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Construction of the Bethe State for the Eτ,η(so3) Elliptic Quantum Group

Nenad Manojlovic, Zoltan Nagy

math.QAarXiv:math/0612086

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 Eτ,η(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 Eτ,η(so3).

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