论文标题
Drinfeld实现了中央扩展的$ \ Mathfrak {psl}（2 | 2）$ yangian代数与明显的coproducts
Drinfeld realization of the centrally extended $\mathfrak{psl}(2|2)$ Yangian algebra with the manifest coproducts
论文作者
论文摘要
谎言superalgebra $ \ mathfrak {psl}（2 | 2）$在数学和理论物理学中都被认为是非常特殊的。在本文中，我们介绍了与中央扩展的Lie Superalgebra $ \ Mathfrak {PSL}（2 | 2）$相关的Yangian代数的Drinfeld实现。此外，我们表明它具有HOPF代数结构，尤其是相关结构。证明明显合并的存在的想法是以下内容。首先，我们将向他们介绍Levendorskii的认识，这是Drinfeld发电机有限截断的系统。其次，我们表明Levendorskii的认识是通过归纳实现Drinfeld的同构。
The Lie superalgebra $\mathfrak{psl}(2|2)$ is recognized as a pretty special one in both mathematics and theoretical physics. In this paper, we present the Drinfeld realization of the Yangian algebra associated with the centrally extended Lie superalgebra $\mathfrak{psl}(2|2)$. Furthermore, we show that it possesses the Hopf algebra structures, particularly the coproducts. The idea to prove the existence of the manifest coproducts is the following. Firstly, we shall introduce them to Levendorskii's realization, a system of a finite truncation of the Drinfeld generators. Secondly, we show that Levendorskii's realization is isomorphic to the Drinfeld realization by induction.
