Vinberg’s $\theta$-Groups and Rigid Connections
Vinberg’s $\theta$-Groups and Rigid Connections
Let |$G$| be a simple complex group of adjoint type. In his unpublished work, Z. Yun associated to each |$\theta$|-group |$(G_0,{\mathfrak g}_1)$| and a vector |$X\in{\mathfrak g}_1$| a flat |$G$|-connection |$\nabla ^X$| on the trivial |$G$|-bundle on |$\mathbb P^1-\{0,\infty\}$|, generalizing the construction of Frenkel and Gross in [5]. In this …