On Donkin's Tilting Module Conjecture I: Lowering the Prime
Representation Theory
2022-04-18 v4 Group Theory
Abstract
In this paper the authors provide a complete answer to Donkin's Tilting Module Conjecture for all rank semisimple algebraic groups and where is an algebraically closed field of characteristic . In the process, new techniques are introduced involving the existence of -filtrations, Lusztig's character formula, and the T-radical series for baby Verma modules.
Cite
@article{arxiv.2103.14164,
title = {On Donkin's Tilting Module Conjecture I: Lowering the Prime},
author = {Christopher P. Bendel and Daniel K. Nakano and Cornelius Pillen and Paul Sobaje},
journal= {arXiv preprint arXiv:2103.14164},
year = {2022}
}