%0 Journal Article
%T Low dimensional projective indecomposable modules for Chevalley groups in defining characteristic
%A Alexandre E. Zalesski
%J Mathematics
%D 2012
%I arXiv
%X The paper studies lower bounds for the dimensions of projective indecomposable modules for Chevalley groups G in defining characteristic p. The main result extending earlier one by Malle and Weigel (2008) determines the modules in question of dimension equal to the order of a Sylow p-subgroup of G. We also substantially generalize a result by Ballard (1978) on lower bounds for the dimensions of projective indecomposable modules and find lower bounds in some cases where Ballard's bounds are vacuous.
%U http://arxiv.org/abs/1202.1308v1