Center of the Yangian double in type A  

作　　者：Fan Yang Naihuan Jing 

机构地区：[1]Department of Mathematics,Jiaying University,Meizhou 514000,China [2]Department of Mathematics,North Carolina State University,Raleigh,NC 27695,USA

出　　处：《Science China Mathematics》2024年第9期1957-1988,共32页中国科学（数学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.12101261 and 12171303);the Simons Foundation(Grant No.523868)。

摘　　要：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.

关 键 词：Yangian double Harish-Chandra homomorphism Wakimoto module 

分 类 号：O15[理学—数学]