An embedding theorem between special linear groups over any fields
Let \(k\) and \(K\) be fields of the same characteristic, and \(n\geq 3\). The author proves that any injective homomorphism \(\sigma\) from \(\text{SL}_n(k)\) to \(\text{SL}_n(K)\) is of ``standard type'', i.e. there exist a homomorphism \(\alpha:k\to K\) and a \(Q\in\text{GL}_n(K)\) such that \(\sigma(A)=QA^\alpha Q^{-1}\) or \(\sigma(A)=Q((A^\alpha)')^{-1}Q^{-1}\) for all \(A\in\text{SL}_n(k)\).
scientific article; zbMATH DE number 832249