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}
}
  • Rui-bin Zhang
  • Published 7 February 1994
  • Mathematics
  • Journal of Physics A
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… 
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