It is proved that any Bethe subalgebra corresponding to a regular semisimple element in a Yangian is a maximal commutative subalgebra and, moreover, the centralizer of its quadratic part. As a consequence, a description of such subalgebras as the traces of the R-matrix over all finite-dimensional representations of the Yangian is obtained.

中文翻译：

---

仰光中某些交换子代数的最大值

证明了与仰光中的正则半简单元素相对应的任何Bethe子代数都是最大的交换子代数，而且是其二次部分的对中。结果，获得了对这些子代数的描述，例如在Yangian的所有有限维表示上的R-矩阵的迹线。