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Quantum Heisenberg group and reflection equations. I. (Russian. English summary) Zbl 0848.17006

Summary: The quantum group of upper triangular matrices and the Hopf algebra associated with the reflection equations are constructed with \(R\)-matrix for the quantum Heisenberg group.

MSC:

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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