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arXiv:1902.02151 [math.RT]AbstractReferencesReviewsResources

A note on certain Iwahori--Hecke modules of $GL_3$ in characteristic $p$

Peng Xu

Published 2019-02-06Version 1

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.

Comments: Preliminary version, comments welcome
Categories: math.RT
Subjects: 22E50
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