论文标题
在其$ r $ -matrix实现中的量子仿射代数的表示
Representations of Quantum Affine Algebras in their $R$-Matrix Realization
论文作者
论文摘要
我们使用$ r $ -Matrix和Drinfeld演示文稿之间的同构型，以$ b $，$ c $和$ d $的类型中的$ r $ -r $ -Matrix实现中的有限维度不可约束表示。我们还回顾了这些类型的Yangians的同构，并使用高斯分解来建立Yangians $ r $ -Matrix和Drinfeld演示中表示形式的描述。
We use the isomorphisms between the $R$-matrix and Drinfeld presentations of the quantum affine algebras in types $B$, $C$ and $D$ produced in our previous work to describe finite-dimensional irreducible representations in the $R$-matrix realization. We also review the isomorphisms for the Yangians of these types and use Gauss decomposition to establish an equivalence of the descriptions of the representations in the $R$-matrix and Drinfeld presentations of the Yangians.
