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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 1, Pages 3–34
DOI: https://doi.org/10.4213/tmf1879
(Mi tmf1879)
 

This article is cited in 22 scientific papers (total in 22 papers)

Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$

S. Z. Pakuliakabc, S. M. Khoroshkinab

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Max Planck Institute for Mathematics
c Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
References:
Abstract: We give a precise expression for the universal weight function of the quantum affine algebra $U_{q}(\widehat{\frak{sl}}_3)$. The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.
Keywords: quantum affine algebra, current realization, nested Bethe ansatz, weight function, biorthogonal decompositions of Borel current subalgebras, projections on intersections of different Borel subalgebras.
Received: 17.02.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 1, Pages 1373–1399
DOI: https://doi.org/10.1007/s11232-005-0167-x
Bibliographic databases:
Language: Russian
Citation: S. Z. Pakuliak, S. M. Khoroshkin, “Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$”, TMF, 145:1 (2005), 3–34; Theoret. and Math. Phys., 145:1 (2005), 1373–1399
Citation in format AMSBIB
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\paper Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$
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\elib{https://elibrary.ru/item.asp?id=9155041}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 145
\issue 1
\pages 1373--1399
\crossref{https://doi.org/10.1007/s11232-005-0167-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000233342500001}
Linking options:
  • https://www.mathnet.ru/eng/tmf1879
  • https://doi.org/10.4213/tmf1879
  • https://www.mathnet.ru/eng/tmf/v145/i1/p3
  • This publication is cited in the following 22 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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