Yangian doubles of classical types and their vertex representations

Naihuan Jing, Fan Yang, Ming Liu

The Yangian double ${\text{DY}}_{\hslash }({\mathfrak{g}}_N)$ is introduced for the classical types of ${\mathfrak{g}}_N={\mathfrak{o}}_{2n+1}$, ${\mathfrak{sp}}_{2n}$, ${\mathfrak{o}}_{2n}$. Via…