AI 中文总结
研究局部环上${}^2 A_\ell \ (\ell \geq 5)$型扭曲谢瓦莱群自同构，证明在2可逆局部环上其自同构是标准的，为后续相关群的自同构和同构分类研究奠定基础。
AI 中文摘要
本文是致力于交换环上扭曲谢瓦莱群自同构和同构分类系列论文的第一篇。我们证明了在2可逆的局部环上，${}^2A_\ell$ $(\ell \geq 5)$型扭曲谢瓦莱群的每个自同构都是标准的。
英文摘要
This paper is the first in a series devoted to the classification of automorphisms and isomorphisms of twisted Chevalley groups over commutative rings. In the present paper, we prove that every automorphism of a twisted Chevalley group of type ${}^2A_\ell$ $(\ell \geq 5)$ over a local ring in which $2$ is invertible is standard.
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