Compound-Commuting Mappings on Skew-Hermitian Matrices

Let (Formula presented.) be a field with proper involution ? and let r, s be even integers with r, s > 2. Let SHr (Formula presented.) and Cr?1(M) denote the set of all r × r skew-Hermitian matrices over the field (Formula presented.) and the (r ? 1)-th compound of a matrix M , respectively. In this study, we investigate the characterization of a mapping ? : SHr (Formula presented.) ? SHs(Formula presented.) that satisfies, (Formula presented.), for any (Formula presented.) and (Formula presented.), where (Formula presented.). © 2025, Universiti Putra Malaysia. All rights reserved.