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arXiv · 2505.17805

Notes on Chevalley Groups and Root Category I

Buyan Li·Jie Xiao
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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.

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Buyan Li, Jie Xiao. 2025-05-23. Notes on Chevalley Groups and Root Category I. https://arxiv.org/abs/2505.17805

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