A Dyson realization and a Holstein-Primakoff realization for the quantum superalgebra $U_q[gl(n/m)]$
Palev, T. D.
arXiv, 9804062 / Harvested from arXiv
Text on arXiv
The Holstein-Primakoff and the Dyson realizations of the Lie superalgebra $gl(n/m)$ are generalized to the class of the quantum superalgebras $U_q[gl(n/m)]$ for any $n$ and $m$. It is shown how the elements of $U_q[gl(n/m)]$ can be expressed via $n-1$ pairs of Bose creation and annihilation operators and $m$ pairs of Fermi creation and annihilation operators.
Publié le : 1998-04-13
Classification:  Mathematics - Quantum Algebra,  Condensed Matter,  High Energy Physics - Theory,  Mathematical Physics,  Nuclear Theory 
@article{9804062,
     author = {Palev, T. D.},
     title = {A Dyson realization and a Holstein-Primakoff realization for the quantum
  superalgebra $U\_q[gl(n/m)]$},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9804062}
}

Palev, T. D. A Dyson realization and a Holstein-Primakoff realization for the quantum
  superalgebra $U_q[gl(n/m)]$. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9804062/