Nonstandard GL_h(n) quantum groups and contraction of covariant q-bosonic algebras
Quesne, C.
arXiv, 9810161 / Harvested from arXiv
Text on arXiv
$GL_h(n) \times GL_h(m)$-covariant $h$-bosonic algebras are built by contracting the $GL_q(n) \times GL_q(m)$-covariant $q$-bosonic algebras considered by the present author some years ago. Their defining relations are written in terms of the corresponding $R_h$-matrices. Whenever $n=2$, and $m=1$ or 2, it is proved by using U_h(sl(2)) Clebsch-Gordan coefficients that they can also be expressed in terms of coupled commutators in a way entirely similar to the classical case. Some U_h(sl(2)) rank-1/2 irreducible tensor operators, recently contructed by Aizawa in terms of standard bosonic operators, are shown to provide a realization of the $h$-bosonic algebra corresponding to $n=2$ and $m=1$.
Publié le : 1998-10-28
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics 
@article{9810161,
     author = {Quesne, C.},
     title = {Nonstandard GL\_h(n) quantum groups and contraction of covariant
  q-bosonic algebras},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810161}
}

Quesne, C. Nonstandard GL_h(n) quantum groups and contraction of covariant
  q-bosonic algebras. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810161/