Loewy series of parabolically induced $G_{1}T$-Verma modules

Abstract

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.

28 pages

Cited by in corpus (1)

• On the Frobenius direct image of the structure sheaf of a homogeneous projective variety