English

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

Quantum Algebra 2008-11-26 v2 High Energy Physics - Theory Mathematical Physics math.MP Representation Theory Exactly Solvable and Integrable Systems Quantum Physics

Abstract

The two-parametric quantum superalgebra Upq[gl(2/2)]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.

Keywords

Cite

@article{arxiv.math/0104105,
  title  = {Irreducible representations of Upq[gl(2/2)]},
  author = {Nguyen Anh Ky},
  journal= {arXiv preprint arXiv:math/0104105},
  year   = {2008}
}

Comments

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