Induced Representations of the Two Parametric Quantum Deformation U$_{pq}$[gl(2/2)]
Ky, Nguyen Anh
arXiv, 0005122 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-05-12
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Group Theory,  Mathematics - Representation Theory,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Quantum Physics,  81R50,  17A70 
@article{0005122,
     author = {Ky, Nguyen Anh},
     title = {Induced Representations of the Two Parametric Quantum Deformation
  U$\_{pq}$[gl(2/2)]},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0005122}
}

Ky, Nguyen Anh. Induced Representations of the Two Parametric Quantum Deformation
  U$_{pq}$[gl(2/2)]. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0005122/