title: Vanishing properties of cuspidal local systems.
abstract: Prehomogeneous vector spaces arising from semisimple groups are considered, and it is shown that certain local systems on the open orbit have the property that their middle extension is zero on the complement of the open orbit.
authors.affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
authors.forename: G
authors.initials: G
authors.lastname: Lusztig