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arXiv · 1902.02151

On certain Iwahori--Hecke modules of $GL_3$ in characteristic $p$

Peng Xu
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Abstract

In this note, we show that the natural analogue of certain finiteness result of Barthel--Livn$\acute{\text{e}}$ on $GL_2$ fails for $GL_3$. More precisely, within the pro-$p$-Iwahori invariants of a maximal compact induction of $GL_3$, we show there exist non-zero Iwahori--Hecke submodules of \emph{infinite} codimension.

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BibTeXRIS

Peng Xu. 2019-02-06. On certain Iwahori--Hecke modules of $GL_3$ in characteristic $p$. https://arxiv.org/abs/1902.02151

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