l-modular blocks of Rep_k(SL_n(F))
Representation Theory
2024-09-10 v3
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).
Cite
@article{arxiv.2312.05954,
title = {l-modular blocks of Rep_k(SL_n(F))},
author = {Peiyi Cui},
journal= {arXiv preprint arXiv:2312.05954},
year = {2024}
}
Comments
Affiliation changed. The author corrects some errors in section 4 and section 5 in the previous version