Finite-Dimensional Representations of the Quantum Superalgebra U$_{q}$[gl(2/2)]: I. Typical representations at generic $q$

Details Finite-Dimensional Representations of the Quantum Superalgebra U$_{q}$[gl(2/2)]: I. Typical representations at generic $q$ Finite-Dimensional Representations of the Quantum Superalgebra U$_{q}$[gl(2/2)]: I. Typical representations at generic $q$

1993-05-31

arxiv.org/abs/hep-th/9305183v2

J.Math.Phys. 35 (1994) 2583-2606

Physics

High Energy Physics

High Energy Physics - Theory

published version. Some formulae are rewritten in more compact form

Scientific paper

10.1063/1.530525

In the present paper we construct all typical finite-dimensional representations of the quantum Lie superalgebra $U_{q}[gl(2/2)]$ at generic deformation parameter $q$. As in the non-deformed case the finite-dimensional $U_{q}[gl(2/2)]$-module $W^{q}$ obtained is irreducible and can be decomposed into finite-dimensional irreducible $U_{q}[gl(2)\oplus gl(2)]$-submodules $V^{q}_{k}$

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