A note on certain Iwahori--Hecke modules of $GL_3$ in characteristic $p$
Xu, Peng
arXiv, Tome 2019 (2019) no. 0, / Harvested from
In this note, we show that the analogue of certain finiteness result of Barthel--Livn$\acute{\text{e}}$ on $GL_2$ fails for $GL_3$. More precisely, for the pro-$p$ Iwahori invariants of the maximal compact induction of $GL_3$ with trivial coefficient, we show there exist non-zero Iwahori--Hecke submodules of \emph{infinite} codimension.
Publié le : 2019-02-06
Classification:  Mathematics - Representation Theory,  22E50 
@article{1902.02151,
     author = {Xu, Peng},
     title = {A note on certain Iwahori--Hecke modules of $GL\_3$ in characteristic $p$},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1902.02151}
}

Xu, Peng. A note on certain Iwahori--Hecke modules of $GL_3$ in characteristic $p$. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1902.02151/