论文标题

A型A Yangian双重中心

Center of the Yangian double in type A

论文作者

Fan, Yang, Jing, Naihuan

论文摘要

我们证明了A型Yangian Double的R-Matrix和Drinfeld演示是同构。构建了临界水平A型Yangian Double的中心元素。通过将Poincaré-Birkhoff-Witt定理的版本应用于R-Matrix演示文稿,可以计算出Harish-Chandra型同态同态下的这些元素的图像。这些图像与Wakimoto模块中中央元素的特征值一致。

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 Poincaré-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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