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Construction of the bethe state for the E-tau,E-eta(so(3)) elliptic quantum group
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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,E-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,E-eta(so(3)).
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Natl Acad Sci Ukraine, Inst Math