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Moscow Mathematical Journal, 2001, Volume 1, Number 2, Pages 145–156
DOI: https://doi.org/10.17323/1609-4514-2001-1-2-145-156
(Mi mmj16)
 

This article is cited in 2 scientific papers (total in 2 papers)

Truncation of functional relations in the XXZ model

A. A. Belavin, S. Yu. Gubanov, B. L. Feigin

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF Citations (2)
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Abstract: The integrable XXZ model with a special open boundary condition is considered. We study the Sklyanin transfer matrices after the quantum group reduction at roots of unity. In this case, the Sklyanin transfer matrices satisfy a closed system of truncated functional equations. The algebraic reason for the truncation is found. An important role in the proof of the result is played by the Zamolodchikov algebra introduced in the paper.
Key words and phrases: Quantum groups, quantum algebras, representation theory, integrable XXZ model.
Received: February 6, 2001; in revised form May 3, 2001
Bibliographic databases:
MSC: 81R12
Language: English
Citation: A. A. Belavin, S. Yu. Gubanov, B. L. Feigin, “Truncation of functional relations in the XXZ model”, Mosc. Math. J., 1:2 (2001), 145–156
Citation in format AMSBIB
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\by A.~A.~Belavin, S.~Yu.~Gubanov, B.~L.~Feigin
\paper Truncation of functional relations in the {\it XXZ\/} model
\jour Mosc. Math.~J.
\yr 2001
\vol 1
\issue 2
\pages 145--156
\mathnet{http://mi.mathnet.ru/mmj16}
\crossref{https://doi.org/10.17323/1609-4514-2001-1-2-145-156}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1878275}
\zmath{https://zbmath.org/?q=an:1038.82011}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208587400001}
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