Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Complete list of metadatas

Cited literature [54 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02570416
Contributor : Simon Riche <>
Submitted on : Tuesday, May 12, 2020 - 9:29:45 AM
Last modification on : Friday, May 15, 2020 - 2:35:29 AM

File

smith.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02570416, version 1
  • ARXIV : 2003.08522

Collections

Citation

Simon Riche, Geordie Williamson. Smith-Treumann theory and the linkage principle. 2020. ⟨hal-02570416⟩

Share

Metrics

Record views

7

Files downloads

12