely constructing these factors in the integral form.
Received: 30.03.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 2, Pages 1007–1037
DOI: https://doi.org/10.1007/BF02551074
Bibliographic databases:
Language: Russian
Citation: J. Ding, S. Z. Pakulyak, S. M. Khoroshkin, “Factorization of the universal $\mathcal R $-matrix for ${U_q(\widehat{sl}_2)} $”, TMF, 124:2 (2000), 179–214; Theoret. and Math. Phys., 124:2 (2000), 1007–1037
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 124
\issue 2
\pages 1007--1037
\crossref{https://doi.org/10.1007/BF02551074}
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Linking options:
  • https://www.mathnet.ru/eng/tmf633
  • https://doi.org/10.4213/tmf633
  • https://www.mathnet.ru/eng/tmf/v124/i2/p179
  • This publication is cited in the following 12 articles:
    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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    References:68
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