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

Abstract

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.

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

References in corpus (5)

• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• gl(N|N) Super-Current Algebras for Disordered Dirac Fermions in Two Dimensions
• $PSL(n|n)$ Sigma Model as a Conformal Field Theory
• Two-parametric deformation $U_{p,q}[gl(2/1)]$ and its induced representations
• Induced Representations of the Two Parametric Quantum Deformation U${}_{pq}$[gl(2/2)]