## 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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