Sheaves on the alcoves and modular representations II
Preprint
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.Keywords
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This publication has 3 references indexed in Scilit:
- SHEAVES ON THE ALCOVES AND MODULAR REPRESENTATIONS ITransformation Groups, 2020
- Kazhdan–Lusztig combinatorics in the moment graph settingJournal of Algebra, 2012
- Sheaves on moment graphs and a localization of Verma flagsAdvances in Mathematics, 2008