A generalization of Pillen’s theorem for principal series modules

Yoshii, Yutaka

doi:10.1090/S0002-9939-2012-11395-4

A generalization of Pillen's theorem for principal series modules

Author: Yutaka Yoshii
Journal: Proc. Amer. Math. Soc. 140 (2012), 3761-3768
MSC (2010): Primary 20C33
DOI: https://doi.org/10.1090/S0002-9939-2012-11395-4
Published electronically: March 13, 2012
MathSciNet review: 2944716
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Abstract: Let be a connected, semisimple and simply connected algebraic group defined and split over the finite field of order . Pillen proved in 1997 that the highest weight vectors of some Weyl -modules generate the principal series modules as submodules for the corresponding finite Chevalley groups. This result is generalized in this paper.

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