本刊英文版2024年67卷第9期(1957-2194)摘要

Center of the Yangian double in type A Fan Yang&Naihuan Jing Abstract We prove that the R-matrix and Drinfeld presentations of the Yangian double in type A are isomorphic.The central elements of the completed Yangian double in type A at the critical level are constructed.The images of these elements under a Harish-Chandra-type homomorphism are calculated by applying a version of the Poincaré-Birkhoff-Witt theorem for the R-matrix presentation.These images coincide with the eigenvalues of the central elements in the Wakimoto modules.