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arXiv · 2312.05954

l-modular blocks of Rep_k(SL_n(F))

Peiyi Cui
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Abstract

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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BibTeXRIS

Peiyi Cui. 2023-12-10. l-modular blocks of Rep_k(SL_n(F)). https://arxiv.org/abs/2312.05954

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