Vg. Gueorguiev et al., Q-ANALOG OF A(M-1)CIRCLE-PLUS-A(N-1)SUBSET-OF-A(MN-1), International journal of theoretical physics, 34(11), 1995, pp. 2195-2204
A natural embedding A(m-1) circle plus A(n-1) subset of A(mn-1) for th
e corresponding quantum algebras is constructed through the appropriat
e comultiplication on the generators of each of the A(m-1) and A(n-1)
algebras. The above embedding is proved in the q-boson realization by
means of the isomorphism between the A(q)(-)(mn) similar to circle tim
es(n) A(q)(-)(m) similar to circle times(m) A(q-)(n) algebras.