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Main Author: Cui, Peiyi
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.05954
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author Cui, Peiyi
author_facet Cui, Peiyi
contents Let F be a non-archimedean local field with residual characteristic p, and k an algebraically closed field with characteristic l, where l different from p. Let Rep_k(SL_n(F)) be the category of smooth k-representations of SL_n(F). In this work, we establish the block decomposition of Rep_k(SL_n(F)) under the condition that p does not divide the order of the Weyl group of SL_n(F).
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institution arXiv
publishDate 2023
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spellingShingle l-modular blocks of Rep_k(SL_n(F))
Cui, Peiyi
Representation Theory
Let F be a non-archimedean local field with residual characteristic p, and k an algebraically closed field with characteristic l, where l different from p. Let Rep_k(SL_n(F)) be the category of smooth k-representations of SL_n(F). In this work, we establish the block decomposition of Rep_k(SL_n(F)) under the condition that p does not divide the order of the Weyl group of SL_n(F).
title l-modular blocks of Rep_k(SL_n(F))
topic Representation Theory
url https://arxiv.org/abs/2312.05954