Notes on Chevalley Groups and Root Category I
Representation Theory
2025-05-26 v1
Abstract
Based on the construction of simple Lie algebras via root category and following Chevalley's results, we construct Chevalley groups from the root category. Then we prove the Bruhat decomposition and the simplicity of the Chevalley groups, and calculate the orders of finite Chevalley groups.
Cite
@article{arxiv.2505.17805,
title = {Notes on Chevalley Groups and Root Category I},
author = {Buyan Li and Jie Xiao},
journal= {arXiv preprint arXiv:2505.17805},
year = {2025}
}
Comments
55 pages