On Parabolic Restriction of Perverse Sheaves.

Autor: Bezrukavnikov, Roman, Yom Din, Alexander
Předmět:
Zdroj: Publications of the Research Institute for Mathematical Sciences; 2021, Vol. 57 Issue 3/4, p1089-1107, 19p
Abstrakt: We prove exactness of parabolic restriction and induction functors for conjugation equivariant sheaves on a reductive group generalizing a well-known result of Lusztig who established this property for character sheaves. We propose a conjectural (but known for character sheaves) t-exactness property of the Harish-Chandra transform and provide evidence for that conjecture. We also present two applications generalizing some results of Gabber and Loeser on perverse sheaves on an algebraic torus to an arbitrary reductive group. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index