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The quantum bialgebra associated with the eight-vertex \(R\)-matrix. (English) Zbl 0774.17024
Summary: The quantum bialgebra related to the Baxter’s eight-vertex \(R\)-matrix is found as a quantum deformation of the Lie algebra of \(\text{sl}(2)\)- valued automorphic functions on a complex torus.

MSC:
17B37 Quantum groups (quantized enveloping algebras) and related deformations
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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