Slices for biparabolics of index one

Florence Fauquant-Millet, Anthony Joseph

Let $\mathfrak{a}$ be an algebraic Lie subalgebra of a simple Lie algebra $\mathfrak{g}$ with index $\mathfrak a \leq \rank \mathfrak g$. Let $Y(\mathfrak{a})$ denote the algebra of $…