Quasi Modules for the Quantum Affine Vertex Algebra in Type A

We consider the quantum affine vertex algebra V_c(gl_N) associated with the rational R-matrix, as defined by Etingof and Kazhdan. We introduce certain subalgebras A_c (gl_N) of the completed double Yangian {\widetilde{DY_c(gl_N)}} at the level {c\inC}, associated with the reflection equation, and we employ their structure to construct examples of quasi V_c(gl_N)-modules. Finally, we use the quasi module map, together with the explicit description of the center of V_c(gl_N), to obtain formulae for families of central elements in the completed algebra {\widetilde{A_c (gl_N)}.