Smith-Treumann theory and the linkage principle

Abstract

In this paper 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 p-canonical basis, valid in all blocks and in all characteristics

Download PDF:
_{Sorry, we are unable to provide the full text but you may find it at the following location(s):}

https://hal.archives-ouvertes.... (external link)

https://hal.archives-ouvertes.... (external link)

https://hal.archives-ouvertes.... (external link)