Vertex operators of admissible modules of \(U_q(C_n^{(1)})\) (Q1271024)

A \(q\)-analogue of the Feingold-Frenkel construction of admissible level \(-1/2\) representations of symplectic affine Lie algebras is given in [\textit{N. Jing, Y. Koyama} and \textit{K. Misra}, Bosonic realization of \(U_q(C_n^{(1)})\), J. Algebra 200, 155-172 (1998)]. In the paper under review, the authors use this explicit realization to construct explicitly \(q\)-vertex operators for the level \(-1/2\) modules of \(U_q(C_n^{(1)})\) using bosonic fields. Their method contains a detailed analysis of all the \(q\)-intertwining relations.