Sheaves on the alcoves and modular representations II
Representation Theory
2020-04-07 v3
Abstract
We relate the category of sheaves on alcoves that was constructed in "Sheaves on the alcoves and modular representations I" to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects encode the simple rational characters of a reductive algebraic group in all characteristics above the Coxeter number.
Cite
@article{arxiv.1801.03958,
title = {Sheaves on the alcoves and modular representations II},
author = {Peter Fiebig and Martina Lanini},
journal= {arXiv preprint arXiv:1801.03958},
year = {2020}
}
Comments
38 pages. Some corrections in version 3. This is the companion article to "Sheaves on the alcoves and modular representations I". Both articles replace our earlier submissions arXiv:1508.05579 and arXiv:1504.01699