Induced Representations of the Two Parametric Quantum Deformation U${}_{pq}$[gl(2/2)]

Abstract

The two-parametric quantum superalgebra $U_{p,q}[gl(2/2)]$ and its induced representations are considered. A method for constructing all finite-dimensional irreducible representations of this quantum superalgebra is also described in detail. It turns out that finite-dimensional representations of the two-parametric $U_{p,q}[gl(2/2)]$, even at generic deformation parameters, are not simply trivial deformations from those of the classical superalgebra $gl(2/2)$, unlike the one-parametric cases.

Latex, 40 pages, no figure. To appear in J. Math. Phys. 41 (2000)

References in corpus (3)

• $PSL(n|n)$ Sigma Model as a Conformal Field Theory
• Superalgebras, their quantum deformations and the induced representation method
• Two-parametric deformation $U_{p,q}[gl(2/1)]$ and its induced representations

Cited by in corpus (1)

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