The automorphism group of the Lie ring of real skew-symmetric matrices (Q2318926)

Summary: Denote by \(\mathfrak{A}_n\) the set of all \(n \times n\) skew-symmetric matrices over the field of real numbers, which forms a Lie ring under the usual matrix addition and the Lie multiplication as \([A, B] = A B - B A\), \(A, B \in \mathfrak{A}_n\). In this paper, we characterize the automorphism group of the Lie ring \(\mathfrak{A}_n\).