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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
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