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arXiv · 2207.01712

Center of the Yangian double in type A

Yang Fan·Naihuan Jing
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Abstract

We prove 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 Poincar\'e-Birkhoff-Witt theorem for the R-matrix presentation. These images coincide with the eigenvalues of the central elements in the Wakimoto modules.

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BibTeXRIS

Yang Fan, Naihuan Jing. 2022-07-04. Center of the Yangian double in type A. https://doi.org/10.1007/s11425-022-2142-9

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