Nonstandard GL_h(n) quantum groups and contraction of covariant q-bosonic algebras
| dc.creator | Quesne, C. | |
| dc.date | 1998-10-28 | |
| dc.date.accessioned | 2026-07-07T05:26:37Z | |
| dc.date.available | 2026-07-07T05:26:37Z | |
| dc.description | $GL_h(n) \times GL_h(m)$-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 $m=1$. | |
| dc.description | 7 pages, LaTeX, no figure, presented at the 7th Colloquium ``Quantum Groups and Integrable Systems'', Prague, 18--20 June 1998, submitted to Czech. J. Phys | |
| dc.identifier | https://arxiv.org/abs/math/9810161 | |
| dc.identifier | http://arxiv.org/abs/math/9810161 | |
| dc.identifier | Czech. J. Phys. 48 (1998) 1471-1476 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77618 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Nonstandard GL_h(n) quantum groups and contraction of covariant q-bosonic algebras | |
| dc.type | text |