We give explicit realization for the quantum enveloping algebras U_q(C_n). To obtain recurrence formulae we extend simply the algebra U_q(C_n) to U_q(C-tilde_n) , for which U_q(C_n) is a subalgebra. In these formulae the generators of the algebra are expressed by means of 2n-1 canonical q-boson pairs and one auxiliary representation of U_q(C-tilde_(n-1)).
展开▼
