• Citer

Nonstandard Glh(n) quantum groups and contraction of covariant q-bosonic algebras

par Quesne, Christiane
Référence Czechoslovak Journal of Physics, 48, 11, page (1471-1476)
Publication Publié, 1998-11

Article révisé par les pairs

• Détails
• Contenu

Résumé :

GLh(n) × GLh(m)-covariant h-bosonic algebras are built by contracting the GLq(n) × GLq(m)-covariant q-bosonic algebras considered by the present author some years ago. Their defining relations are written in terms of the corresponding Rh-matrices. Whenever n = 2, and m = 1 or 2, it is proved by using Uh(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 Uh(sl(2)) rank-(1/2) irreducible tensor operators, recently constructed 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.