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Moscow Mathematical Journal, 2003, Volume 3, Number 4, Pages 1247–1267
DOI: https://doi.org/10.17323/1609-4514-2003-3-4-1247-1267 (Mi mmj130) 		 
A construction of level 1 irreducible modules for $U_q(\widehat{\mathfrak{sp}}_4)$ using level 2 intertwiners for $U_q(\widehat{\mathfrak{sl}}_2)$

B. L. Feigina, J. Hongb, T. Miwac

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Korea Institute for Advanced Study
c Kyoto University
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DOI: https://doi.org/10.17323/1609-4514-2003-3-4-1247-1267
Abstract: We bosonize certain components of level $l$ $U_q(\widehat{\mathfrak{sl}}_2)$-intertwiners of $(l+1)$-dimensions. For $l=2$, these intertwiners, after certain modification by bosonic vertex operators, are added to the algebra $U_q(\widehat{\mathfrak{sl}}_2)$ at level 2 to construct all irreducible highest weight representations of level 1 for the quantum affine algebra $U_q(\widehat{\mathfrak{sp}}_4)$.
Key words and phrases: Quantized enveloping algebra, $\widehat{\mathfrak{sp}}_4$, irreducible representation, extended vertex operator.
Received: January 21, 2002
Bibliographic databases:
MSC: Primary 17B37; Secondary 17B69
Language: English
Citation: B. L. Feigin, J. Hong, T. Miwa, “A construction of level 1 irreducible modules for $U_q(\widehat{\mathfrak{sp}}_4)$ using level 2 intertwiners for $U_q(\widehat{\mathfrak{sl}}_2)$”, Mosc. Math. J., 3:4 (2003), 1247–1267
Citation in format AMSBIB
\Bibitem{FeiHonMiw03}
\by B.~L.~Feigin, J.~Hong, T.~Miwa
\paper A~construction of level~1 irreducible modules for $U_q(\widehat{\mathfrak{sp}}_4)$ using level~2 intertwiners for $U_q(\widehat{\mathfrak{sl}}_2)$
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 4
\pages 1247--1267
\mathnet{http://mi.mathnet.ru/mmj130}
\crossref{https://doi.org/10.17323/1609-4514-2003-3-4-1247-1267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2058798}
\zmath{https://zbmath.org/?q=an:1115.17007|02234834}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594400003}
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