Two-parametric deformation $U_{p,q}[gl(2/1)]$ and its induced representations

Details Two-parametric deformation $U_{p,q}[gl(2/1)]$ and its induced representations Two-parametric deformation $U_{p,q}[gl(2/1)]$ and its induced representations

1999-09-14

arxiv.org/abs/math/9909067v1

J.Phys.A29:1541,1996

Mathematics

Quantum Algebra

Latex, 13 pages, no figure

Scientific paper

10.1088/0305-4470/29/7/022

The two-parametric quantum superalgebra $U_{p,q}[gl(2/1)]$ is consistently defined. A construction procedure for induced representations of $U_{p,q}[gl(2/1)]$ is described and allows us to construct explicitly all (typical and nontypical) finite-dimensional representations of this quantum superalgebra. In spite of some specific features, the present approach is similar to a previously developed method [1] which, as shown here, is applicable not only to the one-parametric quantum deformations but also to the multi-parametric ones.

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