Contraction par Frobenius et modules de Steinberg
Representation Theory
2017-07-05 v1
Abstract
For a reductive group G defined over an algebraically closed field of positive characteristic, we show that the Frobenius contraction functor of G-modules is right adjoint to the Frobenius twist of the modules tensored with the Steinberg module twice. It follows that the Frobenius contraction functor preserves injectivity, good filtrations, but not semisiplicity.
Cite
@article{arxiv.1707.00960,
title = {Contraction par Frobenius et modules de Steinberg},
author = {Michel Gros and Masaharu Kaneda},
journal= {arXiv preprint arXiv:1707.00960},
year = {2017}
}
Comments
In french