Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Li, Buyan, Xiao, Jie
Institutions: Beijing Normal University, Tsinghua University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6891745782
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