On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra

Michaël Bulois, Nicolas Ressayre

Let $\mathfrak{g}$ be a complex simple Lie algebra with Borel subalgebra $\mathfrak{b}$. Consider the semidirect product $I\mathfrak{b}=\mathfrak{b}⋉{\mathfrak{b}}^{\ast }$, whe…