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arXiv · 1406.1003

Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra

Noriyuki Abe
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Abstract

We study the structure of parabolic inductions of a pro-$p$-Iwahori Hecke algebra. In particular, we give a classification of irreducible modulo $p$ representations of pro-$p$-Iwahori Hecke algebra in terms of supersingular representations. Since supersingular representations are classified by Ollivier and Vigneras, it completes the classification of irreducible modulo $p$ representations.

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BibTeXRIS

Noriyuki Abe. 2014-06-04. Modulo $p$ parabolic induction of pro-$p$-Iwahori Hecke algebra. https://arxiv.org/abs/1406.1003

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