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Construction of the Bethe state for the \(E_{\tau,\eta}(\mathrm{SO}_3)\) elliptic quantum group - MaRDI portal

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Construction of the Bethe state for the \(E_{\tau,\eta}(\mathrm{SO}_3)\) elliptic quantum group

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Publication:2473392

DOI10.3842/SIGMA.2007.004zbMATH Open1140.82014arXivmath/0612086OpenAlexW1739628702MaRDI QIDQ2473392

Author name not available (Why is that?)

Publication date: 27 February 2008

Published in: (Search for Journal in Brave)

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 Eau,eta(so3) 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 Eau,eta(so3).


Full work available at URL: https://arxiv.org/abs/math/0612086

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