Irreducible representations of Upq[gl(2/2)]

Details Irreducible representations of Upq[gl(2/2)] Irreducible representations of Upq[gl(2/2)]

2001-04-10

arxiv.org/abs/math/0104105v2

J.Phys.A34:7881-7888,2001

Mathematics

Quantum Algebra

Latex, 8 pages. A reference added in v.2

Scientific paper

10.1088/0305-4470/34/38/312

The two-parametric quantum superalgebra $U_{pq}[gl(2/2)]$ and its representations are considered. All finite-dimensional irreducible representations of this quantum superalgebra can be constructed and classified into typical and nontypical ones according to a proposition proved in the present paper. This proposition is a nontrivial deformation from the one for the classical superalgebra gl(2/2), unlike the case of one-parametric deformations.

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