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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 004, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.004 (Mi sigma130) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group

Nenad Manojlović, Zoltán Nagy

Departamento de Matemática, FCT, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal
Full-text PDF (215 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2007.004
Abstract: Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the $E_{\tau,\eta}(so_3)$ elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of $E_{\tau,\eta}(so_3)$.
Keywords: elliptic quantum group; algebraic Bethe ansatz.
Received: October 31, 2006; in final form December 28, 2006; Published online January 5, 2007
Bibliographic databases:
Document Type: Article
MSC: 82B23; 81R12; 81R50
Language: English
Citation: Nenad Manojlović, Zoltán Nagy, “Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group”, SIGMA, 3 (2007), 004, 10 pp.
Citation in format AMSBIB
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\by Nenad Manojlovi{\'c}, Zolt\'an Nagy
\paper Construction of the Bethe State for the $\mathrm E_{\tau,\eta}(so_3)$ Elliptic Quantum Group
\jour SIGMA
\yr 2007
\vol 3
\papernumber 004
\totalpages 10
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889236631}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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