A class of perverse sheaves on a partial flag manifold

2006/10/12 by Lusztig, G.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0610406

Abstract

We introduce a class of perverse sheaves on a partial flag manifold of a connected reductive group G defined over a finite field which are equivariant under the action of the group of rational points of G. The definition of this class is similar to the definition of parabolic character sheaves.

Related

• Parabolic character sheaves, I
• On parabolic restriction of perverse sheaves
• Perverse sheaves and t-structures on the thin and thick affine flag varieties
• Parabolic character sheaves, II
• Modular perverse sheaves on flag varieties I: tilting and parity sheaves