A Holstein-Primakoff and a Dyson realization for the quantum algebra $U_q[sl(n+1)]$
Palev, T. D.
arXiv, 9804017 / Harvested from arXiv
Text on arXiv
The known Holstein-Primakoff and Dyson realizations of the Lie algebra $sl(n+1), n=1,2,...$ in terms of Bose operators (Okubo S 1975 J. Math. Phys. 16 528) are generalized to the class of the quantum algebras $U_q[sl(n+1)]$ for any $n$. It is shown how the elements of $U_q[sl(n+1)]$ can be expressed via $n$ pairs of Bose creation and annihilation operators.
Publié le : 1998-04-03
Classification:  Mathematics - Quantum Algebra,  Condensed Matter,  High Energy Physics - Theory,  Mathematical Physics,  Nuclear Theory 
@article{9804017,
     author = {Palev, T. D.},
     title = {A Holstein-Primakoff and a Dyson realization for the quantum algebra
  $U\_q[sl(n+1)]$},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9804017}
}

Palev, T. D. A Holstein-Primakoff and a Dyson realization for the quantum algebra
  $U_q[sl(n+1)]$. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9804017/