Weyl 群的截面
表示论
2021-03-18 v2 群论
数论
摘要
在 G 为定义于代数闭域上的几乎单连通约化群的情形下，我们计算了满足辫关系的有限 Weyl 群的所有截面。随后我们证明该截面集合具有一种有趣的部分有序结构，并给出若干应用。
引用
@article{arxiv.1912.07665,
title = {The sections of the Weyl group},
author = {Moshe Adrian},
journal= {arXiv preprint arXiv:1912.07665},
year = {2021}
}
备注
23 pages, to appear in IMRN. In addition to computing the sections of the Weyl group, in this version we now also classify all T-conjugacy classes of sections. Fixed typo in the computations for type D_n adjoint, fixed mistake in the computations for type B_n adjoint. Fixed definition of partial order