论文标题

$ \ mathrm {cur}(\ mathrm {sl} _2(\ mathbb {c}))上的$ \ mathrm {cur}上的yang-baxter方程

Conformal Yang-Baxter equation on $\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))$

论文作者

Gubarev, Vsevolod, Kozlov, Roman

论文摘要

2008年,J。Liberati定义了什么是保形的Bialgebra,并引入了保形古典Yang-Baxter方程(CCYBE)。 CCYBE弱版本的$ L $ invariant解决方案提供了保形的谎言bialgebra结构。我们描述了当前谎言中的共形经典YANG-baxter方程的所有解决方案,串联代数$ \ mathrm {cur}(\ mathrm {slrm {sl} _2(\ mathbb {c}}))$及其弱版本。

In 2008, J. Liberati defined what is a conformal Lie bialgebra and introduced the conformal classical Yang-Baxter equation (CCYBE). An $L$-invariant solution to the weak version of CCYBE provides a conformal Lie bialgebra structure. We describe all solutions to the conformal classical Yang-Baxter equation on the current Lie conformal algebra $\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))$ and to the weak version of it.

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