In this note, we consider perverse sheaves on the nilpotent cone. We prove
orthogonality relations for the equivariant category of sheaves on the
nilpotent cone in a method similar to Lusztig's for character sheaves. We also
consider cleanness for cuspidal perverse sheaves and the generalized
Lusztig--Shoji algorithm.Comment: 18 pages, minor typos correcte