Perverse Sheaves on the Nilpotent Cone and Lusztig's Generalized Springer Correspondence

2014/09/25 by Rider, Laura, Russell, Amber
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1409.7132

Abstract

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.

Related

• On singular supports of Lusztig's perverse sheaves
• Graham's Variety and Perverse Sheaves on the Nilpotent Cone
• Lecture notes on sheaves and perverse sheaves
• Applications of perverse sheaves in commutative algebra
• Perverse coherent sheaves (after Deligne)