engleski

Quasi Modules for the Quantum Affine Vertex Algebra in Type A

We consider the quantum affine vertex algebra Vc(glN) associated with the rational R-matrix, as defined by Etingof and Kazhdan. We introduce certain subalgebras Ac(glN) of the completed double Yangian DY˜c(glN) at the level c∈C, associated with the reflection equation, and we employ their structure to construct examples of quasi Vc(glN)-modules. Finally, we use the quasi module map, together with the explicit description of the center of Vc(glN), to obtain formulae for families of central elements in the completed algebra A˜c(glN).

quantum vertex algebra ; quasi module ; reflection algebra

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