Hecke action on the principal block
Name
2009.10587.pdf
Description
Submitted version
Size
819.45 KB
Format
Adobe PDF
Checksum (MD5)
0f0ca43c9e61411807110f265330061c
Author(s)
Bezrukavnikov, Roman
Riche, Simon
Date Issued
May 2022
Journal
Compositio Mathematica
Publisher
Wiley
Citation
Bezrukavnikov, Roman and Riche, Simon. 2022. "Hecke action on the principal block." Compositio Mathematica, 158 (5).
Version
Original manuscript
Abstract
In this paper we construct an action of the affine Hecke category (in its ‘Soergel bimodules’ incarnation) on the principal block of representations of a simply connected semisimple algebraic group over an algebraically closed field of characteristic bigger than the Coxeter number. This confirms a conjecture of G. Williamson and the second author, and provides a new proof of the tilting character formula in terms of antispherical $p$-Kazhdan–Lusztig polynomials.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1112/s0010437x22007436
