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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.

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
Full Text: DOI arXiv
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