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

Nguyen Anh Ky
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Abstract

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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BibTeXRIS

Nguyen Anh Ky. 1999-09-14. Two-parametric deformation $U_{p,q}[gl(2/1)]$ and its induced representations. https://doi.org/10.1088/0305-4470/29/7/022

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