The Automorphism Group of the Lie Ring of Real Skew-Symmetric Matrices

الملخص EN

Denote by ?n the set of all n×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]=AB-BA, A,B∈?n.

In this paper, we characterize the automorphism group of the Lie ring ?n.