Back to Search
Start Over
Smith-Treumann theory and the linkage principle
- Publication Year :
- 2020
-
Abstract
- We apply Treumann's "Smith theory for sheaves" in the context of the Iwahori--Whittaker model of the Satake category. We deduce two results in the representation theory of reductive algebraic groups over fields of positive characteristic: (a) a geometric proof of the linkage principle; (b) a character formula for tilting modules in terms of the $\ell$-canonical basis, valid in all blocks and in all characteristics.<br />Comment: 52 pages, revised version, to appear in Publ. IHES
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2003.08522
- Document Type :
- Working Paper