Two-parameter quantum deformation of \(\text{GL}(1| 1)\). (English) Zbl 1176.17010
Summary: The two-parameter quantum deformation of the algebra of functions on the supergroup \(\text{GL}(1| 1)\) and of the universal enveloping algebra \(U\text{gl}(1| 1)\) is presented.
MSC:
17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
17A70 | Superalgebras |
81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |