Quantum superalgebra \(U_q\mathrm{osp}(2,2)\). (English) Zbl 1332.17015
Summary: We construct the quantum universal enveloping algebra \(U_q\mathrm{osp}(2,2)\) and obtain the universal \(R\)-matrix for the algebra. The matrix elements of the \(R\)-matrix are explicitly calculated for the fundamental representation. This gives a new solvable model (36-vertex model) associated with the algebra.
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 16T05 | Hopf algebras and their applications |
| 82B23 | Exactly solvable models; Bethe ansatz |
References:
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