On the existence of smooth orbital varieties in simple Lie algebras
On the existence of smooth orbital varieties in simple Lie algebras
Orbital varieties are the irreducible components of the intersection between a nilpotent orbit and a Borel subalgebra of the Lie algebra of a reductive group. There is a geometric correspondence between orbital varieties and irreducible components of Springer fibers. In type A, a construction due to Richardson implies that every …