Rep_k(SL_n(F))的l-模块
表示论
2024-09-10 v3
摘要
设F是剩余特征为p的非阿基米德局部域,k是特征为l的代数闭域,其中l与p不同。令Rep_k(SL_n(F))为SL_n(F)的光滑k-表示的范畴。本文中,我们在p不整除SL_n(F)的Weyl群阶的条件下,建立了Rep_k(SL_n(F))的块分解。
引用
@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}
}
备注
Affiliation changed. The author corrects some errors in section 4 and section 5 in the previous version