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Diagonal \(K\)-matrices and transfer matrix eigenspectra associated with the \(G^{(1)}_2\) \(R\)-matrix. (English) Zbl 1020.81635

MSC:
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
17B37 Quantum groups (quantized enveloping algebras) and related deformations
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
82B23 Exactly solvable models; Bethe ansatz
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