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

摘要

GL_h(n) x GL_n(m)-covriant h-bosonic algebras are built by contracting the GL_q(n) x 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_n(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 tensors, recently constructed By Aizawa in terms of standard bosonic operators, are shown to provide a relization of The h-bosonic algebra corresponding to n=2 and m=1.