Induced Representations of the Two Parametric Quantum Deformation U$_{pq}$[gl(2/2)]
Quantum Algebra
2015-06-26 v1 High Energy Physics - Theory
Mathematical Physics
Group Theory
math.MP
Representation Theory
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
The two-parametric quantum superalgebra 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 , even at generic deformation parameters, are not simply trivial deformations from those of the classical superalgebra , unlike the one-parametric cases.
Cite
@article{arxiv.math/0005122,
title = {Induced Representations of the Two Parametric Quantum Deformation U$_{pq}$[gl(2/2)]},
author = {Nguyen Anh Ky},
journal= {arXiv preprint arXiv:math/0005122},
year = {2015}
}
Comments
Latex, 40 pages, no figure. To appear in J. Math. Phys. 41 (2000)