# A two-parameter quantization of sl(2/1) and its finite-dimensional representations

@article{Zhang1994ATQ, title={A two-parameter quantization of sl(2/1) and its finite-dimensional representations}, author={Rui-bin Zhang}, journal={Journal of Physics A}, year={1994}, volume={27}, pages={817-829} }

The Lie superalgebra sl(2/1) is quantized in its non-standard simple rod system, resulting in a two-parameter quantum superalgebra Uq1,q2(sl(2/1)). When the two parameters coincide, Uq1,q2(sl(2/1)) reduces to a one-parameter dependent Z2-graded Hopf algebra, which is algebraically equivalent, but coalgebraically inequivalent, to the standard Uq(sl(2/1)). The finite-dimensional irreducible representations of this two-parameter quantum superalgebra are explicitly constructed when both or one of…

## 7 Citations

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The two-parametric quantum superalgebra Up,q[gl(2/2)] and its representations are considered. All finite-dimensional irreducible representations of this quantum superalgebra can be constructed and…

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Quantum groups at the roots of unity have the property that their centre is enlarged. Polynomial equations relate the standard deformed Casimir operators and the new central elements. These relations…

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