%0 Journal Article
%T Loewy series of parabolically induced $G_1T$-Verma modules
%A Noriyuki Abe
%A Masaharu Kaneda
%J Mathematics
%D 2012
%I arXiv
%R 10.1017/S1474748014000012
%X Assuming the Lusztig conjecture on the irreducible characters for reductive algebraic groups in positive characteristic $p$, which is now a theorem for large $p$, we show that the modules for their Frobenius kernels induced from the simple modules of $p$-regular highest weights for their parabolic subgroups are rigid and determine their Loewy series.
%U http://arxiv.org/abs/1210.1734v1